Wave mechanics without gauge fixing

A. M. Stewart

doi:10.1016/S0166-1280(02)00718-2

Wave mechanics without gauge fixing

A. M. Stewart^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

By using the multipolar gauge it is shown that the quantum mechanics of an electrically charged particle moving in a prescribed classical electromagnetic field (wave mechanics) may be expressed in a manner that is gauge invariant, except that the only gauge functions that are allowable in a gauge transformation are those that consist of the sum of a function that depends only on the space coordinates and a term that is the product of a constant and the time coordinate. The multipolar gauge specifies the specific set of potentials that are best suited for use in the Schroedinger equation.

Original language	English
Pages (from-to)	47-51
Number of pages	5
Journal	Journal of Molecular Structure: THEOCHEM
Volume	626
Issue number	1-3
DOIs	https://doi.org/10.1016/S0166-1280(02)00718-2
Publication status	Published - 30 May 2003

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AB - By using the multipolar gauge it is shown that the quantum mechanics of an electrically charged particle moving in a prescribed classical electromagnetic field (wave mechanics) may be expressed in a manner that is gauge invariant, except that the only gauge functions that are allowable in a gauge transformation are those that consist of the sum of a function that depends only on the space coordinates and a term that is the product of a constant and the time coordinate. The multipolar gauge specifies the specific set of potentials that are best suited for use in the Schroedinger equation.

KW - Classical electromagnetism

KW - Gauge transformation

KW - Multipolar gauge

KW - Quantum mechanics

KW - Schroedinger equation

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ER -

Wave mechanics without gauge fixing

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