Is an Electromagnetic Extension of the Schroedinger Equation Possible?

Details Is an Electromagnetic Extension of the Schroedinger Equation Possible? Is an Electromagnetic Extension of the Schroedinger Equation Possible?

1997-10-02

arxiv.org/abs/quant-ph/9710011v2

Physics

Quantum Physics

Latex, 5 pages, the list of references updated

Scientific paper

The idea of equivalence of the free electromagnetic phase and quantum-mechanical one is investigated in an attempt to seek modifications of Schr\"{o}dinger's equation that could realize it. It is assumed that physically valid realizations are compatibile with the U(1)-gauge and Galilean invariance. It is shown that such extensions of the Schr\"{o}dinger equation do not exist, which also means that despite their apparent similarity the quantum-mechanical phase is essentially different from the electromagnetic one.

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