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重子數減去輕子數的差 | 在粒子物理學中，**重子數減去輕子數的差**，顧名思義，就是一個粒子或系統中，重子數減去輕子數之後所得的量子數，而這量子數又記做 **$~B-L~$** 。
## 細節
在一些大統一理論中，這個量子數是一種整體 / 規範場的 U (1) 對稱，而這種對稱一般記做 U (1)B−_L_。跟單獨的重子數或單獨的輕子數不同的是，在這種對稱性是整體性的狀況之下，這種假想的對稱性不會因為手徵性異常（chiral anomaly）或重力異常（gravitational anomaly）而受到破壞，而這也是為何這種對稱性常被提出的原因。
在 $~B-L~$ 作為一種對稱存在的狀況下，若翹翹板機制成立，那 $~B-L~$ 就必須出現自發對稱破缺以賦予中微子大於零的質量。
可能導致重子數守恆及輕子數守恆受破壞的微擾反常，會透過 $~B-L~$ 總是守恆這點彼此相抵，一個猜想的例子是質子衰變，在其中質子（ $\,B=1\,,~L=0\,$ ）會衰變成一顆 π 介子跟一顆正子。
$Y_{\text{W}}$ 這種弱超荷與 $~B-L~$ 透過以下關係式產生關連：
: $X+2\,Y_{\text{W}}=5\,(B-L),~$
在此式中，X 荷是一個守恆的量子數，而這量子數與大統一理論中的整體 U (1) 對稱相關聯。
## 參見
* 重子生成（Baryogenesis）
* 輕子生成（Leptogenesis）
* 馬約拉納子（Majoron）
* 質子衰變
* X 及 Y 玻色子
* X 荷
* 輕子夸克（Leptoquark）
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近交系数 | **近交係數**（英語：coefficient of inbreeding / inbreeding coefficient）是表示一個個體的近親繁殖程度的數值，其定義為一個個體的兩個同源基因與共同祖先的同一基因純合的概率，通常計作_**f**_或_**F**_。需注意的是，它不考慮個體表達的性狀，僅通過先驗概率計算得出，也不考慮性染色體上的基因或隱性致死基因。
近交係數是衡量子代的指標，但如果將其視為其親代（夫妻）之間或任何兩個個體之間的關係，則稱為**近親係數**或**共親係數**（coefficient of kinship / coefficient of coancestry）。換句話說，兩個個體間的近親係數等於其子代的近交係數。有時兩種概念也不嚴格區分。
親緣係數（coefficient of relationship）是一個與之類似的遺傳接近程度的概念，用 r 表示。親緣係數 _r_ 可以由近交係數 _F_ 計算得出。
## 歷史
近交係數的概念於 1921 年由休厄爾・賴特提出。嚴格而言，當時其定義與現在的定義有所不同，當時的定義為結合的配子之間的遺傳相關性。1948 年，古斯塔夫・馬萊科給出了當前版本的定義。
## 親緣係數
賴特還提出了另一種表示親緣關係的度量：親緣係數。近交係數 F 和親緣係數 r 之間的關係為：
: $r_{ij}={\frac {2F_{ij}}{{\sqrt {1+F_{i}}}{\sqrt {1+F_{j}}}}}$
## 數值
### 簡單案例
二倍體有性生殖的情形如下。其中「親等」按日本計法（不計自身）；中國的代數計法以一輩為一代，自己計一代，即相當於日本的親等數 + 1。F 為近交係數。r 為親緣係數。
除非另有說明，否則父母雙方的所有兄弟姐妹關係都可視作等同。此外，因收養、婚姻等而產生的法律上的家庭關係除外。
嚴格而言，即使不是近親繁殖，F 也會是一個很小的非零值。在人類這樣的大種群中，陌生人的 F 很小，但在實驗動物和栽培品種等高度近交的種群中，無關個體之間的 F 不容忽視。極端情況下會出現 _F_ ≥ 1/2，此時稱之為近交系。
### 計算方法 | [
-0.31544604897499084,
0.2682875096797943,
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近交系数 | 只有一個共同祖先的簡單關係之間，F 的計算方法為 _F_ = 1/2n + 1 ，其中 n 是父母之間的親等（按日本計法）。也就是說，共同祖先起算的 _n_1 代後的後代和 _n_2 代後的後代之間的 _n_ = _n_1 + _n_2。
如果有多個共同祖先，則將每個共同祖先計算的 F 加和 。（同父母）兄弟姐妹及其後代的情況下有兩個共同祖先：父親和母親，共兩人，需要進行這種加和。此時，_F_ = 1/2n + 1+ 1/2n + 1 = 1/2n，是共同祖先的兩倍。
在共同祖先的 F（記為 FA）不為零的情況下，則可能繼承其純合形式，因而此時需要乘以 1 + _FA_。
上述關係可以用如下公式表示：
: $F=\sum _{A}{{1+F_{A}} \over {2^{n+1}}}$
## 純合的增加
### 與哈代 - 溫伯格定律的關係
考慮近交係數，兩個等位基因之間的純合子比例在哈代 - 溫伯格定律中所示的 _p_2 和 _q_2 的基礎上，增加了 pqF（p 和 q 是兩個等位基因的比例）；而雜合率在 2_pq_ 的基礎上減少 2_pqF_，即原來的 1 - _F_ 倍。
### 遺傳病增加
一些遺傳病，特別是致死性遺傳病，大多是純合子表現的隱性遺傳病。因此，F 越高，純合子的比例越高，發病的概率就越高。增加與 F 成正比。
## 參見
* 血親
* 近親婚姻
* 近親繁殖
* 親緣係數
* 最近共同祖先
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重子發生 | 在物理宇宙學當中，**重子生成**（Baryogenesis，英語又作 Baryosynthesis）是一個物理上的過程，而一般猜想說這過程發生於宇宙早期且是導致重子不對稱的原因，而所謂的重子不對稱，指的是在已觀測的宇宙中物質（重子）和反物質（反重子）數量不平衡的現象。
在當代物理學上，一個顯著的問題是為何在宇宙中，物質會遠多於反物質，也就是做為一個整體，宇宙似乎有著大於零的重子數；而根據宇宙學的假定，我們現今觀察到的粒子，應當是透過和跟我們現今所觀測到的一樣的物理法則產生的，而根據已知的物理法則，宇宙整體的重子數應該是零，也就是說，物質跟反物質應該要一樣多，但這不合於觀測到的事實。學界目前已提出多種理論機制以解釋這落差，而這些機制的目的是在解釋味對稱的破壞與普通物質（而非反物質）的發生。就目前的觀點，這不對稱性必須要非常小，小到在大爆炸後遠短於一秒的時間單位內，大約每 1630000000 個粒子才會有一個出現不對稱性的程度；而在物質與反物質相互湮滅後，剩下來的重子，以及為數更加龐大的玻色子，構成了現今宇宙所有的重子物質和其他的東西；然而 2010 年費米實驗室的報告指出，重子物質間的不對稱性，可能遠比之前預想的更大。相關實驗包括了一系列的粒子對撞實驗，而在這些粒子對撞實驗中生成的物質，比反物質還多出 1%，而迄今為止造成此落差的原因尚屬未知。
多數的大統一理論都蓄意打破重子數對稱，因為是解釋物質與反物質數量不對稱的方法之一，而在這些模型中，重子數對稱的破壞，往往都涉及質量非常大的 X 玻色子（
X
）或者質量也相當大的希格斯玻色子（
H0
），
而這類事件發生的速率，取決於作為中介粒子的
X
和
H0
的質量，因此在假定這些反應是造成宇宙中的重子數的主要原因的情況下，可以計算出這些粒子的質量上限，而這是因為若這些粒子的質量太大的話，相關反應的速率就會太慢，以致無法解釋現今觀察到的重子數所致；而根據這些模型的預測，若能取得大量的物質，就能偶爾觀察到質子衰變的現象，但迄今學界尚未觀察到質子衰變，因此物質與反物質數量出現不對稱的原因，至今依舊是個謎。
重子生成的理論是奠基於對粒子交互作用的兩種描述之上的，其中第一種是電弱交互作用（也就是標準模型描述的範圍）的框架下的重子生成，這種重子生成會在電弱時期時出現；另一種是大統一理論框架下的重子生成，這種重子生成會在大一統時期時或這段時間後不久出現；而量子場論與統計物理學是描述這些現象可能機制的工具。 | [
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重子發生 | 在重子生成後，接著發生的是太初核合成，在其中原子核開始形成。
## 背景
絕大多數的普通物質都可在原子核中找到，而原子核是以質子和中子構成的；而質子和中子又都是以夸克所組成的；而 1928 年提出的狄拉克方程式又預測了這些粒子的反粒子存在；而在那之後，每種反夸克的存在都在實驗中得到證實；此外，根據目前關於宇宙創生的理論的預測，宇宙應該會有數量幾近相等的夸克與反夸克，
而在宇宙冷卻到大約 2×1012 K 的臨界溫度後，夸克開始形成普通物質與反物質並開始彼此湮滅，但其起始條件中，有極其微小的不對稱（一說認為這不對稱的程度大約為五百億分之一），因此湮滅會剩下少量的粒子，而這些粒子最終組成了我們生活周遭的各種物質；然而迄今為止，人們尚未在實驗中觀察到自由夸克與反夸克─夸克與反夸克總是都以三個組成一顆粒子的型態（重子）出現，或一個夸克與反夸克成對組成一顆粒子的型態（介子）出現；此外，迄今為止也沒有任何實驗證據顯示可觀測宇宙中有顯著地以反物質組成的部分。
對於這種不平衡，有兩種主要的解釋：要不然宇宙的起始條件包含了微小的不平衡（也就是宇宙的總重子數不是零）；要不就是宇宙開始時是完美對稱的，但因為一些原因，一系列的現象導致了物質多於反物質的微小不平衡。這其中第二種解釋較受到物理學家的青睞，但迄今為止，並沒有實證上的理由認為這兩種解釋中有其中一種比較正確。
## 薩哈羅夫要件下的大統一重子生成
1967 年，安德烈・德米特里耶維奇・薩哈羅夫提出了三個要件，而所有產生重子且使得物質和反物質有不同生成速率的交互作用，都必須滿足這些條件，薩哈羅夫是受到當時新近發現的宇宙背景輻射與 K 介子系統中出現的 CP 破壞的啟發，而出現這些想法的。
以下是薩哈羅夫提出的三個要件：
* 重子數（ $B$ ）守恆的破壞。
* 電荷共軛對稱與 CP 對稱的破壞。
* 在熱力學平衡之外的交互作用。
一般認為，重子數守恆的破壞是讓重子的產生得以遠多於反重子的必要關鍵，但電荷共軛對稱的破壞也是必要的，而電荷共軛對稱的破壞，使得生成重子多於反重子的交互作用，不至於受到生成反重子多於重子的交互作用所抵銷；類似地，CP 破壞也是必要的，不然的話，宇宙應該會生成數量相等的左手性重子與右手性反重子。最後，這些交互作用必須在不處於熱平衡的條件下進行，不然的話 CPT 對稱會使得增加和減少重子數的交互作用彼此補償。 | [
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重子發生 | 截至目前為止，尚未有實證證據顯示說在某些交互作用中，重子數守恆會因微擾而受到破壞，而這顯示說任何觀察到的粒子交互作用，在之前和之後都有一樣的重子數；而在數學上，（微擾）標準模型的哈密頓算符與重子數量子算符的交換子為零： $[B,H]=BH-HB=0$ ；然而，已知標準模型中重子數守恆只會在非微擾的狀況下受到破壞：全局 U (1) 反常。為了解釋重子生成時的重子數守恆破壞，大統一理論（GUTs）和超對稱模型（SUSY）等常常會假定此類的事件（包括質子衰變）可透過 X 玻色子等假想的高質量玻色子發生。
這其中第二個條件，也就是 CP 對稱的破壞，已於 1964 年發現（直接的 CP 破壞，也就是 CP 對稱的破壞，則之後在 1999 年發現）；而由於 CPT 對稱的緣故，CP 對稱的破壞也必然導致時間反演對稱的破壞。
在最後一個條件，也就是熱力學不平衡的場景中，生成重子不對稱的反應，其速率必須低於宇宙膨脹的速率，在這情境下，粒子與其對應的反粒子會因為宇宙快速膨脹的緣故，而無法達到熱平衡，並進而導致成對湮滅發生的可能降低。
## 標準模型框架下的重子生成
標準模型可以包含重子生成；然而這框架下的總重子數可能不足以解釋觀察到的重子不對稱，而就目前觀察到的狀況，宇宙早期的夸克數要大約多於夸克─反夸克對的十億分之一，才能解釋宇宙中所有觀察到的物質；而截至目前為止，這不足性不管在理論上或在其他方面都尚未得到解釋。
若要在標準模型框架下容納重子生成，那麼電弱對稱性破壞就必須是一個一級相變，而這是因為若非如此的話，那滑子就會減少因此產生的重子數不對稱；而在此之外，任何重子數不守恆的交互作用都是可忽略的。
相變發生處的領域牆會自發性地破壞宇稱守恆，而這使得破壞 CP 對稱的交互作用，得以在牆的兩邊同時破壞電荷共軛對稱，其中夸克傾向在發生對稱破缺的相的一邊累積，而反夸克則傾向在沒發生對稱破缺的相的一邊累積；由於導致 CP 破壞的電弱交互作用之故，一些涉及夸克的放大機制與一些涉及反夸克的相應機制彼此不相等，但有著相反的相（見卡比博 - 小林 - 益川矩陣與 K 介子）；而由於時間反演會將這放大機制變成其複共軛之故，因此在整個過程中，CPT 守恆依舊成立。 | [
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重子發生 | 盡管有些放大機制有著相反的相，但由於夸克與反夸克都有著正能量之故，因此隨著其於時空中的移動，夸克跟反夸克都會得到相同的相；而其相也取決於其質量，夸克跟反夸克的質量取決於希格斯真空期望值等會隨著領域牆而變的數值與其味，但此外夸克跟相應的反夸克質量相等，因此夸克放大機制的特定和與反夸克相應機制的和，其絕對值會有所不同。總之，夸克與反夸克在通過領域牆時，可能有著不同的反映與不同的傳輸機率，而觀察到的結果就是，比起反夸克，有更多夸克從沒發生對稱破缺的相成功轉移至另一邊。
因此總地而言，有道重子流通過領域牆；而由於在沒發生對稱破缺的相一端常見的滑子過渡機制之故，因此在沒有發生對稱破缺的相一端、以反重子形式存在的反重子物質會變成輕子；然而，在發生對稱破缺的相的一端，滑子本身相當少見，因此無法有效減少這裡多餘的重子，因此這機制的淨效應就是產生更多的重子（與輕子）。
在這場景當中，非微擾性的電弱交互作用（像例如滑子）是重子數對稱破壞的主因，而微擾性的弱交互作用在拉格朗日量則是造成 CP 破壞的主因，而領域牆的存在則是熱力學不平衡與宇稱守恆破壞的主因，此點與 CP 破壞一起在領域牆的兩邊導致了電荷共軛對稱的破壞。
## 宇宙中的重子物質
重子生成的核心問題是什麼導致了宇宙中物質多於反物質，以及這不平衡的程度，這其中一個重要的量化指標是「不平衡參數」，其公式如下：
: $\eta ={\frac {n_{B}-n_{\bar {B}}}{n_{\gamma }}}$
在此 nB 與 nB 分別表示重子與反重子的數量密度，而 nγ 則是宇宙背景輻射光子的數量密度。
根據大爆炸模型，在絕對溫度大約 3000K 時候，物質與宇宙背景輻射退耦合，而這表示當時的平均動能大約為 3000 K / (10.08×103 K/eV) = 0.3 eV；在退耦合後，宇宙背景輻射的總光子數大致保持恆定，因此隨著時空的膨脹，其光子密度降低，而在平衡溫度 T 下每立方公分的光子密度由下式給出： | [
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重子發生 | : $n_{\gamma }={\frac {1}{\pi ^{2}}}{\left({\frac {k_{B}T}{\hbar c}}\right)}^{3}\int _{0}^{\infty }{\frac {x^{2}}{e^{x}-1}}\operatorname {d} x={\frac {2\zeta (3)}{\pi ^{2}}}{\left({\frac {k_{B}T}{\hbar c}}\right)}^{3}\approx 20.3\left({\frac {T}{1{\text{K}}}}\right)^{3}{\text{cm}}^{-3}$
在其中，kB 是波茲曼常數，ħ是普朗克常數除以 2π 與真空中的光速 c 後的值，而 ζ(3) 則是阿培里常數。由於當今宇宙背景輻射的溫度為 2.725 K 之故，因此當今宇宙背景輻射光子的密度 nγ 大約為每立方公分有 411 顆宇宙背景輻射光子。
由於這些理由，因此可以認為，上面給出的不平衡參數 η 不是「最好」的參數，而更好的不平衡參數涉及熵密度 s，其公式如下：
: $\eta _{s}={\frac {n_{B}-n_{\bar {B}}}{s}}$
熵密度在宇宙演化的過程中相對保持恆定，而宇宙的熵密度可由下式給出：
: $s\ {\stackrel {\mathrm {def} }{=}}\ {\frac {\mathrm {entropy} }{\mathrm {volume} }}={\frac {p+\rho }{T}}={\frac {2\pi ^{2}}{45}}g_{\text{⁎}}(T)T^{3}$
在其中，_p_ 與 ρ 分別為能量密度張量 Tμν 給出的壓力與密度；而 g⁎則是在溫度為 T（至少在於 mc2 ≪ kBT 的情況下）時的「無質量」粒子的有效自由度數量，此外，對於在溫度分別為 Ti 與 Tj 時，有著 gi 與 gj 的自由度的玻色子和費米子而言，
: $g_{\text{⁎}}(T)=\sum _{\mathrm {i=bosons} }g_{i}{\left({\frac {T_{i}}{T}}\right)}^{3}+{\frac {7}{8}}\sum _{\mathrm {j=fermions} }g_{j}{\left({\frac {T_{j}}{T}}\right)}^{3}$
在當下，s = 7.04 nγ。 | [
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] |
重子發生 | ## 進行中的研究
### 與暗物質間的關聯
對於重子生成的原因，一個可能解釋是 **B 介子生成**，這現象指出，在宇宙的早期，像是 B 介子等粒子會衰變成一個標準模型重子與一個現在的科技尚不能觀察到的反暗重子，這程序假定在大爆炸核合成開始前的早期宇宙中，曾存在有一種高質量且長壽的標量粒子 $\Phi $ 子， $\Phi $ 子實際的行為尚屬未知，但一般假定說在熱力學不平衡的條件下，這粒子會衰變成底夸克與反夸克，因此這滿足薩哈羅夫要件；而這些底夸克構成 B 介子，並馬上發生強子化，進入震盪 CP 破壞態 $B_{s}^{0}-{\bar {B}}_{s}^{0}$ ，因此這滿足了另一個薩哈羅夫要件；之後這些震盪介子衰變成上述的重子與反暗重子對，其方程式為 $B\rightarrow \psi {\mathcal {B}}{\mathcal {M}}$ ，其中 $B$ 是作為母體的 B 介子， $\psi $ 是反暗重子，而 ${\mathcal {B}}$ 則是普通重子，而 ${\mathcal {M}}$ 則是在這粒子衰變過程中，滿足其他守恆律且質量較輕的額外介子。若這過程發生的夠快，那 CP 破壞效果就會在暗物質部份上延續；然而這樣違背薩哈羅夫要件中至少最後一條（或至少對之構成挑戰），因為在可見宇宙中的物質偏好，受到在暗物質中的新的反物質偏好所平衡，而這使得總重子數守恆。
B 介子生成會導致衰變過程初始狀態與最終狀態間的能量缺失，若這現象確實受到紀錄，就可為暗物質提供一個實證解釋，諸如貝爾實驗跟 BaBar 實驗等裝置了 B 介子工廠的粒子實驗室對 B 介子衰變極為敏感，且目前有能力偵測到 B 介子透過 $B\rightarrow \psi {\mathcal {B}}{\mathcal {M}}$ 這條管道的衰變；此外，大型強子對撞機也有能力探索這類的衰變，而這是因為大型強子對撞機能夠產生多於貝爾實驗跟 BaBar 實驗幾個數量級的 B 介子所致；然而，大型強子對撞機在加速器中控制 B 介子的初始能量的方面也面臨著更多的挑戰。
## 參見
* 阿弗萊克 - 戴恩機制
* 人擇原理
* 大爆炸
* 宇宙年表
* CP 破壞
* 輕子生成
* 輕子
## 參考資料
### 文章
### 教科書 | [
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弦論歷史 | **弦論**是將結合量子力學和廣義相對論成萬有理論的理論物理學。
弦論已得到數十年的深入研究，在歷史上出現了兩次超弦革命。在眾多研究人員共同努力下，弦理論早已與量子引力、粒子物理和凝聚態物理、宇宙學和純數學融匯貫通，發展成了一個廣泛多樣的學科。
## S 矩陣理論
維爾納・海森堡 1943 年一項研究計劃說弦理論是 S - 矩陣理論的產物。
約翰・惠勒於 1937 年引入 S 矩陣後，從 1950 年後期到 60 年代，許多著名的理論家都接受並提倡。但該領域在 70 年代中期被邊緣化並被丟棄 並在 80 年代被量子色動力學取代了。
1943 年，維爾納・海森堡提出了 S 矩陣理論作為粒子相互作用的原理。
## 雷格理論
1950 年代後期，不同人各自發現了存在許多自旋更高的強相互作用粒子，這很明顯非基本粒子。
## 雙共振模型
由加布里埃萊・韋內齊亞諾義大利弦論先驅於 1968 年建構。
## 玻色弦理論和超弦理論
### 玻色弦理論
1974 年，約翰・席瓦茲和若埃爾・捨克、米谷民明先驅建構。
他們研究了玻色子弦振動，發現特性與引力子匹配。這導致了玻色子弦理論的發展。
弦理論是根據泊里雅科夫作用量描述弦如何在空間和時間中移動。像彈簧一樣，弦往往會收縮以最小化其勢能，但能量守恆會阻止它們消失而振盪。通過將量子力學應用於弦，可以推斷出弦不同振動模式，每個振動狀態又皆是不同粒子。每粒粒子的質量，以及相互作用的方式，都是由弦的振動方式決定。
## 第一次超弦革命
## 第二次超弦革命
1990 年代，受對偶性的啓發，愛德華・維頓造了個 11 維的 M 理論，把 5 種版本的 10 維超弦理論與 11 維超重力論推演成 M 理論的 6 個形。這些發現帶動了第二次超弦革命有數百篇論文出現。
## 千禧年
## 參考
* Rickles, Dean. A Brief History of String Theory: From Dual Models to M-Theory. Springer. 2014. ISBN 978-3-642-45128-7.
## 進一步閱讀
* Paul Frampton. Dual Resonance Models. Frontiers in Physics, W. A. Benjamin. 1974. ISBN 978-0-8053-2581-2. | [
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弦論歷史 | * Joel A. Shapiro. Reminiscence on the Birth of String Theory. 2007. arXiv:0711.3448 [hep-th].
* John H. Schwarz. The Early History of String Theory and Supersymmetry. 2012. arXiv:1201.0981 [physics.hist-ph].
