Is an Electromagnetic Extension of the Schroedinger Equation Possible?
Quantum Physics
2007-05-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.quant-ph/9710011,
title = {Is an Electromagnetic Extension of the Schroedinger Equation Possible?},
author = {Waldemar Puszkarz},
journal= {arXiv preprint arXiv:quant-ph/9710011},
year = {2007}
}
Comments
Latex, 5 pages, the list of references updated