Wave mechanics without gauge fixing
Quantum Physics
2007-05-23 v1
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.
Cite
@article{arxiv.quant-ph/0505079,
title = {Wave mechanics without gauge fixing},
author = {A. M. Stewart},
journal= {arXiv preprint arXiv:quant-ph/0505079},
year = {2007}
}
Comments
13 pages