- #1
nembokid
- 4
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The Schrodinger equation with the minimal coupling to the Electromagnetic field, in the Coulomb gauge [tex]\nabla \cdot A [/tex], has a continuity equation [tex]\partial_t \rho = \nabla \cdot j[/tex] where [tex] j \propto Re[p^* D p] [/tex] (D is the covariant gradient [tex] D= \nabla + iA [/tex].
My question is: is there any continuity equation which generalized the preceding one, without having to fix the Coulomb gauge? I think that, being the Schrodinger equation nonrelativistic, a choice of a noncovariant gauge is necessary, but maybe some ugly-to-see equation still exists.
thank you
My question is: is there any continuity equation which generalized the preceding one, without having to fix the Coulomb gauge? I think that, being the Schrodinger equation nonrelativistic, a choice of a noncovariant gauge is necessary, but maybe some ugly-to-see equation still exists.
thank you