text: ## Double derivative [ENDORSED]
  
  $H_{\psi }=E_{\psi }$
  
  1-D: $E_{TOTAL}\psi (x)=E_{k}\psi (x)+V(x)\psi(x)=-\frac{h^{2}}{8\pi ^{2}m}\frac{d^{2}\psi(x)}{dx^{2}}+V(x)\psi(x)$
  
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  Ruohan Sun 3I
  Posts: 19
  Joined: Fri Sep 29, 2017 7:07 am
  
  ### Double derivative
  
  What does double derivative mean?
  
  Dylan Davisson 2B
  Posts: 50
  Joined: Thu Jul 27, 2017 3:00 am
  Been upvoted: 2 times
  
  ### Re: Double derivative  [ENDORSED]
  
  A double derivative would be the derivative of the derivative of a function. So, it's basically telling you the rate of change that something is changing.
  
  For example, for a function of displacement, velocity would be its derivative (change of displacement over time), and acceleration would be its double derivative (change of velocity over time).
  
  I don't know the context for this question, but I hope this helps a little.
  
  Hellen Truong 2J
  Posts: 50
  Joined: Sat Jul 22, 2017 3:00 am
  Been upvoted: 1 time
  
  ### Re: Double derivative
  
  For the wave function, the double derivative helps you understand how either side is related to each other. Because psi is returned on the right side after the equation is performed, you can relate this concept to the way (for example) sinx would return -sinx after you derive it twice. Though the original sinx and the new -sinx are opposite in sign, the original function still comes back, similar to how it does in Schrodinger's equation.
  
  Minie 1G
  Posts: 63
  Joined: Fri Sep 29, 2017 7:04 am
  
  ### Re: Double derivative
  
  A double derivative is the same as a second derivative. Find the derivative of your function. Then, take another derivative -> you now have a double derivative.
  
  Return to “*Shrodinger Equation”
  
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explanation: The document is a discussion thread from a chemistry forum, where a user asks about the meaning of a double derivative in the context of the Schrödinger equation. Multiple users provide explanations and context for the concept of a double derivative.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: ## Double derivative [ENDORSED]
  
  $H_{\psi }=E_{\psi }$
  
  1-D: $E_{TOTAL}\psi (x)=E_{k}\psi (x)+V(x)\psi(x)=-\frac{h^{2}}{8\pi ^{2}m}\frac{d^{2}\psi(x)}{dx^{2}}+V(x)\psi(x)$
  
  Moderators: Chem_Mod, Chem_Admin
  
  Ruohan Sun 3I
  Posts: 19
  Joined: Fri Sep 29, 2017 7:07 am
  
  ### Double derivative
  
  What does double derivative mean?
  
  Dylan Davisson 2B
  Posts: 50
  Joined: Thu Jul 27, 2017 3:00 am
  Been upvoted: 2 times
  
  ### Re: Double derivative  [ENDORSED]
  
  A double derivative would be the derivative of the derivative of a function. So, it's basically telling you the rate of change that something is changing.
  
  For example, for a function of displacement, velocity would be its derivative (change of displacement over time), and acceleration would be its double derivative (change of velocity over time).
  
  I don't know the context for this question, but I hope this helps a little.
  
  Hellen Truong 2J
  Posts: 50
  Joined: Sat Jul 22, 2017 3:00 am
  Been upvoted: 1 time
  
  ### Re: Double derivative
  
  For the wave function, the double derivative helps you understand how either side is related to each other. Because psi is returned on the right side after the equation is performed, you can relate this concept to the way (for example) sinx would return -sinx after you derive it twice. Though the original sinx and the new -sinx are opposite in sign, the original function still comes back, similar to how it does in Schrodinger's equation.
  
  Minie 1G
  Posts: 63
  Joined: Fri Sep 29, 2017 7:04 am
  
  ### Re: Double derivative
  
  A double derivative is the same as a second derivative. Find the derivative of your function. Then, take another derivative -> you now have a double derivative.
  
  Return to “*Shrodinger Equation”
  
  ### Who is online
  
  Users browsing this forum: No registered users and 0 guests
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document is a discussion thread from a chemistry forum, where a user asks about the meaning of a double derivative in the context of the Schrödinger equation. Multiple users provide explanations and context for the concept of a double derivative.
  
  Label: question-and-answer