Gauge transformation through an accelerated frame of reference
Quantum Physics
2015-05-13 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Abstract
The Schr\"{o}dinger equation of a charged particle in a uniform electric field can be specified in either a time-independent or a time-dependent gauge. The wave-function solutions in these two gauges are related by a phase-factor reflecting the gauge symmetry of the problem. In this article we show that the effect of such a gauge transformation connecting the two wave-functions can be mimicked by the effect of two successive extended Galilean transformations connecting the two wave-function. An extended Galilean transformation connects two reference frames out of which one is accelerating with respect to the other.
Cite
@article{arxiv.0908.1276,
title = {Gauge transformation through an accelerated frame of reference},
author = {Ashish Shukla and Kaushik Bhattacharya},
journal= {arXiv preprint arXiv:0908.1276},
year = {2015}
}
Comments
7 Pages, Latex file