* Andrea Cappelli; Elena Castellani; Filippo Colomo; Paolo Di Vecchia. The Birth of String Theory. Cambridge University Press. 2012. ISBN 978-0-521-19790-8. | [
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] |
编程宇宙 | **編程宇宙**（Programming the Universe: A Quantum Computer Scientist Takes On the Cosmos）是麻省理工學院機械工程教授塞斯・勞埃德於 2006 年出版的一本科普書籍。作者在該書裡面把宇宙視為一台量子計算機（超級計算機），並且認為熵也會在信息領域出現。
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Plasmonics | **電漿激元**或**奈米電漿激元**是指沿奈米尺度的金屬 - 電介質界面產生、檢測和操縱光頻率的信號。 電漿激元順應了光學器件小型化的趨勢，並可應用於傳感、顯微鏡、光通信和生物光子學中。
## 原理
電漿體激元通常利用的表面電漿體激元 (SPPs) ，它是金屬表面電子在外界電磁場作用下產生集體振盪的現象。 SPP 模式強烈地受限在它們的支持界面，特別是金屬中的電子氣體隨電磁波振盪。由於移動中電子被散射，電漿體信號通常有較大的歐姆損耗，這導致了信號傳輸距離被限制在亞厘米範圍內 。除了 SPP，由金屬奈米顆粒支持的局部表面電漿體模式被稱為電漿體模式。這兩種模式的共同特點是動量值大，這使得光子態的局部密度得到強烈的共振增強， 可以用來增強光電器件的弱光學效應。
## 前景和挑戰
人們正致力於結合電漿體與電路、在電路模擬中結合電子的尺寸效率和積體光學的數據承載力。隨著用於電路的 CMOS 節點的柵極長度不斷減少、傳統 PIC 的尺寸受到衍射的限制，從而限制了電路的進一步集成。電漿激元可以彌補這種電路和光學器件上的不匹配。同時，光子學和電漿學可以相互補充，因為在適當的條件下，光信號可以轉換為 SPP，反之亦然。
阻礙電漿電路可行的最大問題之一是表面電漿的傳播長度短。通常情況下，表面電漿在阻尼信號衰減之前的傳播距離只有幾毫米。這主要是由於歐姆損失，電場越深入金屬歐姆損失就越嚴重。研究人員正試圖通過研究各種材料、幾何形狀、頻率和它們各自的特性來減少表面電漿體傳播的損失。新期望的低損耗電漿體材料包括金屬氧化物和氮化物以及石墨烯。更多設計自由度的關鍵是改進的製造技術，通過減少材料表面粗糙度進一步降低損失。
另一個可以預見的障礙是電漿電路的發熱；電漿電路中的熱量可能會或可能不會超過複雜電子電路產生的熱量。最近有人提出通過設計支持受困的光學渦流來減少電漿體網絡中的發熱，這些渦流使光功率流在粒子間的間隙中循環，從而減少吸收和歐姆發熱。除了發熱，在不大幅減少幅度和傳播長度的情況下，也很難改變電路中電漿體信號的方向。對於彎曲傳播方向的問題，一個聰明的解決方案是使用布拉格反射鏡來調整信號在特定方向上的角度，甚至用作信號的分離器。最後，電漿學在熱發射操縱和熱輔助磁記錄方面的新興應用，利用金屬中的歐姆損耗來獲得具有新的增強功能的設備。
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Plasmonics | 最佳的質子波導設計力爭最大化表面質子在質子電路中的限制和傳播長度。表面電漿體極子的特點是一個複雜的波矢、有平行於和垂直於金屬 - 介質界面的分量。波向量分量的虛部與 SPP 的傳播長度成反比，其實部定義了 SPP 的約束。SPP 的色散特性取決於組成波導的材料的介電常數。表面電漿體極子波的傳播長度和限制是成反比的。因此，更強的模式限制通常會導致更短的傳播長度。一個實際可用的表面電漿體電路的構建在很大程度上取決於傳播和限制之間的妥協。最大化限制和傳播長度有助於減輕選擇傳播長度而不是限制的缺點，反之亦然。為了追求具有強封閉性和足夠傳播長度的電漿體電路，已經有多種類型的波導，一些最常見的類型包括絕緣體 - 金屬 - 絕緣體（IMI）、金屬 - 絕緣體 - 金屬（MIM）、介質負載表面電漿體（DLSPP）、間隙電漿體（GPP）、通道電漿體（CPP）、楔形表面電漿體（wedge）以及混合光 - 電漿體波導和網絡。伴隨著 SPP 在金屬中傳播的耗散損失可以通過增益放大或將其與光纖和耦合共振器波導等光子元件組合成混合網絡來緩解。這種設計可以產生前面提到的混合電漿體波導，它在光的衍射極限的十分之一的範圍內表現出亞波長模式，同時還有可接受的傳播長度。
電漿體電路的輸入和輸出埠將分別接收和發送光信號。為此，光信號與表面電漿體的耦合和去耦合是必要的。 表面電漿體的色散關係完全低於光的色散關係，這意味著要發生耦合，輸入耦合器應提供額外的動量，以實現入射光與電漿體電路中發射的表面電漿體激元波之間的動量守恆。對此有幾種解決方案，包括在金屬表面使用介電稜鏡、光柵或局部散射元件，通過匹配入射光的動量和表面電漿體來幫助誘導耦合。 在創建表面電漿體並將其發送到目的地後，它可以轉換為電信號。這可以通過在金屬平面中使用光電探測器來實現，或者將表面電漿體解耦為自由傳播的光，然後可以將其轉換為電信號。 或者，可以將信號輸出耦合到光纖或波導的傳播模式中。
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Plasmonics | 在過去的 50 年裡，表面電漿所取得的進展導致了各種類型的裝置的發展，包括有源和無源裝置。有源器件中最突出的幾個領域是光學、熱光學和電光學。全光器件在用作調製器時已表現出成為信息處理、通信和數據存儲的可行來源的能力。例如，通過硒化鎘量子點將兩束不同波長的光轉換為共同傳播的表面電漿，展示了兩束光的相互作用。電光設備在調製器的形式上也結合了光學和電學設備的各個方面。具體來說，電光調製器已經被設計成依靠長程表面電漿（LRSP），使用蒸發耦合的諧振金屬光柵和奈米線。同樣，熱光學裝置，其中包含一種介質材料，其折射率隨著溫度的變化而變化，除了定向耦合器開關外，也被用作 SPP 信號的干涉調製器。一些熱光學裝置已被證明是利用沿金條的 LRSP 波導，這些金條被嵌入聚合物中並被電信號加熱，作為調製和定向耦合器開關的一種手段。另一個潛在的領域是在奈米級光刻、探測和顯微鏡等領域中使用 spasers。
## 無源設備
有源元件在電漿體電路的使用中發揮著重要作用，無源電路同樣不可或缺，而且製作困難。許多無源元件（例如稜鏡、透鏡和分束器）可以在電漿體電路中實現，但奈米級的製造被證明不僅困難而且會產生不利的影響。在使用具有不同折射率的折射元件時，由於去耦可能會發生明顯的功率損失。一些步驟已被採取來最小化損失並最大化光子組件的緊湊性。一個這樣的步驟依賴於使用布拉格反射器或一系列平面組成的鏡子來控制表面電漿體束。優化後，布拉格反射器可以反射近 100% 的輸入功率。 另一種用於製造緊湊型光子組件的方法依賴於 CPP 波導，因為它們在電信波長內顯示出強大的封閉性且有可接受的損失（小於 3dB）。 在使用無源器件和有源器件方面最大化損耗和緊湊性，為電漿體電路的使用創造了更多潛力。
## 另見
* 奈米光子學
* 超材料
* 表面電漿體
* 電漿體學：在奈米尺度上融合光子學和電子學
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转位机械臂 | **轉位機械臂**是一些太空站艙段上所搭載的一種專門用於輔助太空站上的太空飛行器或艙段進行對接機位轉移的特殊機械臂。在和平號太空站和天宮太空站上均有相關的對接輔助設備以支持艙段轉位。
## 應用
### 和平號太空站
**「爪」式機械臂**或 **「拉帕」機械臂**（The Lyappa (Ljappa) arm），正式名稱為「**自動再對接系統**」（俄語：Автоматическая система перестыковки (АСПр)，羅馬化：_Avtomaticheskaya sistema perestykovki (ASPr)_）是和平號太空站在其建造組裝階段中所使用的一種轉位機械臂。和平號太空站的量子 2 號、晶體號、光譜號以及自然號均搭載該臂以輔助轉位過程。一般來說，在艙段對接至核心艙上的前端對接口之後，機械臂在轉位中便會抓住設置在節點艙艙外上的兩個固定裝置之一，然後通過連接至原搭載艙段的另一端抬起該艙段，使其可以旋轉 90 度以對接至其他四個徑向對接埠之一。
#### 詞源
俄語中並不存在拉帕（Lyappa）這個詞。但它很可能就是「俄語：лапа，羅馬化：_lapa_，直譯：爪」一詞的某種衍生。
> 該操作中的一個全新元素便是再對接機械臂。有時我們直接稱它為「爪」，這樣會更清楚。這種電動機械臂短而有力，酷似西伯利亞熊的爪子，因此而得名。
>
>
#### 圖集
* * * *
### 天宮太空站
天宮太空站的問天和夢天實驗艙計劃也將攜帶類似和平號太空站上使用的轉位機械臂，以便其能夠在天和核心艙的節點艙周圍進行機動轉移。該臂在外觀上與 Lyappa 機械臂類似，但與 Lyappa 機械臂不同的是，天宮太空站上的轉位機械臂只能在同一個軸面上進行對接轉位。除兩個實驗艙上所搭載的轉位機械臂之外，天和核心艙上的主機械臂在必要時也可以作為備份使用。
## 參考資料
### 參考文獻
* Сыромятников, Владимир. 100 рассказов о стыковке. Часть 2. М.: Университетская книга Логос. 2010. ISBN 978-5-98704-455-1 （俄語）. | [
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百度量子计算研究所 | **百度量子計算研究所**是百度公司百度研究院旗下的研究所，成立於 2018 年 3 月 8 日，現任所長是段潤堯，該所主要從事量子計算軟體、硬體和資訊科技應用業務的研究工作。
## 研究團隊
百度量子計算研究所的所長由段潤堯擔任，段潤堯本科和博士均畢業於清華大學電腦系，曾任雪梨科技大學量子軟體和資訊中心創辦主任，該研究院另聘有牛津大學數學系量子物理學教授 Artur Konrad Ekert 擔任百度研究院顧問委員會委員。該所核心團隊成員中，有 80% 以上擁有博士學歷，分別來自劍橋大學、香港大學、清華大學、北京大學等高校。
## 研究領域
量子演算法、量子人工智慧、量子體系架構、量子糾錯、超導量子計算、量子晶片設計等。
## 產品
* 量脈（QUANISE）：基於雲服務的量子控制平台、量子脈衝控制系統，發布於 2019 年 7 月 3 日。
* 量槳（Paddle Quantum）：量子機器學習開發工具、量子機器學習的深度學習平台，發布於 2020 年 5 月 20 日。
* 量易伏（QUANTUM LEAF）：開源開放的量子計算平台，發布於 2020 年 9 月 15 日。
* 百度量子平台 2.0：可提供從應用到量子處理器一站式服務的量子計算雲平台，發布於 2021 年 12 月 28 日。
* 乾始超導量子電腦：集量子硬體、量子軟體平台、量子應用於一體的產業級超導量子電腦，使用者可在手機、平板電腦、桌上型電腦等多終端裝置上存取乾始超導量子電腦，發布於 2022 年 8 月 25 日。
* 量羲：全平台量子計算軟硬一體化方案，可提供私有化部署、雲服務、硬體接入等一系列服務，推出於 2022 年 8 月 25 日。
## 參考資料
## 外部連結
* 百度量子計算研究所 （頁面存檔備份，存於網際網路檔案館） | [
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] |
项国勇 | **項國勇**（1977 年 5 月 —），男，安徽人，中國科學技術大學教授，主要從事量子信息的理論與實驗研究。
## 生平
2000 年 6 月畢業於安徽師範大學物理教育專業獲學士學位，同年考取中國科學技術大學光學研究生，於 2005 年獲博士學位，師從郭光燦院士。2005 年 7 月至 2007 年 7 月，在中國科學技術大學量子信息重點實驗室做博士後。2007 年 11 月至 2010 年 7 月，在澳大利亞格里菲斯大學量子動力學中心從事博士後研究。2010 年 9 月回國任中國科學技術大學量子信息重點實驗室副教授，2012 年 10 月晉升教授。
主要從事量子信息以及量子測量方面的理論和實驗研究工作，在 Nature Communications、Nature Photonics、Science Advances、Physical Review Letters 等國際期刊發表研究論文 70 餘篇。主持國家自然科學基金青年項目、面上項目等科研項目多項，2012 年獲國家自然科學基金優秀青年基金資助，2021 年入選國家高層次人才特殊支持計劃科技領軍人才。
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楊朝偉 | **楊朝偉**（1967 年 5 月 16 日 —），中國國民黨桃園市政治人物，現任桃園市議員，曾任桃園縣議員、中國國民黨黃國園黨部副主委等職。
## 家庭背景
1967 年 5 月 16 日，楊朝偉出生於桃園縣楊梅鎮（今桃園市楊梅區）的眷村，父親為中華民國國軍軍官，其父民國 38 年大陸淪陷後，參加雲南反共救國軍持續為收復故土做努力，直至民國 43 年在蔣中正總統指示下才隨部隊從泰北返台，因父親職業因素，必須隨部隊遷移，楊家三姊弟分別出生在台灣不同縣市，楊家姐姐生在嘉義梅山，楊朝偉生在桃園楊梅，楊家弟弟生在台中后里。
其父在三姊弟成長過程中，考量子女教育離開野戰部隊，轉調至桃園化學兵學校任職，楊朝偉一家舉家搬遷到桃園市大溪區僑愛新村，在眷村長大的楊朝偉因此對國民黨具有認同感，讓他之後選擇披上藍袍參選議員。
## 從政歷程
### 參選議員
楊朝偉的政治生涯是從參選第 15 屆大溪鎮民代表開始，在他 30 歲時，又獲中國國民黨提名參選第 14 屆桃園縣議員 (大溪鎮、復興鄉選區)，並且首度參選就獲勝。
楊朝偉自第 14 屆桃園縣議員開始，一共連任包含桃園縣改制桃園市後第 1 屆在內的 5 屆議員，直至在桃園市第 2 屆市議員選舉中，因為選區人口減少造成當選名額縮減，楊朝偉才中斷議員當選的連霸紀錄。不過儘管落選，楊朝偉獲得的選票還是比他上一屆當選時獲得的票數還多出四千六百多票。
### 參選立委
2019 年楊朝偉曾登記參與國民黨在桃園市第六選區（八德、大溪、復興、中壢十二里）立法委員初選，惟 2019 年 4 月國民黨桃園市黨部宣布經「協調民調」，由立委陳學聖出線。
### 東山再起
2022 年，楊朝偉轉換選區代表國民黨投入桃園市八德區的市議員選舉，他在一度不被看好的激烈戰局中，最終開出 11,571 票的亮麗成績，帶著選區第三高票的殊榮重返桃園市議會，與從龍潭區轉戰中壢區的魏筠成為本次桃園選舉轉換選區還當選候選人。
## 佚事
楊朝偉外貌俊俏且樂於在個人臉書粉專分享問政、生活照片，未料屢被跨國冒用、盜圖，詐騙者打著交友、投資名義，向熟齡女子搭訕，且都用英文名字，有自稱移民加拿大、住在奧斯陸，駐軍阿富汗當指揮官，在中南美洲開挖石油。2021 年 5 月，楊朝偉在臉書自清「照片常被盜用，非常無奈，請網友們多加注意小心受騙，本人不會在社群上，有任何私下金錢及交友方面的互動，我住在台灣，沒有在國外當兵，也沒有在國外工作，請多加留意喔！」 | [
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] |
楊朝偉 | ## 選舉紀錄
### 2014 年中華民國直轄市議員及縣市議員選舉
#### 桃園市第六選舉區（大溪區、復興區）
* 應選出名額：3 席
* 選舉人數：69,244
* 投票數（投票率）：45,274（65.38%）
* 有效票（比率）：44,448（98.18%），無效票（比率）：826（1.82%）
### 2018 年中華民國直轄市議員及縣市議員選舉
#### 桃園市第六選舉區（大溪區、復興區）
* 應選出名額：2 席
* 選舉人數：73,546
* 投票數（投票率）：47,995（65.26%）
* 有效票（比率）：46,822（97.56%），無效票（比率）：1,173（2.44%）
### 2022 年中華民國直轄市議員及縣市議員選舉
#### 桃園市第三選舉區（八德區）
* 應選出名額：5 席 ，含婦女保障名額：1 席
* 選舉人數：162,085
* 投票數（投票率）：97,093（59.90%）
* 有效票（比率）：94,300（97.12%），無效票（比率）：2,793（2.88%）
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迈克尔·佩珀 | **麥可・佩珀**（FRS FREng ，英語：Michael Pepper，1942 年 8 月 10 日 —），英國物理學家，以研究半導體奈米結構知名。
## 早年經歷
佩珀於 1942 年 8 月 10 日出生，高中就讀於倫敦西敏市的聖馬里波恩文法學校，1963 年獲雷丁大學物理學理學士，之後留校攻讀研究生，1967 年獲哲學博士。1987 年，在劍橋大學任教的佩珀獲得文學碩士，之後獲得劍橋的理學博士。
## 科研生涯
在普利西公司研究實驗室工作的時候，麥可與 1977 年諾貝爾物理學獎得主內維爾・莫特合作。兩人的合作促使他於 1973 年在卡文迪許實驗室研究半導體結構。隨後加入奇異希斯特研究所，設立劍橋 - 奇異聯合計劃。1985 年，克勞斯・馮・克利青憑藉發行量子霍爾效應獲得諾貝爾物理學獎，佩珀是克利青論文三位作者之一。1984 年，佩珀在卡文迪許實驗室創立半導體物理研究小組。在擔任英國皇家學會沃倫研究員一段時間後，佩珀於 1987 年獲任命為物理學教授至今。1991 年，到新成立的東芝劍橋研究中心（現為東芝歐洲研究所劍橋研究實驗室）擔任常務董事。2001 年，獲任命為 TeraView 公司科學總監，該公司由劍橋研究實驗室的太赫茲研究機構獨立成立。2003 年擔任紐西蘭奧塔哥大學藥學名譽教授。2009 年離開劍橋大學，獲倫敦大學學院奈米電子學彭德教席，期間推動了半導體物理學及太赫茲輻射應用的發展。佩珀目前是 ARC 未來低能耗電子技術卓越中心科學顧問委員會成員。
## 榮譽
* 1982 年：劍橋大學三一學院研究員
* 1983 年：皇家學會會士
* 1985 年：歐洲物理學會歐洲物理學獎、英國物理學會格思里獎
* 1987 年：休斯獎章
* 2000 年：內維爾・莫特獎章
* 2004 年：皇家學會貝克里安榮譽講座
* 2005 年：皇家獎章
* 2009 年：英國皇家工程院院士
* 2010 年：斯旺獎章
* 2013 年：法拉第獎章
* 2019 年：艾薩克・牛頓獎章
## 研究領域
* 電流及電阻量子化現象
* 基本電荷測量
* 一維和零維電子現象
* 通用量子傳輸
* 局部化和金屬 - 絕緣體轉變
* 電子氣強相互作用性質
* 玻色–愛因斯坦凝聚的固態形式
* 磁性半導體混合結構
* 醫學物理
## 參見
* 量子霍爾效應
## 參考資料
## 外部連結
* 佩珀在東芝的研究 （頁面存檔備份，存於網際網路檔案館） | [
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迈克尔·佩珀 | * 半導體物理研究組主頁
* 佩珀出版物列表 （頁面存檔備份，存於網際網路檔案館）
* 東芝歐洲研究院 （頁面存檔備份，存於網際網路檔案館）
* 休斯獎章頒獎辭 （頁面存檔備份，存於網際網路檔案館）
* 佩珀履歷 （頁面存檔備份，存於網際網路檔案館） | [
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全球化史 | **全球化的歷史淵源**（也稱為歷史全球化）是一個不斷爭論的主題。儘管許多學者把全球化的起源放在現代（19 世紀左右），但也有人認為它是一種歷史悠久的現象，可以追溯到幾千年前（這一概念被稱為古全球化）。全球化歷史中大致橫跨 1600 年至 1800 年的時期又被稱為原始全球化。
## 古老的全球化
也許全球化的深刻歷史淵源的極端支持者是安德烈・岡德・法蘭克，一位與依附理論相關的經濟學家。 弗蘭克認為，自從公元前三千年蘇美爾與印度河流域文明之間的貿易聯繫興起以來，一種形式的全球化就已經存在。 這一觀點的批評者認為，它建立在對全球化過於寬泛的定義之上。
湯馬斯・佛里曼 將全球化的歷史分為三個時期：全球化 1.0（1492-1800）、全球化 2.0（1800-2000）和全球化 3.0（2000 - 至今）。 他指出，全球化 1.0 涉及國家的全球化，全球化 2.0 涉及公司的全球化，全球化 3.0 涉及個人的全球化。
甚至早在史前時期，就可以找到現代全球化的根源。 我們祖先向五大洲的領土擴張是建立全球化的關鍵組成部分。 農業的發展將世界上絕大多數人口轉變為穩定的生活方式，從而進一步推動了全球化。 然而，由於缺乏遠程互動和技術，全球化未能加速。 當代全球化進程可能發生在 19 世紀中葉左右，因為資本和勞動力流動性的增加以及運輸成本的降低導致世界變得更小。
一種早期形式的全球化經濟和文化，稱為古全球化，存在於希臘化時代，當時商業化的城市中心圍繞著希臘文化的軸心，從印度延伸到西班牙，如亞歷山大、雅典等城市，和安提阿在它的中心。貿易在那個時期很普遍，這是世界主義文化（來自希臘語「Cosmopolis」，意為「世界城市」）的概念第一次出現。其他人已經在羅馬帝國、帕提亞帝國和漢朝之間的貿易聯繫中看到了全球化的早期形式。這些大國之間日益緊密的商業聯繫激發了絲綢之路的發展，這條絲綢之路始於中國西部，到達帕提亞帝國的邊界，並繼續向羅馬前進。
伊斯蘭黃金時代也是全球化的重要早期階段，當時猶太和伊斯蘭經濟學史和中世紀伊斯蘭世界的地理和製圖在舊世界建立了持續的經濟，導致作物、貿易、知識和技術的全球化。在這一時期，全球重要的作物，如糖和棉花，在穆斯林世界得到廣泛種植，而學習阿拉伯語和完成朝覲的必要性創造了一種國際化的文化。 | [
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全球化史 | 蒙古帝國的出現雖然對中東和中國的商業中心造成了不穩定，但極大地促進了絲綢之路的旅行。這使得旅行者和傳教士如馬可波羅成功地（並且有利可圖地）從歐亞大陸的一端到另一端。 13 世紀的蒙古和平還有其他幾個顯著的全球化影響。它見證了第一個國際郵政服務的創建，以及鼠疫等流行病在中亞新統一的地區的迅速傳播。 這些全球或半球交換的前現代階段有時被稱為古老的全球化。然而，直到 16 世紀，即使是最大的國際交換系統也僅限於舊世界。
## 原始全球化
這個階段被稱為原始全球化。它的特點是歐洲海上帝國的崛起，在 15、16 和 17 世紀，首先是葡萄牙和西班牙帝國，後來是荷蘭和大英帝國。到了 17 世紀，全球化也成為了一種私人商業現象，英國東印度公司（成立於 1600 年）（通常被稱為第一家跨國公司）和荷蘭東印度公司（成立於 1602 年）等特許公司成立。
地理大發現時代帶來了全球化的廣泛變化，這是歐亞大陸和非洲與新大陸進行大量文化、物質和生物交流的第一個時期。它始於 15 世紀後期，當時伊比利亞半島的兩個王國 —— 葡萄牙和卡斯蒂利亞 —— 在好望角和美洲進行了第一次探索航行，克里斯多福・哥倫布於 1492 年「發現」。 16 世紀之交前不久，葡萄牙人開始建立從非洲到亞洲和巴西的貿易站（工廠） ，處理奴隸、黃金、香料和木材等當地產品的貿易，引入了一個由王室壟斷的國際商業中心，印度之家。
隨著歐洲對美洲的殖民開始哥倫布大交換 ，全球一體化繼續進行，植物、動物、食物、人口（包括奴隸）、傳染病和文化在東半球和西半球之間進行了廣泛廣泛的交流。這是歷史上涉及生態、農業和文化的最重要的全球事件之一。 16 世紀通過歐洲海員從美洲傳來的新作物對世界人口增長做出了重大貢獻。
## 現代全球化
19 世紀見證了全球化接近其現代形式的到來。工業化允許利用規模經濟廉價生產家居用品，而快速的人口增長創造了對商品的持續需求。這一時期的全球化是由 19 世紀的帝國主義決定性地塑造的。在第一次和第二次鴉片戰爭開啟了中國的對外貿易，以及英國完成對印度的征服之後，這些地區的廣大人口成為歐洲出口商品的現成消費者。正是在這一時期，撒哈拉以南非洲和太平洋島嶼地區被納入世界體系。與此同時，歐洲人對全球部分地區的征服，尤其是撒哈拉以南非洲地區，產生了橡膠、鑽石和煤炭等寶貴的自然資源，並有助於推動歐洲帝國列強、其殖民地和美國之間的貿易和投資。 | [
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全球化史 | > 倫敦的居民可以通過電話訂購，喝著他的早茶，全世界的各種產品，並有理由期待他們早日送到他家門口。 種族和文化競爭的軍國主義和帝國主義只不過是他的日報的娛樂。 在 1914 年 8 月結束的那個時代是人類經濟進步中一個多麼非凡的插曲。
>
>
19 世紀和 20 世紀的全球化之間存在顯著差異。 有兩個主要點可以看出差異。 一點是這個世紀以來的全球貿易以及資本、投資和經濟。
**全球貿易**
20 世紀的全球貿易表現出商業生產貿易比重上升、服務貿易增長以及跨國公司生產和貿易的興起。 與 19 世紀相比，20 世紀商品的生產大大減少。 然而，為商品貿易生產的商品數量卻在增長。 與 19 世紀相比，20 世紀的服務貿易也變得更加重要。 將 19 世紀的全球貿易與 20 世紀的全球貿易區分開來的最後一點是跨國合作的程度。 與 19 世紀相比，20 世紀可以看到跨國合作的「量子飛躍」。 20 世紀開始之前，只有證券投資，沒有貿易相關或生產相關的直接投資。
自上個世紀以來，商業一體化得到改善，阻礙貿易的壁壘降低，運輸成本降低。已經簽署了多國貿易合同和協議，如關稅與貿易總協定（GATT）、北美自由貿易協定（NAFTA），歐盟（EU）大力參與消除成員國之間的關稅，以及世界各國貿易組織。從 1890 年到第一次世界大戰之前，貿易不穩定一直是個問題，但在戰後時期，主要是經濟擴張導致了穩定。各國必須照顧好自己的產品；他們必須確保外國商品不會扼殺他們的國內產品，從而導致失業，甚至可能導致社會不穩定。技術變革降低了運輸成本；今天在各大洲之間運輸貨物只需要幾個小時，而不是 19 世紀的幾周甚至幾個月。
考慮到金融危機，一個關鍵的區別是貨幣制度。在 19 世紀，它發生在金本位制的固定匯率下。但在 20 世紀，它發生在一個有管理的靈活性的制度中。此外，在 19 世紀，各國發展了有效的最後貸款人，但在外圍國家並非如此，那裡的國家遭受了後果。一個世紀後，大多數新興國家都建立了國內安全網，銀行恐慌變成了政府接管無力償債的銀行系統的債務。從銀行業危機中復甦是另一個關鍵區別。與一百年前典型的危機事件相比，它在最近時期往往開始得更早。在 19 世紀，沒有可供新興經濟體使用的國際救援方案。但在最近一段時期，此類救援是全球金融格局的典型組成部分。 | [
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全球化史 | 流量信息是 19 世紀的一個重要缺點。在 跨大西洋電纜和無線電話出現之前，信息從一個地方傳送到另一個地方過去需要很長時間。因此，這意味著分析信息非常困難。例如，區分好的和壞的信用就不是那麼容易了。因此，信息不對稱在國際投資中發揮了非常重要的作用。鐵路債券就是一個很好的例子。還有很多承包問題。對於在海外工作的公司來說，管理他們在世界其他地區的業務是非常困難的，所以這顯然是一個很大的投資障礙。匯率風險、貨幣政策不確定等宏觀經濟因素也是國際投資的一大障礙。美國的會計準則在 19 世紀相對落後。英國投資者在將他們的會計實踐轉移到新興市場方面發揮了非常重要的作用.
