Saturday, 1 December 2018

quantum mechanics - Lorentz force in Dirac theory and its classical limit


It is well known that in Dirac theory the time derivative of Pi=pi+Ai operator (where pi=/i, Ai - EM field vector potential) is an analogue of the Lorentz force:



dPidt=e(Ei+[v×B]i)


On the other hand, in classical theory we have the same equation for pi instead of Pi. How comes that the effect of Ai in Dirac theory vanishes in the classical limit?




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