Gauge transformation through an accelerated frame of reference

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Shukla, Ashish
Bhattacharya, Kaushik
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Abstract
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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.
Comment: 7 Pages, Latex file
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Quantum Physics, General Relativity and Quantum Cosmology, High Energy Physics - Theory
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