## 第一次世界大戰的後果：全球化的崩潰
「現代全球化」的第一階段在 20 世紀初隨著第一次世界大戰開始崩潰，以歐洲為主導的網絡越來越多地面對「他者」的形象和故事，因此，他們自己承擔了責任。扮演世界普遍法律和道德的守護者的角色。種族主義和不平等的做法也成為他們從世界其他地區尋找材料和資源的做法的一部分。在 1914 年第一次世界大戰爆發之前的 1850 年開始之前，世界貿易的增長是對全球南方直接殖民統治基地的激勵。由於其他歐洲貨幣正在大量流通，因此擁有資源基礎的需求變得勢在必行。小說家 VM 葉茨批評全球化的金融力量是造成第一次世界大戰的一個因素。金融力量是造成第一次世界大戰的一個因素似乎要部分負責。這方面的一個例子是法國在 20 世紀對非洲大部分地區的殖民統治。第一次世界大戰爆發前，法國對非洲的戰爭沒有明確的目標，這使非洲人處於「迷失」的狀態。與經濟潛力不同的是，非洲的軍事潛力首先得到強調…… 至少一開始是這樣。法國對法屬非洲軍事潛力的興趣需要一段時間才能被接受。法國軍隊中的非洲人受到法國人的自卑感。至於殖民統治的經濟動機是在 1917 年，當時法國面臨糧食供應危機。這是在戰爭爆發之後發生的，自 1917 年法國出現肥料和機械短缺以來，法國沒有能力在農業上自給自足。
## 二戰後：全球化復甦 | [
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全球化史 | 二戰以來的全球化，部分是政客們計劃打破阻礙貿易的邊界的結果。他們的工作促成了布雷頓森林會議，世界主要政治家就制定國際商業和金融框架達成協議，並成立了幾個旨在監督全球化進程的國際機構。全球化還受到總部設在美國和歐洲的的全球擴跨國公司張以及全球範圍內科學、技術和產品新發展交流的推動，根據大英百科全書，當時最重要的發明都起源於西方世界。西方文化的全球輸出通過新的大眾媒體：電影、廣播和電視以及錄製的音樂。國際運輸和電信的發展壯大在現代全球化中發揮了決定性作用。這些機構包括國際復興開發銀行（ 世界銀行）和國際貨幣基金組織。技術進步促進了全球化，降低了貿易成本，以及貿易談判回合，最初是在關稅和貿易總協定（GATT）的主持下達成的一系列協議，以取消對自由貿易的限制。自二戰以來，國際貿易壁壘已通過國際協定（關貿總協定）大大降低。關貿總協定和以關貿總協定為基礎的世界貿易組織 (WTO) 實施的具體舉措包括：
* 促進自由貿易:
* 取消關稅； 建立低關稅或無關稅的自由貿易區自由貿易區
* 運輸成本降低，尤其是海運貨櫃化的發展
* 減少或取消資本管制
* 減少、取消或統一對當地企業的補貼
* 為全球企業創造補貼
* 協調大多數州的智慧財產權法，但有更多限制
* 對智慧財產權限制的超國家承認（例如，中國授予的專利將在美國得到承認）
由通信技術和西方文化產業的全球營銷驅動的文化全球化，起初被理解為同質化的過程，是美國文化以犧牲傳統多樣性為代價的全球統治。然而，一種對比趨勢很快變得明顯，抗議全球化的運動的出現，為捍衛地方獨特性、個性和身份提供了新的動力。
烏拉圭回合（1986 年至 1994 年）促成了一項條約，以創建 WTO 來調解貿易爭端並建立統一的貿易平台。其他雙邊和多邊貿易協定，包括歐洲馬斯特里赫條約和北美自由貿易協定 (NAFTA) 的部分內容也已簽署，以實現降低關稅和貿易壁壘的目標。
世界出口從 1970 年的 8.5% 上升到 2001 年占世界總生產總值的 16.2%。
在 1990 年代，低成本通信網絡的發展允許將使用計算機完成的工作轉移到許多工作類型的低工資地點。這包括會計、軟體開發和工程設計。
2000 年代後期，許多工業化國家陷入了深度衰退。一些分析人士說，經過多年的經濟一體化，世界正在經歷去全球化的時期。 中國最近已經超過德國成為世界第一大出口國。
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全球化史 | 一些作者認為，將全球化的開始時間拉長會使這個概念完全失效，對政治分析毫無用處。
## 另見
* 資本主義的歷史
* 世界歷史
* 軍事全球化
* 自 1989 年以來的國際關係
## 外部連結
* 國會圖書館的全球化史
* 全球化世界史快速指南
* 全球化簡史，TIME, 20 March 2006
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] |
量子拓扑 | **量子拓撲**（英語：Quantum topology）是連接量子力學與低維拓撲的數學分支。
狄拉克符號給出了量子力學的一種觀點，被推廣成為可以包含拓撲空間相關振幅和空間之間的相關嵌入的框架，例如三維空間中的結和結組。狄拉克符號對右矢和左矢的表示，可以被泛化成映射，表示與允許張量積的拓撲空間有關的向量空間。
涉及結組和辮群的拓撲拓撲糾纏也可以直觀地與量子糾纏連接起來。
## 參見
* 拓撲量子場論
* Reshetikhin–Turaev 不變量
## 參考資料
## 外部連結
* Quantum Topology （頁面存檔備份，存於網際網路檔案館） - EMS 出版社相關期刊（英文） | [
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] |
富利定理 | 在量子電動力學中，**富利定理**（英語：Furry's theorem）指出，在 QED 中包含有奇數個外線光子的費米子圈的貢獻為 0。該定理首先由溫德爾・福瑞在 1937 年推導出來。
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烏梅什·瓦茲拉尼 | **烏梅什・維爾庫馬爾・瓦茲拉尼**（英語：Umesh Virkumar Vazirani）是一位印度裔美國數學家和計算機科學家，是加利福尼亞大學柏克萊分校電機工程與計算機科學的羅傑・A・斯特勞赫教授，也是柏克萊量子計算中心的主任。他的研究興趣主要在於量子計算方面。他也是一本關於算法的教科書的共同作者。
## 生平
瓦茲拉尼於 1981 年在麻省理工學院獲得學士學位，1986 年在加利福尼亞大學柏克萊分校獲得博士學位，師從曼紐爾・布盧姆。
他和加利福尼亞大學爾灣分校教授維傑・瓦茲拉尼是兄弟。
## 研究工作
瓦茲拉尼是量子計算領域的創始人之一。他在 1993 年和他的學生伊森・伯恩斯坦（Ethan Bernstein）一起發表關於量子複雜性理論的論文，定義出一個量子圖靈機的模型，該模型適合於基於複雜性的分析。這篇論文還給出一個量子傅立葉變換的算法，之後被彼得・秀爾在一年內用於他著名的整數因子的量子算法。
他與查爾斯・H・本尼特、伊森・伯恩斯坦和吉勒斯・布拉薩德合作，表明量子計算機解決黑盒搜索問題的速度不能超過待搜索元素數量的 $O({\sqrt {N}})$ 。這一結果表明格羅弗算法是最優的，並表明量子計算機不能在多項式時間內僅使用證明人解決 NP 完全的問題。
## 獲獎和榮譽
2005 年，瓦茲拉尼和他的兄弟維傑・瓦茲拉尼獲選為計算機協會會士，烏梅什因其對理論計算機科學和量子計算的貢獻，維傑則因其在近似算法方面的成就而獲選為會士。2012 年，瓦茲拉尼因其在改善圖分離器和相關問題的逼近率方面的成就，與薩蒂什・拉奧和桑吉夫・阿羅拉共同獲得富爾克森獎。 2018 年，他獲選為美國國家科學院院士。
## 參考資料
## 外部連結
* Web page at UC Berkeley （頁面存檔備份，存於網際網路檔案館） | [
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呫吨-2-酚 | **呫噸 - 2 - 酚**是一種有機化合物，化學式為 C13H10O2，它是呫噸醇的同分異構體之一。
## 合成
呫噸 - 2 - 酚可以 2,5 - 二羥基苯甲醛和 2 - 環己烯酮為原料反應製得。反應的第一步先生成 4 - 羥基 - 2,3,4,4a - 四氫呫噸酮，第二步是用硼氫化鈉將其還原為 2,3,4,4a - 四氫呫噸 - 1,7 - 二酚，第三步是將得到的二酚和三氯化鐵六水合物研磨，再用乙酸乙酯萃取得到。
反應以三氟甲磺酸鈧為催化劑，在氯苯中於 180 °C 反應，可一步得到呫噸 - 2 - 酚。
在十鎢二釩磷酸的季銨鹽催化下，它也可由 30% 過氧化氫在乙腈 - 叔丁醇混合溶劑中氧化呫噸得到，副產物為少量的呫噸醇和呫噸酮。以一種吡啶亞胺螯合的鐵配合物為催化劑，得到的主產物則是呫噸酮。
## 反應
在碳量子點催化下，它可以被過氧化叔丁醇氧化為 2 - 羥基呫噸酮。在甲磺酸、四丁基氟硼酸銨存在下，於 1,2 - 二氯乙烷中通電，它和取代芳烴（如苯甲醚）反應，可以生成 9 - 芳基呫噸 - 2 - 酚。
## 參考文獻 | [
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] |
PQC | **PQC** 可以指：
* 後量子密碼學（Post-quantum cryptography）
* 富國國際機場（IATA：PQC）
* 質體醌 C（Plastoquinone C），CAS 號 11005-16-6 | [
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] |
N4O2 | **疊氮化硝醯**是一種不穩定的氮氧化物，化學式 N4O2。
## 製備
疊氮化硝醯是在 1973 年通過疊氮化鋰和氟硼酸硝醯在低溫下的乙腈或四氯化碳中的反應發現的。它也可以由氟銻酸硝醯和疊氮化鈉在−50 °C 及高壓下的液態二氧化碳反應而成。
## 性質
疊氮化硝醯極不穩定，無法分離。產物溶液的拉曼光譜與從頭計算的結果一致。它會通過環狀的中間體分解成笑氣。量子化學從頭計算表明這是強放熱反應，焓變−250 kJ・mol−1。
## 參考資料 | [
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米哈伊尔·别雷 | **米哈伊爾・烏里揚諾維奇・別雷**（俄語：Михаи́л Улья́нович Бе́лый，烏克蘭語：Михайло Улянович Білий，1922 年 11 月 12 日 —2001 年 8 月 5 日），烏克蘭人，蘇聯科學家，黨和國家領導人，理學博士，教授。曾任基輔大學物理系、光學系主任，基輔大學校長，烏克蘭蘇維埃社會主義共和國最高蘇維埃主席等職務。
## 生平
* 1922 年 11 月 12 日出生於切爾尼戈夫省莫斯卡利村的一個農民家庭。
* 1940 年 - 1945 年，蘇聯紅軍服役，參加衛國戰爭。在戰爭中曾受重傷。
* 1945 年 - 1948 年，基輔大學物理系學習。
* 1948 年 - 1951 年，基輔大學研究生院學習。1951 年加入聯共（布）。
* 1951 年 - 1962 年，基輔大學物理系講師，高級講師，副教授。1956 年獲理學博士候選人資格和副教授職稱。
* 1962 年 - 1970 年，基輔大學理學院院長。1964 年獲理學博士學位。1965 年獲教授職稱。1969 年當選烏克蘭蘇維埃社會主義共和國科學院通訊院士。
* 1963 年 - 1993 年，基輔大學物理系，光學系主任。
期間：
1970 年 - 1985 年，基輔大學校長。
1972 年 6 月 - 1980 年 3 月，烏克蘭蘇維埃社會主義共和國最高蘇維埃主席。
* 1993 年起退休。
* 2001 年 8 月 5 日於基輔逝世，享年 78 歲。葬於拜科夫公墓。
別雷是蘇共 24-25 大代表；第 8-10 屆烏克蘭蘇維埃社會主義共和國最高蘇維埃代表。
## 功績
作為科學家，別雷開發了一種對配合物（電解質溶液中的重金屬離子）組成進行分光光度研究的獨創方法，以及一種將電解質溶液轉化為玻璃態的技術，這使得在許多活化的溶液中發現發光成為可能 通過重金屬離子，並開發高靈敏度的發光分析方法。 創建了一個科學學校來研究由重金屬激活的溶液和晶體的光譜和發光特性。
別雷開創了新的有效的發光實驗研究方法。證明了中心類汞離子與鹵離子之間存在一種新型化學鍵。研究了強雷射輻射與活化介質的非線性相互作用過程。針對多種溶液和玻璃，建立和研究了誘導吸收、發光的光猝滅、雙光子發光，並研究了研究對象在量子電子學中的應用可能性。合成了記錄信息的新材料。 | [
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] |
米哈伊尔·别雷 | 他創建了一個基礎實驗室。在他的領導下開展了金屬光學領域的重點科學研究。重點研究非晶態金屬的光學性質和金屬表層二次諧波的產生過程。
別雷致力於研究毫米範圍的電磁輻射對人體的影響。在他創建的「早期醫學診斷的物理方法」實驗室中，進行了非熱強度毫米範圍內的電磁輻射對人體功能狀態的選擇性影響的研究。實驗證明了電磁場對單個器官疾病進程的選擇性影響的存在。今天，這種方法被廣泛用於許多嚴重疾病的治療和診斷。
別雷教授是一種新的無藥物治療方法的合著者，該方法正在人們的生活中實施，稱為「微波共振療法」。對腦癱、胃潰瘍等疾病的治療有效率達 80-90%。
別雷擁有三十多項發明專利並發表了 350 多篇科學論文。
## 榮譽
* 列寧勳章
* 一級衛國戰爭勳章
* 二級衛國戰爭勳章
* 勞動紅旗勳章
* 各民族人民友誼勳章
* 榮譽勳章
* 烏克蘭五級智者雅羅斯拉夫王子勳章
* 烏克蘭蘇維埃社會主義共和國榮譽科技工作者稱號（1972）
* 德布勒森大學、萊比錫大學榮譽博士
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QM/MM | 混合 **QM/MM** （量子力學 / 分子力學）方法是一種分子模擬方法，它結合了從頭計算法（準確性）和 分子力學（速度）方法的優勢，從而可以研究溶液和蛋白質中的化學過程. QM/MM 方法是在阿里耶・瓦謝爾和麥可・萊維特的 1976 年論文中引入的。 他們與 Martin Karplus 一起因「為複雜化學系統開發多尺度模型」而獲得 2013 年諾貝爾化學獎。
## 效率
QM/MM 方法的一個重要優勢是它們的計算速度。在通常情況下，進行經典分子力學 (MM) 模擬的計算複雜度為 _O_ ( _N_ 2 )，其中 _N_ 是系統中的原子數。主要由於靜電相互作用項的複雜度為 _O_ ( _N_ 2 )（每個粒子都與其他粒子相互作用）。然而，在使用截止半徑、周期性對列表更新以及最近粒子網格 Ewald (PME) 方法的變化後，已將其減少到 _O_ ( _N_ ) 到 _O_ ( _N_ 2 ) 之間。另一方面，最簡單的_從頭算_計算形式化地縮放為 _O_ ( _N_ 3 ) 或更糟（限制性哈特里－福克方程計算被認為具有大約 _O_ ( _N_ 2.7 ) 的複雜度）。此外在從頭計算法中， _N_ 代表使用的基函數的數量而不是原子的數量。每個原子至少會具有與電子數量一樣多的基函數。為了克服從頭計算法的效率局限性，QM/MM 方法對研究系統的一小部分進行了量子力學處理（例如，酶的活性位點），其餘系統則進行了經典處理。
## 計算組合系統的總能量
組合系統的總能量可以用兩種不同的方式計算。最簡單的稱為「減法方案」，由 Maseras 和 Morokuma 於 1995 年提出。在減法方案中，首先使用分子力學力場 (MM) 計算整個系統的能量，然後加上 QM 系統的能量（使用量子力學方法計算），最後減去 QM 系統的 MM 能量。
$$
E=E^{QM}(QM)+E^{MM}(QM+MM)-E^{MM}(QM)
$$
在這個等式中 $E^{MM}(QM)$ 是指使用分子力學計算（MM）的 QM 區域的能量。在這個方案中，兩個區域之間的相互作用將只在 MM 的理論水平上被計算。
在實際應用中，更廣泛使用的方法是更準確的「加法方案」。這個等式由 3 項組成：
$$
E=E(QM)+E(MM)+E(QM/MM)
$$ | [
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QM/MM | 在方程中 $E(QM)$ 是 QM 區域的 QM 能量， $E(MM)$ 是 MM 區域的 MM 能量， $E(QM/MM)$ 是兩個系統之間的相互作用能，可由下式給出：
$$
E(QM/MM)=\sum _{I'=1}^{MM}\left[\int \operatorname {d} \mathbf {r} {q_{I'}\rho (\mathbf {r} ) \over \left\vert \mathbf {R} _{I'}-\mathbf {r} \right\vert }+\sum _{I=1}^{QM}{\frac {q_{I'}q_{I}}{\left\vert \mathbf {R} _{I'}-\mathbf {R} _{I}\right\vert }}\right]+\sum _{\text{non-bonded pairs}}\left({\frac {A_{II'}}{R_{II'}^{12}}}-{\frac {B_{II'}}{R_{II'}^{6}}}\right)+\sum _{\text{bonds}}k_{r}(R_{II'}-r_{0})^{2}+\sum _{\text{angles}}k_{\theta }(\theta -\theta _{0})^{2}+\sum _{\text{torsions}}\sum _{n}k_{\phi ,n}[\cos(n\phi +\delta _{n})+1]
$$
指標 $I$ 標記 QM 區域中的原子核，而 $I'$ 標記 MM 區域的原子核。前兩項表示 QM 區域中的總電荷密度（來源電子和核心）與 MM 區域的經典電荷之間的相互作用。第三項解釋了 QM/MM 邊界上的色散相互作用。任何跨越邊界的共價鍵的伸縮勢均由第四項計算。最後兩項則描述了任何跨越邊界的共價鍵彎曲和扭轉勢能產生的的能量。其中跨院邊界被定義為：共價鍵彎曲和扭轉定義的原子中至少有一個原子 $\theta $ 或者 $\phi $ 是一個 QM 原子，而其他的是 MM 原子。
### 降低計算 QM-MM 相互作用的計算成本 | [
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QM/MM | 考慮到先前給出的 QM/MM 相互作用方程中的電荷 - 電荷項在計算上可能非常昂貴（一個具有 10 6 個 QM 系統電子密度網格點和 10 4 MM 原子的系統所需的積分次數是巨大的）。解決此問題的一種方法是在 QM 區域周圍構建三個同心球體，並評估 MM 原子位於這些球體中的哪一個。如果 MM 原子位於最內層的球體中，則它們與 QM 系統的相互作用才按照 $E(QM/MM)$ 進行處理。位於第二個球體（但不是第一個）內的 MM 電荷通過一種構造電荷與 QM 區域中的 QM 原子核相互作用。這種構造電荷可以由一種模擬電子密度的 RESP 方法計算。通過使用這種方法，模擬過程中 QM 原子核上不斷變化的電荷可以被描述。
在第三個最外層區域，經典電荷與 QM 區域的多極矩相互作用。通過使用這種更加近似的方法計算電荷 - 電荷相互作用，可以獲得非常顯著的計算成本降低，同時不會遭受精度的顯著損失。
## QM-MM 的靜電相互作用
QM 和 MM 區域之間的靜電相互作用可以以不同的複雜程度來考慮。這些方法可分為機械嵌入、靜電嵌入或極化嵌入。
### 分子力學嵌入
分子力學嵌入僅在 MM 級別考慮靜電相互作用，儘管比其他方法更簡單，但可能會出現某些困難。部分原因是由於很難選取適當的 MM 屬性（例如原子電荷），使得其對 QM 區域的相互作用被恰當描述。被模擬的 QM 區域通常描述了化學反應發生的位點，因此如果僅使用一組 MM 靜電參數來描述電荷分布，由於在反應過程中電荷分布可能會發生變化，將會對經典相互作用的計算導致很大的誤差。另一個問題是分子力學嵌入不考慮與 MM 系統的靜電相互作用對 QM 系統電子結構的影響。
### 靜電嵌入
靜電嵌入不需要 QM 區域的 MM 靜電參數。這是由於它使用在 QM 區域的某些包含電子項的哈密頓量來考慮靜電相互作用。這也意味著靜電嵌入可以處理 由靜電相互作用引起的 MM 區域對 QM 系統的極化。儘管靜電嵌入對分子力學嵌入方案進行了改進，但代價是增加了複雜性，因此需要更多的計算量。另一個問題是它忽略了 QM 系統對 MM 系統的影響，而實際上這兩個系統會相互極化，直到達到平衡。
為了構造 MM 區域所需的單電子項，可以使用 MM 計算中使用的偏電荷。這是構建 QM 哈密頓量最流行的方法，儘管它可能並不適合所有系統。
### 極化嵌入 | [
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QM/MM | 靜電嵌入包含了 MM 系統對 QM 系統的極化，但是忽略了 QM 系統對 MM 系統的極化。而極化嵌入也包含了 QM 對 MM 系統的極化。極化嵌入模型允許可變的 MM 電荷，分為兩類處理方法。在第一類中，MM 區域被 QM 電場極化，但不會反作用於 QM 系統。第二類是完全自洽的方法，允許 QM 和 MM 系統之間的相互極化作用。極化嵌入方案一般不應用於生物分子模擬，一般僅限於顯式溶劑化模型：溶質將被視為 QM 系統，而溶劑將被視為可極化分子力場。
## QM/MM 存在的問題
儘管 QM/MM 方法通常非常有效，但處理起來仍然相當棘手。研究人員必須限制 QM 模擬的區域（原子位點），但允許粒子在 QM 和 MM 區域之間移動的研究已經存在。 移動限制邊界不僅會影響計算的時間，也會改變計算的結果。 QM 和 MM 系統的耦合方式可能有很大差異，具體取決於系統中粒子的分布以及它們在時間上與平衡位置的位移。通常，耦合設置在碳 - 碳鍵上，並避免在與帶電基團相鄰的區域中設置，因為其電荷限制的設置會顯著影響模型的質量。
## 跨 QM-MM 邊界的共價鍵
直接連接的兩個原子，其中一個用 QM 描述，另一個用 MM 描述，稱為結原子。儘管 QM 區域和 MM 區域之間的邊界通過共價鍵連接可能會產生問題，但這在應用中是不可避免的。當確實需要如此做時，QM 區域的原子的鍵必須被封端，防止在 QM 系統中出現懸空鍵。
### 邊界處理
當 QM/MM 邊界切斷共價鍵時，必須處理三個問題。首先，QM 系統的懸空鍵必須被封端，這是因為截斷的 QM 系統是不合理的（懸空鍵會導致 QM 系統得到不合理的結果）。第二個問題與極化有關：對於靜電或極化嵌入，必須要確保邊界附近的 MM 電荷的的過度靠近不會導致 QM 密度的過度極化。最後一個問題是必須仔細處理 MM 系統中的共價鍵，以防止在跨邊界計算鍵時重複計算相互作用。
總的來說，邊界處理的目標是在 QM 和 MM 系統之間獲得對 QM-MM 交互的良好描述，可以通過三種方案來實現。
#### 連結原子方案
連結原子方案引入了一個額外的原子（通常是氫原子）。這個原子不是真實系統的一部分。它與量子力學所描述的原子共價鍵合，用於使其共價鍵飽和（通過替換已斷裂的鍵）。
#### 邊界原子方案 | [
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] |
QM/MM | 在邊界原子方案中，與 QM 原子結合的 MM 原子被替換為一個特殊的邊界原子，該原子出現在 QM 和 MM 計算中。 在 MM 計算中，它簡單地表現為一個 MM 原子，但在 QM 系統中，它將模仿橫跨邊界的 MM 原子的 QM 電子特徵。
#### 局部軌道方案
局部軌道方案將雜化軌道置於邊界上，並凍結其中的一些軌道。 這些軌道代替了 QM 區域中切斷的鍵。
*
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物理学词汇表 | 本**物理學詞彙表**列出了與物理學、其分支學科和相關領域（包括力學、材料科學、核物理學、粒子物理學和熱力學）相關的術語和概念的定義。有關科學和技術相關領域的更具包容性的詞彙表，請參閱化學詞彙表、天文學詞彙表、數學領域詞彙表和工程學詞彙表。
本詞彙表按照拼音字母排列。
## A
阿爾法粒子
阿爾法衰變
阿伏伽德羅常數
阿伏伽德羅定律
阿基米德定律
埃格斯特朗
愛因斯坦求和約定
安培
暗物質
暗能量
凹面鏡
凹透鏡
## B
巴比涅原理
巴耳末系
擺
半導體
半衰期
保守力
飽和蒸氣壓
貝索函數
貝塔射線（β 射線）
貝塔衰變（β 衰變）
比爾 - 朗伯定律
比熱
比熱容
畢奧 - 薩伐爾定律
純量
標準大氣壓
標準模型
標準燭光
標準狀況
表面張力
並聯
波
波長
波束
波數
波爾模型
波函數
玻爾茲曼常數
玻爾茲曼統計
玻色 - 愛因斯坦凝聚
玻色子
玻意耳定律
泊松方程
泊松亮斑
伯努利定律
伯努利方程
布拉格定律
布喇開系
布朗運動
布儒斯特角
## C
材料科學
參考系
測不準原理
測量誤差
層流
查理定律
長波輻射
長度
場
場論
場線
超導
超導體
超對稱
超聲波
弛豫時間
串聯
磁場
磁場強度
磁單極子
磁導率
磁感應強度
磁感線
磁化
磁化率
磁矩
磁流體力學
磁通量
磁性
磁懸浮
磁阻
次聲波
## D
達因
打點計時器
大爆炸
大統一理論
單擺
單縫衍射
彈道
導熱係數
導體
道爾頓定律
德布羅意波
電漿體
電漿體物理
笛卡爾坐標系
狄拉克符號
狄拉克函數
地球物理學
電場
電場強度
電池
電磁波
電磁場
電磁感應
電磁力
電磁學
電導率
電動機
電動力學
電動勢
電感
電功率
電荷
電離
電流
電路
電能
電偶極矩
電熱
電容
電弱統一理論
電勢
電壓
電子
電子對
電子伏特
電子加速器
電子衍射
電子云
電阻
電阻率
丁達爾效應
定常
定滑輪
動滑輪
動力學
動量
動量守恆定律
動摩擦係數
動能
動能定理
短波
對稱性
對稱性破缺
都卜勒頻移
都卜勒效應
## F
發電機
發光強度
發射光譜
發射率
法拉
法拉第電磁感應定律 | [
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] |
物理学词汇表 | 法向
砝碼
反夸克
反射
反射角
反物質
反照率
范德華力
放熱過程
放射性
飛米
飛秒
非牛頓流體
非彈性碰撞
非線性光學
非線性物理學
菲涅爾衍射
沸點
沸騰
費米子
費米 - 狄拉克統計
分鐘
分子
分子量
伏特
浮力
輻亮度
輻射
輻射傳輸
輻射度
輻射功率
輻射能
輻射強度
輻照度
負溫度
復擺
傅科擺
## G
伽馬射線
蓋 - 呂薩克定律
干涉
感應起電
剛體
剛體動力學
槓桿
槓桿原理
高能物理
高斯單位制
格雷厄姆定律
格林函數
各向同性
各向異性
功
功率
共振
共振峰
固體
固體物理
慣性
慣性參考系
光
光電效應
光能
光年
光譜
光速
光通量
光學
光壓
光柵
光子
廣義相對論
規範場論
滾動摩擦
國際單位制
過飽和
過阻尼
## H
哈勃定律
哈密頓力學
哈密頓量
哈密頓算符
哈密頓 - 雅可比方程
焓
合金
荷質比
核磁共振
核電池
核動力
核輻射
核工程
核化學
核融合
核分裂
核物理
赫茲
黑體（物理學）
黑體輻射定律
亨利（單位）
橫波
紅外線
紅移
虹吸
弧度
弧秒
華氏度
滑動摩擦
滑輪
惠更斯 - 菲涅爾原理
霍爾效應
## J
J 粒子
機械
機械波
機械能
機械效率
基爾霍夫電路定律
基態
激發態
雷射
吉布斯自由能
幾何光學
計算物理學
加速度
加速器（物理）
剪切力
剪切模量
剪切形變（剪切應變）
交流電
焦點
焦耳
焦距
膠子
角動量
角加速度
角秒
角頻率
角速度
結合能
接觸角
介電常數
介子
近代物理
進動
晶格
晶體
經典物理
精細結構常數
靜電
靜電屏蔽
靜力平衡
靜摩擦
靜質量
巨正則系綜
絕對零度
絕對溫標
絕熱過程
## K
卡諾循環
卡文迪許實驗
開爾文
克卜勒（行星運動）定律
坎德拉
康普頓散射
科里奧利力
可見光
克勞修斯不等式
克勞修斯 - 克拉伯龍方程
空氣動力學
庫侖
夸克
擴散
擴散係數
## L
拉格朗日力學
拉普拉斯變換
拉普拉斯妖
拉普拉斯 - 隆格 - 楞次向量
萊曼系
藍移
朗道阻尼
勒克斯
雷諾數
楞次定律 | [
0.03299333155155182,
0.18319451808929443,
0.1580153852701187,
0.031115248799324036,
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0.3099546432495117,
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0.1367805153131485,
0.005566698033362627,
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0.3980146646499634,
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0.13121749460697174,
0.05577164515852928,
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0.08308035135269165,
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0.014133200980722904,
0.08279905468225479,
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0.3578507900238037,
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0.1837712675333023,
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0.1494593620300293,
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0.11000223457813263,
0.2746551036834717,
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0.20682662725448608,
