What is Dirac equation?
{{no sources|date=August 2024}} The '''Dirac equation''' is an [[equation]] from [[quantum mechanics]]. [[Paul Dirac]] formulated the equation in 1928. The equation describes the behaviour of [[fermion]]s (e.g. [[electron]]s and [[quark]]s), and takes [[special relativity]] into account. The equation showed the existence of [[antimatter]]. *It does not change in [[Lorentz transformation]]. This means it is a [[differential equation]] of the same order in space and time. *The [[Pauli equation]] can be derived from a special case of the equation *It predicts the existence of [[antimatter]] particles, with the same [[mass]] and spin, but with the opposite charge. In 1931, Dirac predicted the existence of [[positron]]s, one year before the particles were found in an [[experiment]]. *It explains why the spin of the electrons in the [[Stern–Gerlach experiment]] acts like a [[magnet]], which splits the silver atoms according to their spin. *The [[differential operator]] used in a special form of the equation is very important for [[differential geometry]] *Dirac Equation also explains the behaviour of electron in two-dimensional [[Graphene]] sheet where the electron is set free due to the lack of interaction between elections thus making the electron behave massless. {{physics-stub}} [[Category:Quantum mechanics]]