Gauge transformation through an accelerated frame of reference

Ashish Shukla; Kaushik Bhattacharya

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Gauge transformation through an accelerated frame of reference

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arxiv 0908.1276 v1 pith:LWRL3S67 submitted 2009-08-10 quant-ph gr-qchep-th

Ashish Shukla , Kaushik Bhattacharya This is my paper · ORCID

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keywords gaugetransformationconnectingeffectextendedgalileanreferencewave-function

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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.

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