0.1496691256761551,
-0.06135036051273346,
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0.38154488801956177,
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0.020502032712101936,
0.3573620617389679,
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0.28908658027648926,
0.03929249569773674,
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0.12409613281488419,
-0.29590556025505066,
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-0.2703026831150055,
-0.6820062398910522,
0.2481992244720459,
0.0954633429646492,
0.13340257108211517,
-0.1778160184621811,
-0.3044900894165039,
-0.07720713317394257,
0.323548287153244,
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0.024953654035925865,
-0.08099278062582016,
0.07165791839361191,
-0.09088920801877975,
-0.20226384699344635,
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0.06806635111570358,
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0.3609232008457184,
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0.32349568605422974,
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0.17268826067447662,
0.2533072829246521,
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0.2919921576976776,
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0.10412025451660156,
-0.05442020297050476,
0.3341112732887268,
0.13212762773036957,
0.401504784822464,
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-0.19803419709205627,
-0.07766440510749817,
-0.17722949385643005,
-0.6416237950325012,
0.040784627199172974,
0.4014543294906616,
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-0.3609917461872101,
0.30926933884620667,
-0.4372594952583313,
0.15255126357078552,
0.294354647397995,
0.1468142718076706,
0.09997424483299255,
-0.07577081769704819,
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0.011145523749291897,
0.08601126074790955,
0.414016991853714,
0.06805270165205002,
0.08129628747701645,
-0.323738157749176,
-0.1984127312898636,
0.2725699841976166,
0.2853762209415436,
-0.3459860682487488,
0.07863259315490723,
-0.00838862732052803,
0.07872992008924484,
0.09022186696529388,
0.30310121178627014,
-0.2066076248884201,
-0.02272069826722145,
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-0.47181013226509094,
0.33461815118789673,
-0.17794917523860931,
-0.09544702619314194,
0.3077489733695984,
0.3739925026893616,
0.02958708070218563,
0.07208387553691864,
0.5576142072677612,
-0.39104774594306946,
0.18370206654071808,
-0.13197742402553558,
-0.22609610855579376,
-0.13958968222141266,
0.4226554036140442,
-0.011331181973218918,
0.05469594895839691,
0.565220057964325,
-0.48053425550460815,
-0.26708629727363586,
-0.01787652261555195,
0.03628207743167877,
0.09077177196741104,
0.16992904245853424,
0.14297756552696228,
0.5279939770698547,
-0.16375891864299774,
-0.4816346764564514,
0.2150249481201172,
-0.293229341506958,
0.17398454248905182,
0.06126764789223671,
-0.0532953105866909,
0.011509101837873459,
0.09252707660198212,
0.2674846947193146,
0.3096306324005127,
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0.011826440691947937,
0.08927655965089798,
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0.19693467020988464,
0.6040196418762207,
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0.3590764105319977,
0.5691928863525391,
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0.2983817458152771,
0.30530762672424316,
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0.008521655574440956,
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0.02909674122929573,
0.2694229483604431,
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0.19232571125030518,
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0.0007911897264420986,
0.24762007594108582,
0.2784941792488098,
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0.189481720328331,
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0.5284656882286072,
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0.022749844938516617,
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0.4299432337284088,
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0.03016919270157814,
0.043666377663612366,
0.19271405041217804,
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-0.3171739876270294,
0.5210940837860107,
-0.08098425716161728,
0.10966247320175171,
0.3701740503311157,
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0.09348292648792267,
-0.01720825582742691,
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0.34354367852211,
0.06533077359199524,
-0.1085226908326149,
0.3004741668701172,
0.22220371663570404,
0.09211625158786774,
0.03240307793021202,
0.319774866104126,
-0.33595898747444153,
-0.08190511912107468,
0.3747391104698181,
-0.059170860797166824,
-0.2027425616979599,
-0.06574789434671402,
0.38688066601753235,
0.16447922587394714,
0.4451429843902588,
0.3664553463459015,
0.4108108878135681,
-0.21966716647148132,
0.15717296302318573,
0.10250300168991089,
0.29884061217308044,
0.31537795066833496,
-0.08590546995401382,
0.13287806510925293,
-0.04174719378352165,
0.2274421602487564,
0.5434430241584778,
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-0.02400127425789833,
-0.013628382235765457,
-0.010760776698589325,
-0.20705749094486237,
0.07329118996858597,
-0.16143082082271576,
0.20186996459960938,
-0.21286319196224213,
0.1084609180688858,
0.13308778405189514,
0.2786705195903778,
0.4432774782180786,
-0.25726181268692017,
0.29978224635124207,
-0.44963541626930237,
-0.08493184298276901,
-0.08974497020244598,
-0.1204252615571022,
0.1558830291032791,
0.45495328307151794,
0.23256875574588776,
0.11346767097711563,
-0.22381389141082764,
-0.32289552688598633,
0.050559114664793015,
-0.10898416489362717,
0.426876425743103,
0.08232475817203522,
0.023422658443450928,
-0.3373895287513733,
0.3946242034435272,
0.07274310290813446,
0.31608304381370544,
0.35173532366752625,
0.3884393274784088,
0.28694549202919006,
0.09986424446105957,
-0.04103871062397957,
0.09013312309980392,
-0.26463454961776733,
0.38014915585517883,
0.26348769664764404,
0.1176372766494751,
-0.16886962950229645,
-0.05569081753492355,
-0.05242639034986496,
0.2958967387676239,
-0.18891865015029907,
0.16158822178840637,
0.006805297452956438,
-0.3382706046104431,
0.01707352325320244,
0.43734070658683777,
0.41681432723999023,
0.153110533952713,
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0.034659989178180695,
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0.044590502977371216,
0.15372511744499207,
-0.25040963292121887,
0.04045545682311058,
0.00905604474246502,
-0.037896912544965744,
0.006218360271304846,
-0.1991134136915207,
-0.34678027033805847,
-0.01877707615494728,
-0.062335118651390076,
-0.005148604512214661,
-0.23806262016296387,
0.39648401737213135,
-0.20122696459293365,
-0.25277331471443176,
-0.13394224643707275,
0.13054683804512024,
0.13185720145702362,
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0.20351573824882507,
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0.16473744809627533,
0.2678219676017761,
0.2712290585041046,
0.07118459790945053,
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-0.6790719628334045,
-0.34962567687034607,
0.020147264003753662,
0.13101860880851746,
-0.21533790230751038,
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0.3087139427661896,
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0.05175760015845299,
0.037740547209978104,
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0.07818261533975601,
0.4921264350414276,
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0.2579120099544525,
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0.05263905972242355,
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0.1629522144794464,
0.18080615997314453,
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0.12800614535808563,
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0.28930529952049255,
0.23536859452724457,
0.36715632677078247,
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0.44108957052230835,
0.0508502833545208,
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0.5572454929351807,
0.06502806395292282,
0.2104858011007309,
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0.15669335424900055,
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0.27196115255355835,
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0.04686964303255081,
0.18525636196136475,
0.11287296563386917,
0.41638052463531494,
0.148259237408638,
0.15269236266613007,
0.1038157045841217,
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] |
物理学词汇表 | 厘米
離子
離心力
李薩如圖形
里德伯公式
理論力學
理論物理
理想氣體
理想氣體定律
力
力臂
力矩
力學
粒子物理
連續介質力學
鏈式反應
亮度
量綱
量子
量子場論
量子電動力學
量子霍爾效應
量子糾纏
量子力學
量子色動力學
量子數
量子隧穿效應
量子態
量子信息
臨界質量
流明
流體
流體動力學
流體靜力學
流體力學
流線
劉維爾定理
盧瑟福模型
孿生子佯謬
洛倫茲變換
洛倫茲力
## M
馬格努斯效應
馬赫數
馬德堡半球實驗
麥克斯韋方程組
麥克斯韋統計
麥克斯韋妖
米（單位）
米散射
密度
密立根油滴實驗
秒
秒差距
謬子
摩擦力
摩擦起電
摩擦係數
摩爾（單位）
摩爾質量
## N
奈米材料
奈米科學
納維 - 斯托克斯方程
撓度
能量
能量守恆定律
內能
黏度（粘滯係數）
凝固
凝華
凝聚態
凝聚態物理
牛頓（單位）
牛頓運動定律
扭秤
扭矩
## O
歐姆
歐姆定律
偶極子
## P
帕斯卡
帕斯卡定律
帕邢系
拍（聲學）
泡利不相容原理
配分函數
碰撞
皮秒
偏振
頻率
平拋運動
普豐德系
普朗克常數
普朗克長度
普朗克定律
普朗克時間
普朗特數
譜線
## Q
氣化
氣體
氣體常數
氣壓
千克
千瓦時
強相互作用
切向
切連科夫輻射
輕子
球面度
球坐標系
曲率
全同粒子
群速度
## R
燃點
燃燒
擾動
熱導率
熱核反應
熱解
熱量
熱能
熱力學
熱力學第零定律
熱力學第一定律
熱力學第二定律
熱力學第三定律
溶劑
溶解
溶解度
溶質
熔點
熔化
瑞利散射
瑞利 - 金斯定律
弱相互作用
## S
塞曼效應
三相點
散度
散射
散射角
散射截面
掃描隧道顯微鏡
色散
色散關係
閃點
熵
熵增原理
攝動理論
攝氏度
生物物理
升華
聲波
聲速
聲學
時變
時間
實像
實驗物理
矢量
勢能
守恆律
受迫振動
數密度
衰變
雙縫衍射
斯涅耳定律
斯特藩 - 玻爾茲曼定律
速度
速率
塑性
塑性形變
## T
彈簧
彈簧秤
彈力
彈性
彈性模量
彈性碰撞
特斯拉（單位）
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] |
物理学词汇表 | 體積
體積模量
天平
鐵磁性
同步輻射
同位素
統計物理
凸面鏡
凸透鏡
湍流
陀螺
## W
w 子
瓦特
萬有引力定律
微波
微尺度
微元法
微正則系綜
韋伯（單位）
位移
溫度
無線電波
物理學
物理學家
物理學史
物質波
物質的量
## X
X 射線
吸熱過程
吸收率
吸收係數
希格斯玻色子
系綜
狹義相對論
線密度
線速度
相對論
相對論質量
相對性原理
相干性
相互作用
相平衡
相速度
相圖
相位
向心力
小時
斜拋運動
虛像
旋度
旋子
薛丁格的貓
薛丁格方程
## Y
壓力
壓強
衍射
陽極
陽離子
楊氏模量
楊 - 米爾斯理論
液化
液體
陰極
陰離子
引力
引力波
引力常數
引力場
引力子
應力
硬度
永磁體
游標卡尺
宇稱
宇稱不守恆
原子
原子核
原子理論
原子量
原子物理
勻速直線運動
勻速圓周運動
## Z
張力
張量
章動
漲落
照度
折射
折射率
真空
振動
振幅
正電子
正則系綜
支持力
芝諾悖論
直流電
質點
質量
質能方程
質子
中子
中微子
重力
重力波
重子
轉動慣量
轉速
紫外線
自發過程
自然坐標系
自燃
自旋
自由落體運動
自由能
縱波
阻尼
阻尼比
阻尼振動
最大靜摩擦 | [
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0.16708719730377197,
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0.4962614178657532,
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0.2106999009847641,
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扩展休克尔方法 | **擴展休克耳方法**是一種半經驗量子化學方法，由羅德・霍夫曼 (Roald Hoffmann) 在 1963 年發展而來。 它基於休克耳方法，但原始的休克耳方法方法僅考慮 π 軌域，擴展方法還包括 σ 軌域。
擴展休克耳方法可以用於確定分子軌域，但它在計算有機分子的結構方面並不是很有效，但它可以確定不同構型的相對能量。 它使用相當簡單的方式計算電子間相互作用，其中電子 - 電子排斥作用沒有被直接的計算。總能量由分子中每個電子的能量相加得到。 擴展休克耳方法的哈密頓矩陣的非對角項由 Wolfsberg 和 Helmholz 近似計算得到，該近似使用重疊矩陣和哈密頓矩陣的對角項計算非對角項
$$
H_{ij}=KS_{ij}{\dfrac {H_{ii}+H_{jj}}{2}}
$$
其中_**K**_是 Wolfsberg–Helmholz 常數，通常取值為 1.75。在擴展休克耳方法中只考慮了價電子，其原子實電子的能量和函數應該在同類原子之間基本保持不變。該方法使用一系列根據原子游離能或其他理論方法計算的半經驗能量作為哈特里－福克矩陣的對角元素。在計算得到非對角線元素並對哈特里－福克矩陣對角化後，可以得到價軌域的能量（特徵值）和其對應的波函數（特徵向量）。
在許多理論研究中，通常使用擴展休克耳方法產生的分子軌域作為初始值，通過更高級的方法（例如 CNDO/2 方法和從頭算量子化學方法）計算分子軌域。由於擴展休克耳方法的基組是固定的，其波函數必須先投影到對應的基組然後進行精確計算。通常，可以通過最小二乘法將新基組中的軌域調整為舊軌域來做到這一點。由於這種方法只能產生價電子波函數，因此必須使用計算得出的軌域對其餘的基組進行正交歸一化，然後選擇能量較低的軌域來填充原子實波函數。通過這種方法可以計算更準確的分子結構和電子特性，如果應用在從頭算量子化學方法中，可以更快的收斂其波函數。
該方法首先由羅德・霍夫曼提出並使用，他與羅伯特・伯恩斯・伍德沃德一起提出了闡明反應機制的理論（分子軌域對稱守恆原理）。他們使用由擴展休克耳方法得到的分子軌域圖片來闡述環加成反應中的軌域相互作用。
羅德・霍夫曼 和威廉・利普斯科姆更早使用了一種類似的方究硼氫化物。 在該方法中哈密頓矩陣的非對角元素與對應的重疊積分矩陣的元素成正比。
$$
H_{ij}=KS_{ij}
$$ | [
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扩展休克尔方法 | 因為由於硼和氫之間電負性僅存在微小差異，對角線元素的值近似，因此 Wolfsberg 和 Helmholz 近似對於硼氫化物是合理的。
該方法對分子內包含電負性差異很大的原子殘留誤差較大。為了改進這個缺點，多名學者提出了使用於原子電荷的迭代方法。例如仍在無機和有機金屬化學中廣泛使用的 Fenske-Hall 方法。
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黑洞宇宙观 | **黑洞宇宙觀**（也稱為史瓦西宇宙觀或黑洞宇宙學模型）是一種物理宇宙學模型，認為可觀測宇宙是一個黑洞的內部。此類模型最初由理論物理學家 Raj Pathria 提出，同時由數學家 I. J. Good 提出。
任何此類模型都要求可觀測宇宙的哈勃半徑等於其史瓦西半徑，即其質量與史瓦西比例常數的乘積。確實如眾所周知，情況幾乎就是這樣。然而，至少有一位宇宙學家認為這種幾乎一致是巧合。
在最初由 Pathria 和 Good 提出並最近由 Nikodem Popławski 等人的研究，可觀測宇宙是一個黑洞的內部，黑洞可能存在於更大的母宇宙或多重宇宙中。
根據廣義相對論，足夠緻密的質量的引力坍縮形成了一個奇異的史瓦西黑洞。然而，在愛因斯坦 - 嘉當 - Sciama-Kibble 引力理論中，它形成了一個規則的愛因斯坦 - 羅森橋或蟲洞。史瓦西蟲洞和史瓦西黑洞是廣義相對論和愛因斯坦 - 嘉當理論的不同數學解。然而對於觀察者來說，質量 (mass) 相同的兩種解決方案在外部是無法區分的。愛因斯坦 - 嘉當理論擴展了廣義相對論，取消了仿射聯絡的對稱性約束，並將其反對稱部分，即扭率張量視為動力學變量。扭率自然地解釋了物質的量子力學、固有角動量（自旋）。扭率和狄拉克旋量之間的最小耦合會產生排斥性的自旋 - 自旋相互作用，這在極高密度的費米子物質中很重要。這種相互作用阻止了引力奇點的形成。相反，坍縮的物質達到巨大但有限的密度並反彈，形成愛因斯坦 - 羅森橋的另一側，它作為一個新宇宙成長。相應地，大爆炸是一次非奇異的大反彈，此時宇宙有一個有限的、最小的比例因子。或者，大爆炸是一個超大質量白洞，它是我們母宇宙的星系中心超大質量黑洞的結果。
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未解決的信息理论問題 | 這篇文章列出了資訊理論中值得注意的未解決的問題列表。這些問題被分為數據壓縮和信道編碼。還有一些相關的未解決的問題在哲學方面。
## 信道編碼
* **網絡容量**：一般無線網絡的容量是不知道的。 有一些特殊情況下，容量是已知的，如 AWGN 信道和消逝信道。
* **廣播信道容量**：廣播信道的容量，或者說單個發射器向許多接收者發送信息的情況，一般來說是未知的，儘管它在幾個特別情況下是已知的。
* **干擾信道容量（兩個用戶）** ：在有兩對發射器和接收器相互干擾的情況下，干擾信道的容量一般是未知的。在特殊情況下，容量是已知的：強幹擾制度，注入 - 決定性的。容量在近似意義上或在一定範圍內是已知的：注入式 - 半決定性的，具有每塊功率約束的加性白高斯噪聲。
* **雙向信道容量**：雙向信道（信息在兩個方向上同時發送的信道）的容量是未知的。
* **ALOHAnet 的容量**。 ALOHAnet 使用了一個非常簡單的訪問方案，其容量仍然未知，儘管在一些特殊情況下是已知的。
* **量子容量**：量子通道的容量是完全不知道的。
## 源編碼
* **分布式信源編碼**。使用互不通信的編碼器來壓縮相關的信息源，將每個信息源保留在其失真度量之內的最佳方法還不清楚。
## 參考文獻
## 延伸閱讀
* Cover, Thomas; Gopinath, B. Open Problems in Communication and Computation (PDF). Springer-Verlag. 1987 [11 February 2021].
* David Joyner; Jon-Lark Kim. Selected Unsolved Problems in Coding Theory. New York: Springer. 2010.
* Longo, Giuseppe. Information theory: new trends and open problems. 1975. ISBN 9783211813782.
* Tse, David. It's Easier to Approximate (PDF). Information Theory Society Newsletter. 1996 [26 June 2013]. | [
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宇宙蠕蟲洞 | **蟲洞**（英語：wormhole），又稱**愛因斯坦 - 羅森橋**（英語：Einstein—Rosen bridge），是一種連接時空中不同點的理論結構，它基於愛因斯坦場方程式的特殊解。
蟲洞可以想像成一條隧道，其兩端位於時空的不同點（可能是不同的位置和時間）。
蟲洞與廣義相對論是相容的，但蟲洞是否真的存在還有待觀察。許多科學家假設蟲洞只是第四空間維度的投影，類似於二維生物如何只能體驗三維物體的一部分
理論上，一個蟲洞可能連接十億光年這樣的極遠距離，也可能連接幾米這樣的短距離，或者不同的時間點，甚至不同的宇宙。
1995 年，馬特・維瑟提出，如果在早期宇宙中生成負質量的宇宙弦，宇宙中可能存在許多蟲洞。 一些物理學家，例如法蘭克・迪普勒和基普・索恩，提出了如何人工製造蟲洞。
## 宇宙間的旅行
由蟲洞啟用的時間旅行引起的悖論的可能解決方案取決於量子力學的多世界解釋。
1991 年大衛・多伊奇表明量子理論在具有閉合類時曲線的時空中是完全一致的（意思是密度矩陣可以被做成沒有不連續）
然而，後來表明，這種閉合類時曲線模型可能存在內部的不一致，因為它會導致奇怪的現象，像是區分非正交量子態和區分適當和不適當的混合態。 因此半古典計算的結果表明了虛擬粒子在蟲洞時間機器中循環的破壞性正反饋迴路是不可能的。從未來返回的粒子不會返回其起源的宇宙，而是返回平行宇宙。這表示，理論上，具有極短時間跳躍的蟲洞時間機器是同時的兩個平行宇宙之間的橋梁。
因為蟲洞時間機器在量子理論中引入了一種非線性項，平行宇宙之間的這種通信與約瑟夫・波爾欽斯基提出的「埃弗里特電話」一致（在史蒂文・溫伯格的非線性量子力學表述中，依休・艾弗雷特三世的名字命名）
平行宇宙之間交流的可能性被稱為「宇宙間的旅行」。
蟲洞也可以用史瓦西黑洞的潘洛斯圖來描繪。在潘洛斯圖中，一個運動速度超過光速的物體將可穿過黑洞，並從另一端出現，進入不同的空間、時間或宇宙。這將是一個宇宙間蟲洞。
## 度規
「蟲洞度規」描述了蟲洞的時空幾何，並作為時間旅行的理論模型。一個（可穿越的）蟲洞度規的例子如下：
由埃利斯首次提出，此為埃利斯排水孔的特例
一種不可穿越的蟲洞的度規是史瓦西解（見第一張圖）：
1935 年 7 月發表的一篇文章描述了最初的愛因斯坦 - 羅森橋。
對於史瓦西球對稱靜態解：
在這裡 $ds$ 是原時而光速 $c=1$
利用 $u^{2}=r-2m$ ，把 $r$ 換成 $u$ | [
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宇宙蠕蟲洞 | > 數學上將這個解的四維時空想成兩個全等部分，或是兩片紙片，根據 $u>0$ 或 $u<0$ 決定這個點在哪片時空部分上。這兩個時空部分被 $r=2m$ （即 $u=0$ ）這個超曲面連接。我們稱這樣的連接是個「橋」
>
>
考慮到重力場以及電場，愛因斯坦和羅森推導出以下史瓦西靜態球對稱解
$\varepsilon $ 代表電荷
沒有分母的場方程式（在 $m=0$ 的情況下）可寫為
為了去除奇異點，若把 $r$ 換為 $u$ 根據：
又 $m=0$ ，可得
> 在這個解中，對於兩張紙空間中的所有有限點，解都沒有奇異點
>
>
## 可視化
蟲洞的概念簡單來說，可先將空間想成一種二維表面，而蟲洞就是表面的一個洞，會通過一個管子，然後連結到在二維表面上的另一個位置。由於空間實際上是 3 維的，所以不同於二維的洞是個圓，入口通道的「洞」其實是一個球。
想像蟲洞的另一種方法是拿一張紙，在紙的一面畫兩個距離稍遠的點。這張紙代表時空連續體中的一個平面。如果把這張紙對折，並建立連接這兩點的橋，走這個橋的距離會比走紙上的距離短得多。這個橋就是蟲洞。
## 可穿越蟲洞
卡西米爾效應指出，量子場論允許空間某些區域的能量密度相對於普通物質的真空能量為負，並且已經從理論上表明，量子場論允許能量在給定點可以任意為負的狀態。 許多物理學家，例如史蒂芬霍金， 基普・索恩，以及其他人， 認為這種效應使穩定可穿越蟲洞成為可能。倫納德・蘇斯金德在他的 ER=EPR 猜想中提出了理論上，在廣義相對論和量子力學的背景下形成蟲洞的唯一已知自然過程。量子泡沫假說有時被用來表明微小的蟲洞可能會在普朗克尺度上自發出現和消失。穩定的這種蟲洞被視為是暗物質的一種可能選項。 也有人提出，如果在宇宙大霹靂時出現了一個由負質量宇宙弦打開的微小蟲洞，它可能已經因宇宙膨脹，擴張到宏觀尺寸。 | [
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宇宙蠕蟲洞 | 洛倫茲可穿越蟲洞將允許從宇宙的一部分非常快速地旅行到同一宇宙的另一部分（而且可以雙向通行），或者允許從一個宇宙旅行到另一個宇宙。荷馬・埃利斯和 K・A・布隆尼科夫分別在 1973 年發表論文，首次證明了廣義相對論中可穿越蟲洞的可能性 埃利斯分析了埃利斯排水孔的拓撲結構和測地線，表明它在測地線上是完整、無事件視界、無奇異點的，並且可以在兩個方向上完全穿越。埃利斯排水孔是愛因斯坦真空時空場方程式的解流形，由包含最小耦合到具有反正統極性（負而不是正）的里奇張量的純量場修改而成。（因為反正統的耦合，埃利斯特別拒絕將純量場稱為「奇特的」，認為這樣稱呼的論據沒有說服力。）解決方案取決於兩個參數：m，它固定其引力場的強度，n，它決定其空間橫截面的曲率 。當 m 設置為 0 時，排水孔的重力場消失。剩下的就是埃利斯蟲洞，一個無引力、純幾何、可穿越的蟲洞。
## 小說
蟲洞是科幻小說中的常見元素，因為它們允許星際、星系間，有時甚至是人類生命尺度內的宇宙間旅行。在小說中，蟲洞也被用作時間旅行的一種方法。
## 參考資料
### 引用
* DeBenedictis, Andrew and Das, A. On a General Class of Wormhole Geometries. arXiv eprint server. [2005-08-12]. （原始內容存檔於 2017-01-12）.
* Dzhunushaliev, Vladimir. Strings in the Einstein's paradigm of matter. arXiv eprint server. [2005-08-12]. （原始內容存檔於 2017-01-12）.
* Einstein, Albert and Rosen, Nathan. The Particle Problem in the General Theory of Relativity. _Physical Review_ **48**, 73 (1935).
* Fuller, Robert W. and Wheeler, John A.. Causality and Multiply-Connected Space-Time. _Physical Review_ **128**, 919 (1962). | [
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宇宙蠕蟲洞 | * Visser, Matt. The quantum physics of chronology protection by Matt Visser.. arXiv eprint server. [2005-08-12]. （原始內容存檔於 2013-09-21）. An excellent and more concise review.
* Visser, Matt. Traversable wormholes: Some simple examples. _Physical Review D_ **39**, 3182–3184 (1989).
## 外部連結
* 香港太空館：甚麼是「蟲洞」？
* 香港太空館：黑洞：從幻想到現實
* Creating a Traversable Wormhole（頁面存檔備份，存於網際網路檔案館） by Mohammad Mansouryar
* What exactly is a 'wormhole'? answered by Richard F. Holman, William A. Hiscock and Matt Visser.
* Why wormholes? （頁面存檔備份，存於網際網路檔案館） by Matt Visser.
* Wormholes in General Relativity by Soshichi Uchii.
* New Improved Wormholes （頁面存檔備份，存於網際網路檔案館） by John G. Cramer
* White holes and Wormholes provides a very good description of Schwarzschild wormholes with graphics and animations, by Andrew J. S. Hamilton.
* Wormhole on arxiv.org （頁面存檔備份，存於網際網路檔案館） | [
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宇宙蠕蟲洞 | * The Big Question: Is time travel possible, and is there any chance that it will ever take place?（頁面存檔備份，存於網際網路檔案館） - Information about the theory the Large Hadron Collider could create a small wormhole. Possibly making time travel into the past possible.
* animation that simulates traversing a wormhole（頁面存檔備份，存於網際網路檔案館） | [
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] |
2005年科技 | **2005 年科學技術**領域所發生的一些重要事件。
## 重大獎項
諾貝爾獎
* **物理學**
* 羅伊・格勞伯（Roy J. Glauber，美國）
* 表彰他對光學相干的量子理論的貢獻
* 約翰・霍爾（John L. Hall，美國）和特奧多爾・亨施（Theodor W. Hänsch，德國）
* 表彰他們對基於雷射的精密光譜學發展作出的貢獻
* **化學**
* 伊夫・肖萬（Yves Chauvin，法國）、羅伯特・格拉布（Robert H. Grubbs，美國）、理察・施羅克（Richard R. Schrock，美國）
* 對烯烴複分解反應的研究
* **生理學或醫學**
* 巴里・馬歇爾（Barry J. Marshall，澳大利亞），羅賓・沃倫（J. Robin Warren，澳大利亞）
* 發現了幽門螺旋桿菌以及該細菌對消化性潰瘍病的致病機理
* **文學**
* 哈羅德・品特（Harold Pinter CH, CBE，英國），劇作家及劇場導演。
* 他的作品揭示了日常絮談中的危機、強行打開了壓迫的封閉房間。
* **和平**
* 國際原子能機構（IAEA）及其總幹事穆罕默德・巴拉迪（Mohamed ElBaradei，埃及）
* 防止核能被用於軍事目的並確保最安全的和平利用核能
* **經濟學**
* 托馬斯・克羅姆比・謝林（Thomas Crombie Schelling，美國）、羅伯特・約翰・奧曼（Robert John Aumann，美國／以色列）
* 通過博弈論分析促進了對衝突與合作的理解。
圖靈獎
* 彼得・諾爾
## 參見
* 科學年表
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] |
丁冬生 | **丁冬生**（1987 年 2 月 —），男，安徽人，國家重點研發計劃青年首席科學家，中國科學技術大學教授。
## 生平
2010 年 7 月畢業於安徽師範大學物理系獲學士學位，同年考取中國科學技術大學光學專業研究生，於 2015 年 7 月獲博士學位。2014 年 9 月至 2015 年 7 月任中國科學技術大學物理學院助理研究員，2015 年 8 月任物理學院副研究員，2018 年 4 月聘為教授。
## 學術貢獻
主要從事基於冷原子系統的量子存儲、里德堡原子的量子模擬和精密測量、以及渦旋光場的非線性調控等領域研究工作，在 Nat. Physics., Nat. Photon., Science. Advance., Nat. Commun., Physical Review X, Physical Review Letters, Science Bulletin 等發表論文 60 餘篇。主持科技部國家重點研發計劃項目課題、重點研發計劃青年項目，國家自然科學基金優秀青年科學基金、聯合資助基金項目，安徽省重大專項等科研項目十餘項。
## 獎勵
* 2016 年度中國科學院優秀博士學位論文獎
* 2018 年，獲國際大會 Light Conference「光學未來之星」獎
* 2019 年度中國光學學會光學科技獎一等獎（第二完成人）
* 2020 年度安徽省自然科學一等獎（第二完成人）
* 2022 年，獲第十一屆饒毓泰基礎光學獎
* 2022 年，獲中國電子學會自然科學二等獎
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詹姆斯·庫利 | **詹姆斯・威廉・庫利**（英語：James William Cooley，1926 年 —2016 年 6 月 29 日）是一位美國數學家。庫利於 1949 年在紐約布朗克斯的曼哈頓學院獲得學士學位，1951 年在紐約的哥倫比亞大學獲得碩士學位，並於 1961 年在哥倫比亞大學獲得應用數學博士學位。1953 年至 1956 年，他在紐澤西州普林斯頓高等研究院擔任約翰・馮紐曼計算機的程式設計師，在那裡他特別為布萊克曼 - 圖基變換進行了編程。
1956 年至 1962 年，他在紐約大學科朗研究所從事量子力學計算工作，當時他是紐約約克鎮高地的 IBM 沃森研究中心研究人員。1991 年從 IBM 退休後，他加入位於金斯頓的羅德島大學電機工程系，擔任計算機工程項目的教員。
他對數學和數位訊號處理領域最重要的貢獻是重新發現快速傅里葉變換（FFT），他在 1965 年為 IBM 的研究部門工作時與約翰・圖基共同開發了這一算法（見庫利－圖基快速傅立葉變換算法）。
此動機是由 IBM 沃森研究所的理察・加溫博士所提供，他關心的是為 SALT 會談驗證與蘇聯的核武條約。加溫認為，如果他有一個非常快的傅立葉變換，他可以在蘇聯周邊國家的地面上安裝傳感器。他向庫利和圖基建議如何對傅立葉變換進行編程以使其更快。他們做了這項工作，傳感器被植入，他能夠將核爆炸的位置定位在 15 公里之內。
庫利是 IEEE 數位訊號處理委員會的成員，因其在 FFT 方面的工作而或選為 IEEE 院士，並獲得 IEEE 百年紀念獎章。2002 年，他獲得 IEEE 傑克・S・基爾比訊號處理獎章。他對數位訊號處理術語的建立作出了相當大的貢獻。
## 參考資料
## 外部連結
* 詹姆斯・庫利在數學譜系計畫的資料。 | [
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段金桥 | **段金橋**（1962 年 12 月 —），男，中國應用數學家。特別專長於隨機動力系統，非線性動力系統與隨機偏微分方程及其在數據科學，生物物理和地球物理系統中的應用。他在隨機動力系統不變流形理論、有效約化與逼近方法，Onsager-Machlup 作用泛函理論和亞穩態之間的遷移規律，非高斯噪聲與非局部偏微分方程， 非局部 Kramers-Moyal 公式，非高斯噪聲的動態影響與非高斯數據同化（data assimilation) 等領域做出重要貢獻，並應用於一些生物物理和地球物理系統。最近，他也在進行隨機動力系統與數據科學的交叉研究，並提出非局部 Kramers-Moyal 公式用於從數據中提取隨機控制律。他還在從事隨機 Hamilton/Contact 系統與隨機幾何力學，量子開放系統與隨機動力系統的交叉研究。
他曾任美國國家純粹與應用數學研究所副所長 (掛靠在加州大學洛杉磯分校），曾任美國國家基金委一個數據科學研究所輪值所長與分所長，還曾被聘為美國密蘇里科技大學冠名 Gary Havener 系主任。
他本科畢業於武漢大學計算數學專業， 碩士畢業於中國科學院（數學物理研究方向），又碩士畢業於麻薩諸塞大學阿默斯特分校，博士畢業於康奈爾大學應用數學中心（動力系統研究領域，導師菲利普・霍爾姆斯）。他隨後在加州理工學院跟隨 Stephen Wiggins 做博士後與 Instructor。
他先後在加州理工學院、克萊門森大學、加州大學洛杉磯分校和伊利諾理工學院任教。
## 科學貢獻
段金橋教授的研究領域包括隨機動力系統與非線性動力系統理論、計算和模擬，以及數學與其它學科的交叉研究 (地球與環境、生命科學等有關的隨機現象與複雜現象)。段金橋教授在非高斯隨機動力系統，隨機偏微分方程齊性化及其相關應用研究領域作出了重要貢獻， 並獲得多項科研基金和科研獎勵。
他現任 Stochastics and Dynamics (「隨機動力系統」) 雜誌管理編輯。
他還任 Interdisciplinary Mathematical Sciences (「跨學科應用數學叢書」) 主編， 以及「Nonlinear Processes in Geophysics」編委。
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段金桥 | * Wei Wei, Ting Gao, Xiaoli Chen, and Jinqiao Duan, An optimal control method to compute the most likely transition path for stochastic dynamical systems with jumps. Chaos 32, 051102 (2022); https://doi.org/10.1063/5.009392
* Jianyu Hu, Dongfang Li, Jinqiao Duan and Xiaoli Chen, Data-driven method to learn the most probable transition pathway and stochastic differential equations, Physica D, 2023. https://doi.org/10.1016/j.physd.2022.133559
* Jintao Wang, Desheng Li, Jinqiao Duan, Compactly generated shape index theory and its application to a retarded nonautonomous parabolic equation. Topological Methods in Nonlinear Analysis. Volume 59, No. 1, 2022, 1-33. DOI: 10.12775/TMNA.2021.031
* Y. Li and J. Duan, Extracting Governing Laws from Sample Path Data of Non-Gaussian Stochastic Dynamical Systems. Journal of Statistical Physics (2022) 186:30.
* Dandan Li, Jinqiao Duan, Li Lin, and Ao Zhang, Bohmian trajectories of the time-oscillating Schringer equations Chaos 31, 101101 (2021); https://doi.org/10.1063/5.0067645 | [
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] |
段金桥 | * Fang Yang, Yayun Zheng, Jinqiao Duan, Ling Fu and Stephen Wiggins, The tipping times in an Arctic sea ice system under influence of extreme events. Chaos 30, 063125 (2020).
* Ying Chao and Jinqiao Duan, The Onsager-Machlup function as Lagrangian for the most probable path of a jump-diffusion process. Nonlinearity, 32 (2019) 3715 - 3741.
* S. Yuan and J. Duan, Action Functionals for Stochastic Differential Equations with Lévy Noise. Communications on Stochastic Analysis, Vol 13, No. 3, 2019, Article 10. DOI: 10.31390/cosa.13.3.10
* H. Qiao, Y. Zhang and J. Duan. Effective filtering on a random slow manifold. Nonlinearity 31 (2018) 4649-4666
* Wei Zou, D. V. Senthilkumar, Raphael Nagao, Istvan Z. Kiss, Yang Tang, Aneta Koseska, Jinqiao Duan and Jurgen Kurths, Restoration of rhythmicity in diffusively coupled dynamical networks. Nature - Communications July 15, 2015. DOI: 10.1038/ncomms8709
## 書籍
* _An Introduction to Stochastic Dynamics_, Cambridge University Press, 2015. | [
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] |
段金桥 | * _Effective Dynamics of Stochastic Partial Differential Equations_ (with Wei Wang), Elsevier, 2014.
* Probability and Partial Differential Equations in Modern Applied Mathematics (with E. Waymire, Eds.), Springer-Verlag, 2005.
* Recent Development in Stochastic Dynamics and Stochastic Analysis (with S. Luo and C. Wang, Eds.), World Scientific, New Jersey, 2010.
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M理論入門 | 簡單的說，**M 理論**給出了一種宇宙基本物質的想法。截至 2022，科學界尚未給出任何實驗證據來支持 M 理論能用來描述真實世界。即使 M 理論尚未有一個完善的數學表述，它依舊是「萬有理論」的有利競爭者，即它可以把重力與其它的力，如電磁力等整合。M 理論旨在以合理的數學方式統合量子力學與廣義相對論下的重力。相較之下，其它理論如迴圈量子重力被物理學家、研究員與學生認為是較不優雅的，因為它將重力與其他基本力（如電磁力等）完全分開。
## 背景
在 20 世紀的早期，長久以來被視為是建構物質最小單元的原子被證實包含更多構成元素，分別是質子、中子和電子，它們被稱為次原子粒子。在 1960 年代，其他次原子粒子開始被發現。1970 年代時，質子、中子以及其他強子被發現他們是由更小的粒子夸克所構成。而標準模型是一套用來描述這些粒子交互作用的規則。
1980 年代，一個更新的理論物理學數學模型，弦論誕生了。它展示了所有已知各種的次原子粒子都可以被一種假想的、一維的「弦」所構成。「弦」是一種無限小的構成單元，只有長度，而沒有高度或寬度。
為了使弦論在數學上有一致性，弦必須位在一個具有十個維度的宇宙中。然而，我們所處的宇宙只有四個維度：三個空間維度（長度、寬度、高度）以及一個時間維度，這貌似存在著矛盾。為了「拯救」他們的理論，弦論學家解釋說其他六個維度是無法被直接測量的；這個說法依靠一個複雜的數學物件，卡拉比 - 丘流形來解釋。維度數後來又增加到十一維，因為對於十維理論的不同解釋都會指向五個部分理論。在建立第十一個維度上，超引力理論也負責了十分重要的部分。
這些「弦」會在各個維度振動，並且依照他們的振動方式，他們在三維空間可能會以物質、光或重力的形式被觀測。振動方式決定了他們以物質或能量形式存在，並且所有形式的物質與能量都是弦振動的結果。
因為不同版本的等式不斷出現，弦論被認為遭遇到了瓶頸。最終，五個主要的弦理論被建立了。各理論最大的差異在於弦在多少維度中振動，以及弦的特徵（如有些弦具開口，有些弦是封閉的，等）。並且，所有的理論都是可利用的。對於五個看似相互矛盾的等式組能用來描述同一件事，多數科學家感到不舒服。 | [
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M理論入門 | 1995 年，一場舉辦在南加州大學弦論會議上的演講中，普林斯頓高等研究院的愛德華・維騰認為，弦論的五個不同版本應該是以不同角度來對同一件事進行解釋。 他提出一個統一理論，稱作「M 理論」，其中的「M」並沒有被特別定義，不過通常被視為代表「膜（membrane）」。不過，「矩陣（matrix）」、「大師（master）」、「母親（mother）」、「怪物（monster）」、「神秘（mystery）」以及「魔法（magic）」等字也有被宣稱過。M 理論將所有弦理論納在一起，它藉由將弦視為一個在 11 維度的時空中振動的二維膜上的一維切片來達成此舉。更高維物體（如在三維中振動的水滴或球，甚至是更多維度）的振動是 M 理論中重要的一環， 不過，對於膜的基本理論尚在發展中。相對於在古典物理學中的一點、弦論中的一維弦，以及 M 理論中的二維膜，高維物體更難進行數學運算。
## 地位
M 理論尚不完善，但其數學方式已經有了十分詳盡的發展。不過，至今為止尚無實驗證據能支持 M 理論。基於一些更基本的議題，部分物理學家對於 M 理論是否能指向一個描述真實世界的物理理論保持著懷疑態度。
不過，因為其數學上的優雅與相對的簡易性，一些宇宙物理學家被 M 理論所吸引，因為他們期待著有個簡單的方法來描述整個宇宙。
M 理論能吸引如此多興趣的原因包括其自然的預測了重力子（一個自旋 - 2 的粒子，被假設來產生重力）的存在。除此之外，M 理論也預測了類似黑洞蒸發的現象。其他一同角逐統一理論的對手，如漸進安全性重力、E8 理論、非交換幾何及因果費米子系統 ，都沒有展現出數學一致性。另一個重力量子化的方式是迴圈量子重力，但它並不是一個統一理論。許多物理學家認為，相較於 M 理論，迴圈量子重力較不具優雅性，因為它認為重力與其它的基本力是不同的。
## 參見
* 弦論歷史
## 參考來源
## 延伸閱讀
* Greene, B. The Elegant Universe: Superstrings, Hidden Dimensions, and the Quest for the Ultimate Theory. W・W・諾頓公司. 1999. ISBN 978-0-375-70811-4. | [
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M理論入門 | * Greene, B. The Fabric of the Cosmos: Space, Time, and the Texture of Reality. 克諾夫出版社. 2004. Bibcode:2004fcst.book.....G. ISBN 978-0-375-41288-2.
* Miemic, A.; Schnakenburg, I. Basics of M-theory. 德國物理學會. 2006, **54** (1): 5–72. Bibcode:2006ForPh..54....5M. S2CID 98007313. arXiv:hep-th/0509137 . doi:10.1002/prop.200510256.
* Musser, G. The Complete Idiot's Guide to String Theory. Alpha Books. 2008. ISBN 978-1-59257-702-6.
* Smolin, L. The Trouble with Physics. Houghton Mifflin. 2006. ISBN 978-0-618-55105-7.
* Woit, P. Not Even Wrong: The Failure of String Theory and the Continuing Challenge to Unify the Laws of Physics. Basic Books. 2006. ISBN 978-0-465-09275-8. 含有內容需登入查看的頁面 (link) | [
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] |
1992年1月逝世人物列表 | **1992 年 1 月逝世人物列表**，是用於匯總 1992 年 1 月期間逝世人物的列表。
## 依日期排序
### 1 日
* 策勒阿巴，85 歲，義大利女演員
* 康拉德・布洛伊勒，79 歲，瑞士量子物理學家
* 傑傑克・巴德漢姆，72 歲，英國足球運動員
* 詹姆斯・道格拉斯，78 歲，英國社會研究員
* MJ 弗蘭科維奇，82 歲，美國電影製片人
* 弗朗茨・富克斯貝格爾，81 歲，奧地利男子足球運動員
* 葛麗絲・霍普，85 歲，美國海軍上將及計算機科學家
* 孟澤爾，92 歲，二戰德意志國防軍將軍
### 2 日
* 肯尼斯・埃默里，94 歲，美國人類學家
* 弗吉尼亞・菲爾德，74 歲，英裔美國女演員
* 蒂博・加萊，79 歲，匈牙利數學家
* 海德薇・哈斯，89 歲，德國女子劍擊運動員
* 漢斯・庫拉特，100 歲，美籍奧地利語言學家
* 吉內特・勒克萊爾，79 歲，法國女演員
* 莫里斯・佩蘭，80 歲，法國男子單車運動員
* 亞烏卡，56 歲，葡萄牙男子足球運動員
### 3 日
* OV 阿拉格桑，80 歲，印度政治家及自由鬥士
* 朱迪絲・安德森，94 歲，澳洲女演員
* 羅伯特・戈迪斯，83 歲，美國保守派人物
* 卡爾・麥克沃伊，61 歲，美國鋼琴家
* 多梅尼科・梅爾多萊西，51 歲，義大利賽車手
* 馬泰奧・波吉，78 歲，義大利足球運動員及教練
* 安東尼奧・基里諾，85 歲，菲律賓法官、企業家及政治家
* 拉多米羅・托米奇，77 歲，智利政治家
* 帕維爾・齊里亞諾夫，84 歲，蘇聯上將
### 4 日
* 亞歷杭德羅・卡里翁，76 歲，厄瓜多詩人、小說家及記者
* 柏特里克・加拉赫，82 歲，蘇格蘭足球運動員
* 安東尼奧・吉亞爾代洛，93 歲，義大利男子賽艇運動員
* 泰迪格雷斯，86 歲，美國爵士樂歌手
* 埃德蒙・薩馬拉科迪，79 歲，錫蘭律師、工會會員及政治家
* 蒂姆・華盛頓，32 歲，美式足球運動員
### 5 日
* 澤夫・亞歷山德羅維奇，86 歲，以色列攝影師。
* 菲利普・J・多蘭，68 歲，美國物理學家。
* 達塔特拉亞・甘尼許・高德西，77 歲，印度歷史學家、劇作家和藝術評論家。
* 魯伯・勞滕斯拉格，76 歲，美國籃球運動員。
* 切斯特謝弗，89 歲，美國電影剪輯師。
### 6 日
* 埃娃・巴拉斯，49 歲，匈牙利越野滑雪運動員 | [
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] |
1992年1月逝世人物列表 | * 卡爾・布里登堡，88 歲，美國殖民地歷史學家。
* 本特・克里斯滕森，62 歲，丹麥電影導演、演員和編劇
* 尼古拉・杜托夫，53 歲，蘇俄長跑運動員。
* 史地芬・嬌朋，42 歲，紐西蘭歌手
### 7 日
* 理察・亨特，40 歲，美國木偶師
* 吉爾・拉萊，29 歲，法國摩托車賽車手
* 羅伯特・羅德，46 歲，紐西蘭劇作家。
* 安德魯・馬頓，87 歲，匈牙利裔美國電影導演
* 伊恩・伍德，90 歲，澳大利亞政治家
### 8 日
* 阿卜杜拉希姆・布阿比德，69 歲，摩洛哥政治家。
* 安東尼・道森，75 歲，蘇格蘭演員
* 約翰・哈靈頓，70 歲，美國橄欖球運動員。
* 馬喬麗・凱恩，82 歲，美國電影和舞台劇演員。
* 約翰尼・梅傑，79 歲，荷蘭手風琴家。
* 納坦・佩萊德，78 歲，以色列政治家。
* 尼古拉斯・舍弗，79 歲，匈牙利 - 法國控制論藝術家。
* 卓婭・沃斯克列先斯卡婭，84 歲，蘇聯外交官、NKVD 秘密特工和兒童作家。
* 喬・之諾，72 歲，美國橄欖球運動員
### 9 日
* 史蒂夫・布羅迪，72 歲，美國演員
* 克勞德・科茨，78 歲，美國動畫師
* 阿爾科佩奇，75 歲，美國橄欖球運動員。
* 漢斯・詹尼，92 歲，瑞士出生的土壤科學家。
* 沃爾特・基切夫斯基，75 歲，美國橄欖球運動員和教練。
* 比爾・諾頓，81 歲，英國劇作家。
* 路易吉・斯蒂帕，91 歲，義大利航空工程師和飛機設計師。
* 路易斯・泰雷諾瓦，83 歲，法國政治家
* 約亨・範・阿爾森，50 歲，德國政治家和聯邦議院議員。
### 10 日
* 羅伯托博諾米，72 歲，阿根廷賽車手。
* 芭芭拉・庫珀，89 歲，英國女演員。
* 約翰尼・霍克，67 歲，澳大利亞橄欖球聯盟足球運動員
* 詹姆斯・勒布，82 歲，美國政治家和外交官
* 丹尼爾・諾頓，86 歲，澳大利亞政治家。
### 11 日
* 海基・阿爾托伊拉，86 歲，芬蘭電影作曲家。
* 讓・克勞迪奧，64 歲，法國演員。
* 胡安・吉爾巴托・富內斯，28 歲，阿根廷足球運動員
* 威廉・喬治・霍斯金斯，83 歲，英國歷史學家。
* 愛德華・楊卡茲，45 歲，波蘭賽車手
* 莫特・卡爾，89 歲，美國橄欖球運動員。
* 埃卡特 - 威廉・馮・博寧 ，72 歲，二戰期間德國空軍飛行員。
### 12 日
* 畢德顯，83 歲，中國電子學家 | [
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] |
1992年1月逝世人物列表 | * 畢力格・達木丁蘇倫，73 歲，蒙古音樂家和作曲家。
* 庫瑪幹闥婆，67 歲，印度古典歌手。
* 沃爾特・莫雷，84 歲，美國作家。
* 喬治・斯特羅邁爾，67 歲，美國橄欖球運動員。
* 哈里・范・多恩，76 歲，荷蘭政治家。
### 13 日
* 小休・米德・奧爾康，84 歲，美國政治家
* 伊馮娜・布萊斯蘭，66 歲，南非女演員
* 達格妮・林德，89 歲，瑞典電影演員
* 約瑟夫・內克曼，79 歲，德國馬術運動員
* 邁赫迪・阿巴索夫，32 歲，亞塞拜然政治家和軍人
* 亨利・克萊費克，81 歲，法國小說家。
* 格哈德・羅斯，95 歲，德國科學家，二戰期間的戰犯。
### 14 日
* 伊拉克利・阿巴希澤，82 歲，喬治亞詩人、文學家和政治家。
* 沃爾特・赫森斯，61 歲，比利時十項全能運動員
* 恩斯特・卡林克，73 歲，德國電影攝影師。
* 弗農・梅吉，91 歲，美國海軍陸戰隊將軍。
* 傑瑞・諾蘭，45 歲，美國搖滾鼓手，中風。
* 阿爾夫・泰克斯，87 歲，德國電影製片人。
* 弗洛裡・范・唐克，79 歲，比利時高爾夫球手。
### 15 日
* 張達志，80 歲，中國中將、政治家。
* 查理・加薩韋，73 歲，美國棒球運動員
* 弗里茨・克拉茨，85 歲，瑞士冰球運動員
* 迪・默里，45 歲，英國貝斯手，中風。
* 蘇珊娜・穆扎德，91 歲，法國和攝影師。
* 老安吉爾・佩納，68 歲，阿根廷裔美國賽馬訓練師
* 哈裡・羅德斯，59 歲，美國演員
### 16 日
* 羅斯・帕特森・阿爾傑，71 歲，加拿大政治家，癌症。
* 沃爾特・巴特爾，87 歲，二戰期間德國共產主義抵抗組織成員，歷史學家。
* 艾伯特・R・本克，88 歲，美國醫生。
* 阿姜查，73 歲，泰國和尚。
* W・約翰・肯尼，87 歲，美國海軍助理部長
* 卡爾 - 古斯塔克・林德施泰特，70 歲，瑞典喜劇演員和演員
* 謝拉・羅伯茨，67 歲，英國政治家
### 17 日
* 多蘿西・艾莉森，66 歲，澳大利亞女演員
* 路易吉・杜朗・德・拉佩內，77 歲，義大利海軍上將。
* 亨利・梅爾遜・斯托梅爾，71 歲，美國海洋學家
* 查理文圖拉，75 歲，美國薩克斯手
### 18 日
* 哈米杜爾・胡克・喬杜里，90 歲，孟加拉國政治家。
* 西奧多・萊斯利・法奇，96 歲，美國陸軍準將。
* 喬治希爾，90 歲，美國短跑運動員 | [
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] |
1992年1月逝世人物列表 | * 魯比・R・萊維特，84 歲，美國佈景師
* 克羅米・麥坎德利斯，71 歲，北愛爾蘭摩托車賽車手。
* 田中茂夫，85 歲，日本電影導演。
* 道格拉斯・伍爾夫，69 歲，美國小說和書評作家。
### 19 日
* 奧古斯托・貝內迪科，82 歲，西班牙裔墨西哥演員。
* 皮埃德羅・迪・多納托，80 歲，美國作家
* 阿爾伯特・格洛克，66 歲，美國考古學家
* 比爾霍頓，86 歲，英國橄欖球運動員。
* 泰德・W・勞森，74 歲，美國空軍軍官。
* 馬納本德拉・穆科帕迪耶，62 歲，印度創作歌手。
### 20 日
* 馬里奧・阿里塞羅，71 歲，古巴棒球運動員。
* 米洛萬・加瓦齊，96 歲，克羅埃西亞人種學家。
* 特隆・海格納，93 歲，挪威政治家。
* 查爾斯・肯尼，93 歲，美國作曲家、作家和小提琴家。
* 西奧多・盧基茨，94 歲，羅馬尼亞裔美國畫家。
* 讓 - 皮埃爾・勒科克，44 歲，比利時分子生物學家
* 湯姆・麥卡錫，57 歲，加拿大冰球運動員。
### 21 日
* 埃德蒙・科萊因，86 歲，德國建築師。
* 伯納德・科納特 - 讓蒂勒，82 歲，法國行政官和政治家。
* 錢皮恩・傑克・杜普里，81 歲，美國藍調音樂家
* 弗朗茨・漢雷特，78 歲，奧地利足球運動員。
* 瑪麗塔・卡圖舍娃，53 歲，蘇聯排球運動員
* 埃迪・馬博，55 歲，澳大利亞土著人民活動家
* 米格爾・曼扎諾，84 歲，墨西哥演員
### 22 日
* AJ 安通，47 歲，美國戲劇導演
* 馬克・霍普金森，42 歲，美國殺人犯，注射死刑。
* 布羅克斯伯恩男爵的德里克 - 沃克・史密斯，81 歲，英國政治家。
* 費爾南德・拜爾，73 歲，比利時足球運動員。
* 比利・格雷厄姆，69 歲，美國拳擊手，癌症。
* 弗朗西斯科・烏羅茲，71 歲，智利足球運動員。
### 23 日
* 弗雷迪・巴塞洛繆，67 歲，英裔美國童星
* 哈裡・莫蒂默，89 歲，英國作曲家和指揮家
* 約瑟夫・穆格奈尼，79 歲，義大利裔美國藝術家和插畫家。
* 伊恩・沃爾夫，95 歲，美國演員。
### 24 日
* 伊格拉西奧・貝納爾，81 歲，墨西哥人類學家和考古學家。
* 約翰・布萊弗，90 歲，美國演員。
* 周天娜，41 歲，美國模特和珠寶設計師
* 肯・達比，82 歲，美國作曲家、作詞家和指揮家。
* 克勞斯・卡爾皮寧，84 歲，芬蘭越野滑雪運動員 | [
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1992年1月逝世人物列表 | * 里基・雷・雷克托，42 歲，美國殺人犯
* 塔利亞・夏皮拉，45 歲，以色列女演員
### 25 日
* 拉班・阿德爾曼，79 歲，德國政治家和聯邦議院議員。
* 里亞德・艾哈邁多夫，35 歲，亞塞拜然軍官和戰爭英雄
* 凱・博尚，92 歲，英國共產主義活動家和女權主義者。
* 圭多・巴澤利，64 歲，義大利漫畫家、作家和畫家。
* 佩德羅・利納雷斯，85 歲，墨西哥藝術家。
* 馬哈茂德・里亞德，75 歲，埃及外交官。
### 26 日
* 謝爾頓・楚米爾，51 歲，加拿大律師和政治家。
* 何塞・費雷爾，80 歲，波多黎各演員和電影製片人
* 吉爾羅伊・羅伯茨，86 歲，美國雕塑家和鑄幣廠。
* 漢斯・舒爾茨，80 歲，德國水球運動員
### 27 日
* 約翰・奧爾康，56 歲，美國藝術家、設計師和插畫家
* 鮑里斯・阿拉波夫，86 歲，俄羅斯作曲家。
* 巴拉特・布山，71 歲，印度演員、編劇和製片人。
* 格溫・弗蘭康 - 大衛斯，101 歲，英國女演員
* 薩莉・穆加貝，60 歲，辛巴威活動家，第一夫人
* 亨麗埃特・馮・席拉赫 ，78 歲，德國作家，納粹政治家巴爾杜爾・馮・席拉赫的妻子。
* 比爾・沃克，95 歲，美國電視和電影演員，癌症。
### 28 日
* 阿爾維德・安德松 - 霍爾特曼，95 歲，瑞典體操運動員和奧運冠軍。
* 納赫曼・阿維加德，86 歲，以色列考古學家
* 漢斯・朗，83 歲，奧地利輕音樂、電影音樂和維也納歌曲作曲家
* 阿拉斯通・馬哈茂多夫，34 歲，亞塞拜然軍官和戰爭英雄
* 馬里法特・納西博夫，19 歲，亞塞拜然士兵和戰爭英雄
* 維克多・瓦西裡耶維奇・謝廖金，47 歲，亞塞拜然士兵和戰爭英雄
* 穆罕默德・阿里・亞利姆，62 歲，土耳其籃球運動員。
* 阿爾沃・伊爾波，104 歲，芬蘭醫生和學者。
### 29 日
* 邁克爾・希克斯・貝奇，79 歲，英國政治家。
* 諾爾・阿裡，77 歲，印尼伊斯蘭領袖和教育家。
* 威利・迪克森，76 歲，美國藍調音樂家
* 亞・薩默斯，90 歲，加拿大冰球運動員
### 30 日
* 弗朗西斯・伯奇，88 歲，美國地球物理學家，前列腺癌
* 埃德・泰勒，90 歲，美國棒球運動員
* 喬治・弗雷德里克・詹姆斯・坦普爾，90 歲，英國數學家
* 赫爾曼・特裡普利特，80 歲，美國棒球運動員。
* 奧利・巴肯，69 歲，加拿大前男子籃球運動員。 | [
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] |
1992年1月逝世人物列表 | ### 31 日
* 路德維希・蓋爾，87 歲，德國自行車運動員
* 梅爾・海因，82 歲，美式橄欖球運動員
* 馬丁・霍爾德，83 歲，德國電視和電影演員
* 沙爾克齊・伊什特萬，44 歲，匈牙利奧運足球運動員（1968 年）
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1992年5月逝世人物列表 | **1992 年 5 月逝世人物列表**，是用於匯總 1992 年 5 月期間逝世人物的列表。
## 依日期排序
### 1 日
* 奧古斯丁・奎瓦，54 歲，厄瓜多作家
* 海拉・哈米德，70 歲，德裔美國攝影師。
* 莎朗・雷德，46 歲，美國歌手
* 賈斯汀・斯坦，80 歲，美國棒球運動員
* 塞萊里諾・桑切斯，48 歲，墨西哥棒球運動員
### 2 日
* 斯特凡諾・達里戈，72 歲，義大利作家
* 特雷弗・哈瑟頓，67 歲，紐西蘭地球物理學家、科學管理員和南極科學家。
* 邁克・卡拉卡斯，80 歲，美國冰球運動員
* 斯特凡・基涅維茨，84 歲，波蘭歷史學家。
* 威爾伯・戴格・米爾斯，82 歲，美國政治家
* 凱爾・特雷曼，54 歲，紐西蘭橄欖球運動員。
* 瑪格麗特・瓦爾曼，87-90 歲，奧地利歌劇導演和芭蕾舞演員
### 3 日
* 維爾瑪・德吉舍爾，80 歲，奧地利戲劇和電影女演員
* 戈德曼・羅文，82 歲，加拿大 - 英國政治家。
* 喬治・墨菲，89 歲，美國政治家和演員，美國參議院議員（1965-1971）
### 4 日
* 肖恩・庫里，24 歲，美式橄欖球運動員，投籃。
* 奧古斯特・赫勒曼斯，84 歲，比利時足球運動員。
* 邁克爾・豪利特，77 歲，美國政治家
* 羅尼・諾克斯，57 歲，加拿大足球運動員
* 格雷戈爾・麥肯齊，64 歲，英國政治家。
* 林恩・馬歇爾，47 歲，英國瑜伽老師，芭蕾舞演員，女演員
* 湯瑪斯・O・潘因，70 歲，美國工程師和科學家
### 5 日
* 尤尼斯・阿利耶夫，33 歲，亞塞拜然士兵
* 埃德蒙多・阿馬蒂，72 歲，義大利電影製片人。
* 德爾・克勞森，78 歲，美國政治家
* 菲克萊特・哈吉耶夫，27 歲，亞塞拜然士兵
* 克里姆・克里莫夫，20 歲，亞塞拜然士兵
* 薩坎・奧賈維季耶夫，24 歲，亞塞拜然士兵
* 讓 - 克洛德・帕斯卡，64 歲，法國演員
* 讓・沃捷，81 歲，法國劇作家。
* 迪克・亞米，59 歲，美國演員
### 6 日
* 瑪蓮娜・迪特利希，90 歲，美國女演員
* 馬爾科姆・A・麥金泰爾，84 歲，美國律師及曲棍球運動員
* 加斯東・雷夫，71 歲，比利時男子田徑運動員
* 吉利里佐，75 歲，美國餐館老闆及藝人
* 塔蒂亞娜・葉塞尼娜，73 歲，蘇聯作家
### 7 日
* 納查塔・查克塔，32 歲，印度歌手 | [
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] |
1992年5月逝世人物列表 | * 基里爾・赫裡斯托夫，42 歲，保加利亞足球運動員
* 蘇莉普，70 歲，印尼歌手和電影女演員。
### 8 日
* 阿爾伯特・阿加魯諾夫，23 歲，亞塞拜然士兵
* 阿德克・亨德里克・博爾馬，80 歲，荷蘭公務員。
* 理查・德爾，74 歲，美國演員
* 古爾・穆罕默德，70 歲，巴基斯坦板球運動員。
* 謝爾蓋・奧布拉茲佐夫，90 歲，俄羅斯木偶師。
* 奧托・西馬內克，67 歲，捷克斯洛伐克演員。
### 9 日
* 埃爾南・博拉尼奧斯，80 歲，尼加拉瓜 - 哥斯大黎加足球運動員。
* 基思・比塞爾，80 歲，加拿大作曲家
* 湯姆・切塞爾，78 歲，澳大利亞賽艇運動員
* 卡米尼・洛姆巴多齊，79 歲，美國黑幫，甘比諾犯罪家族成員。
* 邁赫曼・薩亞多夫，19 歲，亞塞拜然士兵
### 10 日
* 埃吉爾・恩德雷森，72 歲，挪威法官和政治家。
* 約翰・隆德，81 歲，美國演員
* 維爾納・尼爾森，88 歲，挪威裔美國足球運動員。
* K.G. 拉馬勒坦，71 歲，印度數學家。
* 西爾維婭・西姆斯，74 歲，美國歌手
* 威拉德・朗・索普，92 歲，美國經濟學家
### 11 日
* 裘蒂思・布朗，60 歲，美國舞蹈家和雕塑家。
* 雷內・瓜哈爾多，59 歲，墨西哥職業摔跤手，肝癌。
* 洛麗泰・塞索・曼格魯姆，95 歲，美國鋼琴家和神聖音樂作曲家。
* 威廉・穆勒，91 歲，美國音響工程師。
* 柯蒂斯・D・薩默斯，62 歲，美國工程師和過山車設計師。
* 竹田恆德，83 歲，日本皇室成員，心臟病發作。
### 12 日
* 刁光覃，76 歲，中國話劇表演藝術家
* 喬伯克，68 歲，美國棒球行政人員
* 尼克斯・加索斯，80 歲，希臘詩人、翻譯家和作詞家
* 傑奎琳・麥倫，69 歲，法國女演員
* 赫克托・麥基弗，91 歲，澳洲政治家
* 鮑勃・米澤，70 歲，美國攝影師及電影製作人
* 萊尼・蒙太拿，66 歲，美國演員
* 羅伯特・里德，59 歲，美國演員
### 13 日
* 派翠克・安格斯，38 歲，美國愛滋病畫家。
* 吉塞拉・埃爾斯納，55 歲，德國小說家
* 斯坦・休吉爾，85 歲，英國民間音樂表演者。
* 達文・康，61 歲，韓裔美國電氣工程師和發明家。
* 萊昂・克拉茨金，77 歲，美國音樂編曲家、作曲家和指揮家。
* F.E 麥克威廉，83 歲，北愛爾蘭雕塑家 | [
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] |
1992年5月逝世人物列表 | * 萬達・魯特凱維奇，49 歲，波蘭登山者
* 巴特・佐特，49 歲，荷蘭自行車運動員
### 14 日
* 萊爾・阿爾扎多，43 歲，美國欖球運動員
* 羅伯特豪伊，93 歲，蘇格蘭欖球運動員
* 弗蘭克・M・卡斯滕，79 歲，美國政治家
* 聶榮臻，93 歲，中國政治家和軍事家。
### 15 日
* 湯米・科萊拉，73 歲，美國橄欖球運動員。
* 拉迪斯拉夫・德姆沙爾，63 歲，南斯拉夫籃球運動員和教練。
* 喬維・馬塞洛，27 歲，菲律賓賽車手，賽車事故。
* 巴特利特・穆林斯，87 歲，英國演員。
* 羅伯特・莫裡斯・佩奇，88 歲，美國物理學家
* 瓦倫蒂諾・佩拉里尼，72 歲，義大利男子籃球運動員。
* 吉諾・羅塞蒂，87 歲，義大利足球經理和足球運動員。
* 賈利勒・薩法羅夫，30 歲，亞塞拜然士兵
* 帕爾維茲・薩梅多夫，22 歲，亞塞拜然士兵
### 16 日
* 喬・希利，81 歲，美國跨欄運動員
* 瑪麗莎・梅爾，53 歲，奧地利女演員
* 埃里克・詹姆斯，魯索爾姆的詹姆斯男爵，83 歲，英國教育家。
* 查利諾・桑切斯，31 歲，墨西哥創作歌手，被謀殺。
* 羅伯特・格蘭傑・克爾・湯普森，76 歲，英國軍官和反叛亂專家。
### 17 日
* 羅伯特・布蘭克，47 歲，法國足球運動員。
* 喬治・赫瑞爾，87 歲，美國攝影師
* 威廉・艾維，72 歲，美國畫家，癌症。
* 熱利米爾・維多維奇，38 歲，波士尼亞足球運動員
* 勞倫斯・韋爾克，89 歲，美國音樂家和電視名人
### 18 日
* 傑克・萊克特，72 歲，美國橄欖球運動員。
* 朱利安尼・德內格裡，71 歲，義大利電影製片人和編劇。
* 賈斯珀・K・史密斯，86 歲，美國律師和政治家。
* 斯基普・史蒂芬森，52 歲，美國喜劇演員
* 馬歇爾・湯普森，66 歲，美國演員，心力衰竭。
### 19 日
* 埃絲特・阿維里爾，89 歲，美國作家。
* 阿爾弗雷德・麥克隆・李，85 歲，美國社會學家。
* 喬克・特納，48 歲，蘇格蘭橄欖球運動員。
* 漢斯・沃格特，81 歲，德國作曲家。
### 20 日
* 羅傑・基思・科爾曼，33 歲，美國被定罪的殺人犯
* 喬瓦尼・可倫坡，89 歲，羅馬天主教會義大利紅衣主教。
* 里拉・蘇曼特・莫爾高卡爾，75 歲，印度社會工作者。
* 詹姆斯・塔利，76 歲，愛爾蘭政治家。 | [
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1992年5月逝世人物列表 | * 艾麗西亞・韋格爾，64 歲，菲律賓女演員。
### 21 日
* 烏爾里克・科爾，86 歲，美國鋼琴家、編輯、音樂教育家和作曲家
* T.B. 伊蘭加拉特內，79 歲，斯裡蘭卡政治家、作家、劇作家和戲劇演員。
* 奧克・林德布洛姆，73 歲，瑞典體育射手
* 穆格斯・史坦伯，42 歲，美國登山家
### 22 日
* 托尼・阿卡多，86 歲，美國黑幫主腦
* 羅伊・塞爾茲，43 歲，美國政治散文家
* 伊麗莎白・大衛，78 歲，英國烹飪作家
* 丹・恩萊特，74 歲，美國電視製片人
* 澤利格・哈爾斯，82 歲，美國語言學家
* 亞伯拉罕・莫勒斯，71 歲，法國信息科學家
* 傑爾吉・蘭基，84 歲，匈牙利作曲家
* 約西夫・瓦爾加，50 歲，羅馬尼亞足球運動員
* 李良枝，37 歲，日本小說家
### 23 日
* 詹姆斯・布萊爾，82 歲，美國賽艇運動員
* 科斯塔斯・達沃利斯，44 歲，希臘足球運動員
* 喬瓦尼・法爾科內，53 歲，義大利法官，前司法部刑法司長
* 約翰・蓋茨，78 歲，美國共產主義政治家
* 查理・馬龍，81 歲，美國欖球運動員
* 弗朗西斯卡・莫爾維羅，46 歲，義大利法官
* 保羅・穆基拉，41 歲，剛果足球運動員
* 亨利・喬治・皮爾斯，74 歲，澳大利亞政治家
* 恩利特・普利舍克，88 歲，奧地利 - 紐西蘭建築師、城市規劃師和家居設計師
* 阿塔瓦爾帕・尤潘基，84 歲，阿根廷音樂家
### 24 日
* 讓・亞伯巴赫，81 歲，奧地利裔美國音樂出版商。
* 弗朗西斯・湯瑪斯・培根，87 歲，英國工程師。
* 路易士・埃薩，56 歲，巴西森巴舞和波薩諾瓦鋼琴家。
* 瓊・桑德森，79 歲，英國女演員。
### 25 日
* 丹尼・比亞松，83 歲，義大利裔美國體育主管。
* 圖利烏斯・德米切利，77 歲，阿根廷電影製片人
* 薩里・迪內斯，93 歲，匈牙利裔美國藝術家
* 維克托・格里申，77 歲，蘇聯政治家
* 菲力普・哈比卜，72 歲，美國外交官
* 吉塔・馬拉斯，84 歲，匈牙利藝術家
* 魯本・扎哈裡安，90 歲，俄羅斯畫家。
### 26 日
* 埃德蒙・貝洛因，82 歲，美國廣播、電影和電視作家
* 特倫斯・克拉克，88 歲，英國陸軍軍官和政治家。
* 多蘿塔・霍爾佐內克 - 約凱爾，58 歲，波蘭奧運會體操運動員
* 喬治・莫羅，66 歲，美國爵士貝斯手 | [
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] |
1992年5月逝世人物列表 | * 日內瓦・賽爾，80 歲，美國布萊恩學家和目錄學家。
### 27 日
* 長谷川町子，72 歲，日本漫畫家
* 彼得・詹金斯，58 歲，英國記者，呼吸衰竭
* 卡爾・萊澤，71 歲，德裔英國歷史學家
* 約翰・邁赫斯，70 歲，美國演員
* 黛利拉・皮爾斯，88 歲，美國藝術家、策展人和教育家。
* 唐納德・K・羅斯，81 歲，美國海軍軍官，心臟病發作。
* 弗朗茨・魯普，91 歲，德裔美國鋼琴家。
* 瓊恩・薩利納斯，74 歲，義大利女演員。
* 邁克爾・塔爾博特，38 歲，美國量子神秘主義者
### 28 日
* 里卡多・卡米諾斯，75-76 歲，阿根廷埃及學家
* 藤村富美男，75 歲，日本棒球運動員。
* 白虹，72 歲，中國歌手。
* 戈德弗洛德・穆農戈，66 歲，剛果政治家。
* 洛倫佐・塔納達，93 歲，菲律賓律師、民權宣導者和政治家。
### 29 日
* 奧利・哈爾索爾，43 歲，英國吉他手
* 森義利，93 歲，日本藝術家。
* 阿爾伯特・恩東莫，65 歲，喀麥隆天主教會主教
* 尼爾斯 - 奧克・桑德爾，65 歲，瑞典足球運動員和經理。
* 肯・蘇森斯，75 歲，美國籃球教練
* 彼得羅・烏多維琴科，78 歲，烏克蘭政治家和外交官。
### 30 日
* 卡爾・卡斯滕斯，77 歲，德國政治家
* 拉里・克雷格，75 歲，美國橄欖球運動員
* 克雷格・埃爾伍德，70 歲，美國現代主義建築師
* 井上光晴，66 歲，日本作家
* 詹姆斯・拉米，64 歲，美國雪橇運動員
* 埃莉・尤娜拉，68 歲，印尼電影演員
* 安東尼・齊格蒙德，91 歲，波蘭數學家
### 31 日
* 尤金・A・查皮，72 歲，美國政治家，美國眾議院議員（1981-1987）。
* 亨利・莫羅・梅德倫，89 歲，比利時政治家。
* 沃爾特・紐格鮑爾，71 歲，克羅埃西亞漫畫家和動畫師。
* 莉蓮・鮑威爾，96 歲，加拿大裔美國舞蹈家。
* 迪特爾・普舍爾，52 歲，德國自行車運動員。[注 106]
* 盧茨・斯塔文哈根，52 歲，德國政治家，肺炎。
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Light_dressed_state | **光綴飾態**（**Light dressed state**）在原子、分子和光學領域指的是一種原子或分子系統與雷射相互作用的量子態，依佛洛凱繪景，大致像是一個原子或一個分子加上一個光子，而佛洛凱繪景則是基於具有週期係數的微分方程中的弗洛凱定理。
## 數學公式
與雷射相互作用的帶電粒子系統的哈密頓量可以表示為
: $H=\sum _{i}{\frac {1}{2m_{i}}}\left[\mathbf {p} _{i}-{\frac {z_{i}}{c}}\mathbf {A(\mathbf {r} _{i},t)} \right]^{2}+V(\{\mathbf {r} _{i}\}),\ \ \ \ \ \ \ \ \ \ \ (1)$
$\mathbf {A} $ 是雷射電磁場的矢量勢； $\mathbf {A} $ 在時間上是週期性的 $\mathbf {A} (t+T)=\mathbf {A} (t)$ 。第 $i\,$ 顆粒子的位置和動量表示為 $\mathbf {r} _{i}\,$ 和 $\mathbf {p} _{i}\,$ ，質量和電荷分別表示為 $m_{i}\,$ 和 $z_{i}\,$ 。 $c\,$ 是光速。由於雷射場的這種時間週期性，總哈密頓量在時間上也是週期性的
: $H(t+T)=H(t)\,.$
對具有這種哈密頓量的薛丁格方程，
: $i\hbar {\frac {\partial }{\partial t}}\psi (\{\mathbf {r} _{i}\},t)=H(t)\psi (\{\mathbf {r} _{i}\},t)$
佛洛凱定理保證了其任意解 $\psi (\mathbf {r} ,t)$ 可表達為如下的形式
: $\psi (\{\mathbf {r} _{i}\},t)=\exp[-iEt/\hbar ]\phi (\{\mathbf {r} _{i}\},t)$
$\phi \,$ 與哈密頓量具有相同的時間週期性， $\phi (\{\mathbf {r} _{i}\},t+T)=\phi (\{\mathbf {r} _{i}\},t).$ 因此，這部分可以展開為傅立葉級數，得到 | [
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Light_dressed_state | : $\psi (\{\mathbf {r} _{i}\},t)=\exp[-iEt/\hbar ]\sum _{n=-\infty }^{\infty }\exp[in\omega t]\phi _{n}(\{\mathbf {r} _{i}\})\ \ \ \ \ \ \ \ \ \ \ (2)$
$\omega (=2\pi /T)\,$ 是雷射場的頻率。表達式 (2) 揭示了由哈密頓量 (1) 所支配的系統的量子態，可由一個實數 $E\,$ 及一個整數 $n\,$ 指定。
整數 $n\,$ 在式 (2) 中可看作是從雷射場吸收（或被發射至雷射場）的光子數。為了證明此說法而需闡明解（2）之間的對應關係，該解源自沒有光子概念的電磁場的經典表達式，以及源自量子化電磁場的解（參見量子場論）。（可以驗證 $n\,$ 等於在極限情形 $n\ll N\,$ 所吸收光子數的期望值 ， $N\,$ 是總光子的初始數量。 )
## 參考文獻
* Shirley, Jon H. Solution of the Schrödinger Equation with a Hamiltonian Periodic in Time. Physical Review. 1965, **138** (4B): B979–B987. Bibcode:1965PhRv..138..979S. ISSN 0031-899X. doi:10.1103/PhysRev.138.B979.
* Sambe, Hideo. Steady States and Quasienergies of a Quantum-Mechanical System in an Oscillating Field. Physical Review A. 1973, **7** (6): 2203–2213. Bibcode:1973PhRvA...7.2203S. ISSN 0556-2791. doi:10.1103/PhysRevA.7.2203. | [
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] |
Light_dressed_state | * Guérin, S; Monti, F; Dupont, J-M; Jauslin, H R. On the relation between cavity-dressed states, Floquet states, RWA and semiclassical models. Journal of Physics A: Mathematical and General. 1997, **30** (20): 7193–7215. Bibcode:1997JPhA...30.7193G. ISSN 0305-4470. doi:10.1088/0305-4470/30/20/020.
* Cardoso, G.C.; Tabosa, J.W.R. Four-wave mixing in dressed cold cesium atoms. Optics Communications. 2000, **185** (4–6): 353–358. Bibcode:2000OptCo.185..353C. ISSN 0030-4018. doi:10.1016/S0030-4018(00)01033-6.
* Guérin, S.; Jauslin, H. R. Control of Quantum Dynamics by Laser Pulses: Adiabatic Floquet Theory. 2003: 147–267. ISBN 9780471214526. ISSN 1934-4791. doi:10.1002/0471428027.ch3.
* F.H.M. Faisal, _Theory of Multiphoton Processes,_ Plenum (New York) 1987 ISBN 0-306-42317-0.
## 參見
* 量子力學
* 哈密頓量（量子力學） | [
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独特点 | 在非厄米量子力學中，**獨特點**（英語：Exceptional point）或稱為**優越點、奇異點、例外點**，是參數空間中的奇點。在這個點處，哈密頓量的兩個或多個本徵態（本徵能量和本徵向量）重合。 等效地，在這個點處若爾當標準型中投影和冪零元表現出不連續的變化。數學上獨特點的哈密頓量是不可對角化的或是缺失的， 也就是一個 n 階哈密頓量缺失矩陣的獨立特徵態會少於 n 個，就好像在這個點附近失去了維度。在耗散系統中哈密頓量為非厄米，其能譜一般在複平面上，所以允許獨特點的出現。物理上，獨特點的出現會伴隨代數奇點 (algebraic singularity， 也稱為分支點) 的出現。 上面所說的獨特點在實際中雖然是有用的，但以數學語言來說，只是更一般概念的第一類獨特點的特例。兩種不同類型獨特點的數學定義由 加藤敏夫 (Toshio Kato) 半個多世紀前首次引入， 其中第二類獨特點經常被忽視。 我們注意到這些數學上的定義通常比大多數物理學文獻討論的獨特點的概念更普遍。物理上，在獨特點附近量子態受外界影響的變化更加劇烈，這個性質可以應用在傳感器精度與敏感性的提高 或是應用在物理學的廣泛領域，如力學、原子和分子物理學、量子相變、甚至量子混沌。
## 第一和第二類獨特點
我們考慮 n × n 矩陣 $T(x)$ ，其中每個元素都是 $x$ 的復解析函數。不失一般性，
我們假設這些解析函數在原點的鄰域 $D_{0}$ 上良定義，因此我們可以將矩陣展開為 $T(x)=\sum _{p=0}^{\infty }x^{p}T_{p},\forall x\in D_{0}$ 。
設 $T(x)$ 的不同本徵值的個數為 $J$ ，則 $J$ 除若干離散點外在 $D_{0}$ 上應是一個常量整數。這些離散點定義為第一類獨特點，並發生簡併。 簡併在第一類獨特點上只會增加永遠不會減少。 一個例子是矩陣 $T(x)={\begin{bmatrix}0&1\\x&0\end{bmatrix}}$ 的本徵值為 ${\sqrt {x}}$ 和 $-{\sqrt {x}}$ 且是雙值函數的分支。在 $x=0$ 點處是第一類獨特點。 | [
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独特点 | 儘管如此，第二類獨特點其特徵不在於本徵值的合併，甚至可以是非典型的可對角化的點。矩陣 $T(x)={\begin{bmatrix}0&x\\0&0\end{bmatrix}}$ 是永久簡併的，且對所有 $x$ 本徵值為 0 。這裡沒有任何第一類獨特點。矩陣 $T(x)$ 的若爾當標準型為
: $T(x)=v(x){\begin{bmatrix}0&1\\0&0\end{bmatrix}}v(x)^{-1},v(x)={\begin{bmatrix}1&b\\0&x^{-1}\end{bmatrix}},$
其中 $b$ 是任意複數。顯然，在 $x=0$ 點處冪零元部分表現出奇異性，因此該點是第二類獨特點。
## 光子學
因為耗散是光子學中常見的特徵，所以光子學系統常用於研究非厄米物理學。 在有狄拉簡併點出現處的光子學系統中添加非厄米性（例如二色性）會將這個點轉換為一對獨特點。此現象已經在許多光子學系統中得到了實驗證明，例如微腔和光子晶體。 於 1902 年 Woldemar Voigt 在水晶中首次展示了獨特點的存在。
## 參見
* 狄拉克錐
* 非厄米量子力學
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狄拉克锥 | **狄拉克錐**以保羅狄拉克的名字命名，是一些材料的電子能帶結構中出現的特徵。這些材料包含了石墨烯和拓撲絕緣體，此特徵帶給材料不尋常的電子傳輸特性。 在這些材料中，在費米能級附近的能量下，價帶和導帶分別呈圓錐面的上半部分和下半部分，在所謂的**狄拉克點**處相交。
## 描述
在量子力學中，狄拉克錐描述 價帶和導帶的能量在二維晶格 k 空間中，除了零維狄拉克點所在的位置外，其他任何動量的價帶和導帶能量都不相等。由於是錐型，電傳導可以用無質量費米子的電荷載流子來描述，在理論上這種情況可由相對論性的狄拉克方程來處理。 無質量費米子可以導致各種奇異的量子霍爾效應、或是拓撲材料中的磁電效應和超高載流子遷移率。 在 2008-2009 年實驗上使用角分辨光電子能譜 (ARPES) 對鉀 - 石墨插層化合物 KC 8 和幾種鉍基合金的狄拉克錐進行了觀察。
狄拉克錐是二維材料 (像是單層石墨烯) 或拓撲絕緣體的表面態的特徵。狄拉克錐在材料中是線性色散關係，由能量與晶體動量的兩個分量 k x 和 k y 來描述。然而，這個概念可以擴展到三維材料，其中**狄拉克半金屬**由能量與 k x 、 k y 和 k z 的線性色散關係來定義。在動量空間中，色散關係為超圓錐體，它具有雙重簡併能帶，也在狄拉克點相交。 狄拉克半金屬同時包含時間反演對稱性和空間反演對稱性；當其中一個對稱性被破壞時，狄拉克點可以分裂成兩個外爾點，材料變成外爾半金屬。 在 2014 年，實驗上利用 ARPES 對狄拉克半金屬砷化鎘 的能帶結構進行了直接觀測。
## 模擬系統
已在許多物理系統實現狄拉克點，例如電漿體學、聲子學或奈米光子學（微腔、 光子晶體 ）。
## 參看
* 狄拉克物質
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非厄米量子力学 | PT 對稱性最初是被當作**非厄米量子力學**中的一個特殊系統而進行研究的， 此時哈密頓量不是厄米的。 在 1998 年，物理學家 Carl Bender 和他前研究生 Stefan Boettcher 在 _Physical Review Letters_ 上發表了一篇量子力學論文「具有 PT 對稱性的非厄米哈密頓量的實光譜」。 在本文中，作者發現具有 PT 對稱性（需要宇稱反轉和時間反演對稱算子同時作用的不變性）的非厄米哈密頓量也可能擁有實數譜 (否則非厄米哈密頓量能譜一般是複數)。在正確定義的內積下，PT 對稱哈密頓量的本徵函數具有正範數並表現出酉時間演化，滿足量子理論的要求。 Bender 因這個工作獲得了 2017 年 Dannie Heineman 數學物理獎。
一個與非厄米量子力學密切關聯的概念是贗厄米算子，物理學家 Dirac、 Pauli、 以及 Lee 和 Wick 曾考慮了這一概念。 贗厄米算子被數學家 Kerin 等人幾乎同時發現（或可以說是重新發現） ，當他們研究作為線性動力系統中的 G-Hamiltonian。這裡 pseudo-Hermiticity 和 G-Hamiltonian 之間的等價性很容易建立。
在 2002 年，阿里・穆斯塔法扎德 (Ali Mostafazadeh) 表明，每個具有實譜的非厄米哈密頓算子都是贗厄米算子。他發現可對角化的 PT 對稱非厄米哈密頓量都屬於贗厄米哈密頓量。 然而，這個結果沒有太大的幫助，因為基本上有趣的物理現象都發生在獨特點處，而在這點處的不可被對角化哈密頓量是缺失的， 也就是一個 n 階哈密頓量缺失矩陣的獨立特徵態會少於 n 個。最近證明，在有限維數中，不管是否可以被對角化，PT 對稱性需要贗厄米性。 這表明在獨特點處 PT 對稱性破缺的機制，也就是説在這個點處，兩個具有相反符號的本徵模態之間發生 Kerin 碰撞。 | [
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] |
非厄米量子力学 | 2005 年，Gonzalo Muga 的研究組將 PT 對稱性的概念引入了光學領域，指出 PT 對稱性對應於增益和損耗的平衡。 在 2007 年，物理學家 Demetrios Christodoulides 和他的合作者進一步研究了 PT 對稱性在光學中的意義。 接下來的幾年在被動和主動系統中， PT 對稱性也被實驗首次展現。 此外 PT 對稱性的概念也被應用於經典力學、超材料、電路和核磁共振。 在 2017 年， Dorje Brody 和 Markus Müller 提出了一個「形式上滿足希爾伯特 - 波利亞猜想的條件」的具有 PT 對稱的非厄米哈密頓量。
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理查·菲尔德 | **理查・菲爾德**（英語：Richard D. Field，1943 年 4 月 13 日 —），是佛羅里達大學物理學名譽教授。 他因對高能粒子加速器粒子產生現象學的貢獻而聞名。
## 教育和個人生活
菲爾德出生於加利福尼亞州帕薩迪納，是女演員瑪格麗特・菲爾德和陸軍軍官理察・德萊登・菲爾德的兒子。他是演員 / 特技演員 Jock Mahoney 的繼子。他的妹妹是獲得奧斯卡金像獎的女演員莎莉菲爾德。理查・菲爾德獲得了加州大學伯克利分校的物理學學士學位，獲得了體操獎學金， 並於 1971 年在約翰・大衛・傑克遜 (John David Jackson) 的指導下繼續攻讀博士學位。
## 研究
1971 年起在布魯克海文國家實驗室從事博士後工作。 1973 年，他移居加州理工學院，與諾貝爾獎獲得者理查・費曼一起工作。正是在那裡，他完成了他被引用最多的工作，產生了「Field-Feynman」蒙特卡洛，用於比較不同粒子加速器環境中夸克和膠子分裂產生的可觀察粒子的產生。這項工作中的兩篇論文 每篇都被引用超過 1000 次，至今仍被引用。
在此期間，他擔任計算機科學家 / 物理學家 Stephen Wolfram 的博士論文導師，Stephen Wolfram 是 Wolfram Research 的執行長，在他的學生時代被認為是物理學神童。 1981 年，菲爾德以教授的身份移居佛羅里達大學，後來成為名譽教授。
## 榮譽
1987 年他因「對量子色動力學理論於夸克和膠子至強子對撞之間的應用、以及發展部分子裂變的概念」而當選美國物理學會院士。
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] |
查尔斯·H·本内特 | **查爾斯・H・本內特**（英語：Charles Henry Bennett，1943 年 —）是一位物理學家和資訊理論理論家，IBM 研究院院士，研究方向為量子計算機和細胞自動機，曾獲沃爾夫物理學獎和克勞德・E・香農獎。
## 參考文獻
## 外部連結
* Academic biography at Infoamerica.org
* Charles Bennett's page at IBM site
* _The Quantum Pontiff_ blog | [
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科技人才入境計劃 | **科技人才入境計劃**（英語：Technology Talent Admission Scheme (TechTAS)）是香港特別行政區政府實現香港成為國際創新科技中心的願景，輸入科技人才到香港從事研發工作的安排，相較其他工作簽證，該計劃可以快速處理有關申請。公司若從事先進通訊技術、人工智慧、生物科技、網絡安全、數據分析、數碼娛樂、金融科技、綠色科技、集成電路設計、物聯網、材料科學、微電子、量子技術或機器人技術範疇的研發工作，便符合申請資格。
該計劃於 2018 年 6 月 25 日開始推行。香港特區行政長官李家超於 2022 年施政報告宣布優化「科技人才入境計劃」，自同年 12 月 28 日起，計劃撤銷聘用本地僱員的要求、延長配額有效期及涵蓋更多新興科技範疇。
## 申請資格
1. 國籍：不得為 阿富汗、 古巴、 寮國、 北韓、 尼泊爾、 越南
2. 領域：主要從事先進通訊技術、人工智慧、生物科技、網絡安全、數據分析、數碼娛樂、金融科技、綠色科技、集成電路設計、物聯網、材料科學、微電子、量子技術或機器人技術範疇的研發工作
3. 學歷：持有倫敦時報高等教育世界大學排名榜、QS 世界大學排名、美國新聞與世界報道世界大學排名及上海交通大學世界大學學術排名最新公布與 STEM 相關的排行榜上首 100 間大學的學士及以上學位，良好的技術資格、經證明的專業能力或備有文件證明的有關經驗和成就，亦可獲考慮
4. 工作經驗：持有碩士或博士學位者無需工作經驗，而持有學士學位者則須具備最少一年在相關科技範疇的工作經驗
5. 良好品行：入境和保安規定，沒有任何犯罪或不良記錄
6. 聘用要求：確實有該職位空缺，全職僱員，符合創新科技署發出的獲發配額通知書上就相關職位列明的特定條件
7. 收入要求：薪酬應不低於香港類似職位現時的市場薪酬水平
8. 配額：聘用公司獲創新科技署批出有效配額，申請配額公司須確認聘用相關本地科技人才有確實困難
9. 內地許可（如適用）：居於 中國大陸、 香港和 澳門的內地居民需額外提交現時工作單位或內地有關機關簽發的赴港工作同意書
非本地教學職員並不符合計劃要求。
## 逗留條件
### 逗留條件
申請人以僱傭工作身份在港逗留，只可從事入境事務處處長所批准的工作。 | [
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] |
科技人才入境計劃 | 如要轉換工作，必須事先得到入境處處長的批准。如新聘用公司有「科技人才入境計劃」下的有效配額，可根據該計劃向入境事務處申請工作簽證，倘若公司沒有有效配額，有關人士應根據一般就業政策或輸入內地人才計劃遞交新申請。
如在續簽時轉換至頂尖人才類別，則逗留條件更改為只受逗留期限而不受其他逗留條件的限制。
### 逗留期限
根據科技人才入境計劃獲准來港的人士，一般首次入境可獲准在港逗留 36 個月或僱傭合約期限的較短者，其後須繼續符合申請資格方可延期逗留。如延長逗留期限獲批准，申請人第一次通常會獲准逗留 3 年或僱傭合約期限的較短者，第二次及之後通常會獲准逗留 2 年或僱傭合約期限的較短者。如申請人已根據該計劃獲准在港逗留不少於兩年及在上一評稅年度的薪俸稅應評稅入息達港幣 200 萬元或以上，則一般會獲准延期逗留五年。
## 統計數字
## 參見
* 各國移民數列表
* 香港居民
* 香港身份證
* 一般就業政策
* 輸入內地人才計劃
* 優秀人才入境計劃
* 符號清單
* 高端人才通行證計劃
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约翰·伦纳德-琼斯 | **約翰・愛德華・蘭納 - 瓊斯**爵士，KBE，FRS（英語：Sir **John Edward Lennard-Jones**，1894 年 10 月 27 日 —1954 年 11 月 1 日），英國數學家、理論物理學家。他被認為是計算化學和理論化學的先驅和主要奠基人之一。
## 生平簡介
蘭納 - 瓊斯本姓瓊斯（Jones），1894 年生於 10 月 27 日生於利，1915 年畢業於曼徹斯特大學，獲數學一等榮譽學位。1915 年 - 1918 年，他在第一次世界大戰期間服役於英國皇家飛行隊。戰後繼續就讀於曼徹斯特大學，1922 年獲理學博士學位。1922-1924 年間，他在拉爾夫・福勒指導下於劍橋大學三一學院攻讀第二博士學位。1925 年，他與凱薩琳・瑪麗・蘭納（Kathleen Mary Lennard）結婚，並在婚後將妻子的姓氏冠於本姓之前，改姓蘭納 - 瓊斯（Lennard-Jones）；後與妻子育有一子一女。
1925 年 - 1932 年，蘭納 - 瓊斯於布里斯托大學任理論物理學教授，1930 年起任布里斯托大學理學院院長。1932 年起，蘭納 - 瓊斯供職於劍橋大學，任理論化學教授，建立了劍橋大學化學實驗室的理論化學研究梯隊，並於 1937 年任劍橋大學數學實驗室（後組建為劍橋大學計算機科學系）首任主任。在劍橋期間，他還於 1933 年當選為英國皇家學會會士。
第二次世界大戰期間，蘭納 - 瓊斯於 1939 年借調至英國供應部工作，組建了彈道學計算數學家團隊，並自 1942 年起先後擔任英國供應部、科學工業研究部科學顧問等職。
1946 年，戰爭結束後，蘭納 - 瓊斯返回劍橋大學工作，並於同年獲封大英帝國爵級司令勛位（KBE）。1948-1950 年，蘭納 - 瓊斯任英國法拉第學會主席。1953 年，蘭納 - 瓊斯因將量子力學應用於化合價理論和化合物結構分析獲頒戴維獎章。同年，他離開劍橋，轉任北斯塔福德郡大學學院（今基爾大學）校長。1954 年，獲牛津大學榮譽理學博士學位。同年 11 月 1 日，蘭納 - 瓊斯於特倫特河畔斯托克逝世，終年 60 歲。
## 學術成就
蘭納 - 瓊斯一生的學術著述不多，但頗具影響力。他在原子分子結構、化學鍵理論、液體性質、表面催化等方面有重要建樹，並在理論化學和量子化學方面做了開創性工作。 | [
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约翰·伦纳德-琼斯 | 蘭納 - 瓊斯最廣為人知的兩項成果均發表在供職於布里斯托期間。1929 年，他在論文中首次提出用原子軌道線性組合（LCAO）方法求解分子軌道；1931 年，他提出了適用於惰性氣體原子之間的描述分子間色散能和排斥能與作用距離的近似數值模型，即蘭納 - 瓊斯勢。
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恩斯特·鲁斯卡中心 | **恩斯特・魯斯卡電子顯微鏡和光譜學中心**（The Ernst Ruska-Centre for Microscopy and Spectroscopy with Electrons, 簡稱 ER-C）是於利希研究中心的研究所之一，於利希研究中心隸屬於德國亥姆霍茲聯合會。恩斯特・魯斯卡中心有三個分支： ER-C-1 「_奈米系統物理學_」， ER-C-2 「_材料科學與工程_」和 ER-C-3 「_結構生物學_」。
ER-C 由於利希研究中和亞琛工業大學協同管理，運營著一個德國和國際用戶綜合平台，為大學、研究機構和工業界提供先進的儀器、方法和專業知識。
ER-C 的主要目標是電子顯微學相關的基礎研究，致力於在物理、化學和生物學領域發展電子顯微學方法，將高解析度透射電子顯微學（HRTEM）和掃描透射電子顯微學（STEM）應用在其中。
## 歷史
2004 年 1 月 27，ER-C 由亞琛工業大學時任校長 Burkhard Rauhut 和於利希研究中心主席 Joachim Treusch 簽署成立合同。2006 年 5 月 18 日，在 ER-C 成員和國際電子顯微學會代表的見證下正式開放。2017 年 1 月 1 日，ER-C 成為於利希研究中的獨立研究機構。現在，作為德國聯邦教育和研究部 (BMBF)「研究基礎設備藍圖」的一部分，ER-C 正在進一步擴建，名稱為 ER-C 2.0。由此，ER-C 激勵使用新材料的公司，使他們能夠在褐煤地區 Rhenish 落戶，並為創新材料和技術能力區域的形成做出貢獻，從而促進能源結構變革。
## 設備資源
ER-C 在電子顯微學領域發展新方法和新技術，尤其聚焦固態材料、軟材料和生物系統的超高解析度技術。ER-C 擁有傳統和先進電子顯微鏡，如標準掃透電鏡，高度專業化的像差校正設備，可以獲得亞埃級解析度的結構成像和光譜學，以及用相位差技術定量分析電磁場分布，例如離軸電子全息和 4D-STEM。目前，ER-C 擁有 7 台具有像差校正功能的電鏡。
2012 年 2 月 29 日，歐洲第一台同時配備了球差和色差校正器的電鏡在 ER-C 投入運行，設備型號命名為 PICO，它能達到 50 皮米的空間解析度和 1 皮米的精度，以精確定位材料中原子的位置。它還配備了單色儀、雙稜鏡、EELS 光譜儀和直接電子計數檢測器。 | [
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] |
恩斯特·鲁斯卡中心 | 原位定量測量電磁場可以通過一撞球差校正透射電鏡實現，它具有 11 毫米之大的物鏡極靴、兩個雙稜鏡和直接電子技術檢測器。方法和技術的發展也在這台電鏡上實現，例如超高真空內的樣品轉移、雷射輻照、原位磁化和低溫實驗。
隨著最新一代設備的安裝和運行，冷凍電子顯微鏡現在也是 ER-C 的一個重要組成部分，包括賽默飛的 Titan Krios G4 300 kV （從 2021 年夏季開始運行）和配備了 Gatan Bioquantum K3 相機。
外部用戶可通過 ER-C 用戶辦公室訪問這些設備。
## 研究項目
ER-C 的三個分支機構的研究領域為：
1. ERC-1 （頁面存檔備份，存於網際網路檔案館）（凝聚態物理和化學）：電子陶瓷和奈米電子氧化物、綠色計算材料、電磁場成像、電子光學和方法發展、金屬合金和晶體生長、催化、奈米製造和量子檢測、掃描隧道顯微鏡和光譜學以及動量分辨掃描透射電子顯微鏡。
2. ERC-2 （頁面存檔備份，存於網際網路檔案館） （材料科學與工程）：氣體分離膜、電池材料、非揮發性存儲介質和高性能鋼。
3. ERC-3 （頁面存檔備份，存於網際網路檔案館） （結構生物學）：冷凍電子顯微鏡（cryo-EM），使用單粒子和斷層掃描方法研究膜生物過程自噬和內吞作用。
## 官方網站
* 恩斯特・魯斯卡電子顯微鏡和光譜學中心 (ER-C) （頁面存檔備份，存於網際網路檔案館）
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] |
量桨 | **量槳**是百度量子計算研究所研發的全球首個雲量一體的量子機器學習平台，它支持量子神經網絡的搭建和訓練，提供量子化學、量子模擬、組合優化等功能。首次發布於 2020 年 5 月 WAVE SUMMIT 2020 深度學習開發者峰會。
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勃格留波夫變換 | 在理論物理中，**Bogoliubov 變換**，又稱 **Bogoliubov-Valatin 變換**，是 1958 年由 Nikolay Bogolyubov 和 John George Valatin 各自為了求 BCS 理論在均勻系統中的解而獨立發展起來的。 Bogoliubov 變換是對正則對易關係或正則反對易關係代數的同構。 Bogoliubov 變換通常用於對角化哈密頓量，從而產生相應薛丁格方程的穩態解。 Bogoliubov 變換對於理解安魯效應、霍金輻射、核物理中的配對效應以及許多其他主題也很重要。
Bogoliubov 變換通常用於對角化哈密頓量，_並_相應地對波函數進行變換。因此，在變換後的波函數上使用對角化哈密頓量計算的算子特徵值與之前相同。
## 單玻色子模式案例
考慮簡諧振子中玻色子產生和湮滅算符的正則對換關係
: $\left[{\hat {a}},{\hat {a}}^{\dagger }\right]=1.$
對於常複數 $u$ 和 $v$ ，定義一對新的運算符
: ${\hat {b}}=u{\hat {a}}+v{\hat {a}}^{\dagger },$
: ${\hat {b}}^{\dagger }=u^{*}{\hat {a}}^{\dagger }+v^{*}{\hat {a}},$
其中後者是第一個的厄米共軛。
Bogoliubov 變換是映射 ${\hat {a}}$ 和 ${\hat {a}}^{\dagger }$ 到 ${\hat {b}}$ 和 ${\hat {b}}^{\dagger }$ 的一種正則變換。為了使得變換是正則的，可以去算對易子從而找到常數 $u$ 和 $v$ 滿足的條件，即，
: $\left[{\hat {b}},{\hat {b}}^{\dagger }\right]=\left[u{\hat {a}}+v{\hat {a}}^{\dagger },u^{*}{\hat {a}}^{\dagger }+v^{*}{\hat {a}}\right]=\cdots =\left(|u|^{2}-|v|^{2}\right)\left[{\hat {a}},{\hat {a}}^{\dagger }\right].$
那麼很明顯 $|u|^{2}-|v|^{2}=1$ 是轉換能成立的條件。
由於此條件的形式與雙曲恆等式所契合 | [
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勃格留波夫變換 | : $\cosh ^{2}x-\sinh ^{2}x=1,$
常數 $u$ 和 $v$ 可以很容易地參數化為
: $u=e^{i\theta _{1}}\cosh r,$
: $v=e^{i\theta _{2}}\sinh r.$
這一變換可以被解釋為相空間的線性辛變換。通過與 Bloch-Messiah 分解比較，兩個相位角 $\theta _{1}$ 和 $\theta _{2}$ 對應於正交辛變換（即旋轉），而壓縮因子 $r$ 對應於對角變換。
### 應用
Bogoliubov 變換最重要的應用自然是 Nikolai Bogoliubov 本人討論的超流背景下的問題。 其他應用包括哈密頓量和反鐵磁性理論中的激發。此外，彎曲時空中的量子場論的真空定義發生變化，而這些不同真空之間也可以通過 Bogoliubov 變換來嘗試聯繫。這在霍金輻射的推導中有用到。 Bogoliubov 變換也廣泛用於量子光學，特別是在處理高斯態的么正變換（例如分束器、移相器和壓縮操作）時。
## 費米子模式
對於反對易關係
: $\left\{{\hat {a}},{\hat {a}}\right\}=0,\left\{{\hat {a}},{\hat {a}}^{\dagger }\right\}=1,$
Bogoliubov 變換受限於 $uv=0,|u|^{2}+|v|^{2}=1$ 。因此，唯一不平凡的可能性是 $u=0,|v|=1$ ，其對應於可能包含相移的粒子 - 反粒子交換（或多體系統中的粒子 - 空穴交換）。因此，對於單個粒子，Bogoliubov 變換隻能在 (1) 狄拉克費米子中實現，其粒子和反粒子是不同的（與馬約拉納費米子或手性費米子相反），或 (2) 對於多費米子系統，在其中有不止一種類型的費米子。
### 應用 | [
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勃格留波夫變換 | 這裡面最重要的應用還是 Nikolai Bogoliubov 本人的針對 BCS 超導理論的推導。 這裡必須要做 Bogoliubov 變換的原因主要是在平均場近似下，系統的哈密頓量可以寫為原始產生和湮滅算符的雙線性項 $\langle a_{i}^{+}a_{j}^{+}\rangle $ 之和，從而必須比通常的 Hartree–Fock 方法更進一步。特別地，在具有超導配對項的平均場 Bogoliubov–de Gennes 哈密頓 $\Delta a_{i}^{+}a_{j}^{+}+{\text{h.c.}}$ 里，Bogoliubov 變換給出 $b,b^{\dagger }$ 來湮滅或產生准粒子（每個准粒子都具有明確定義的能量、動量和自旋，但其實際上對應於電子和空穴態的量子疊加的形式），而變換的具體系數 $u$ 和 $v$ 由 Bogoliubov–de Gennes 矩陣的特徵向量給出。同樣在核物理中，因為它可以描述重元素中核子的「配對能量」，這種方法也是適用的。
## 多模案例
接下來所考慮的希爾伯特空間是描述更高維的量子諧振子的空間（通常是無限維的）。
相應哈密頓量的基態被所有的湮滅算子湮滅：
: $\forall i\qquad a_{i}|0\rangle =0.$
所有激發態都由一些產生算符作用在基態的態的線性組合獲得：
: $\prod _{k=1}^{n}a_{i_{k}}^{\dagger }|0\rangle .$
可以做線性變換重新定義創建和湮滅算符：
: $a'_{i}=\sum _{j}(u_{ij}a_{j}+v_{ij}a_{j}^{\dagger }),$
其中係數 $u_{ij},v_{ij}$ 必須滿足一定的規則才能保證湮滅算符和生成算符 $a_{i}^{\prime \dagger }$ ，由 Hermitian 共軛給出，具有相同的玻色子的對於關係或費米子反對易關係。
上面的等式定義了算子的 Bogoliubov 變換。
被所有 $a'_{i}$ 作用都等於零的基態不同於原來的基態 $|0\rangle $ 。這裡可以認為是算符或者量子態，二者其一進行了 Bogoliubov 變換。它們也可以定義為壓縮態。 BCS 波函數是費米子壓縮相干態的一個例子。
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] |
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