Gauge transformations of a relativistic field of quantum harmonic oscillators
High Energy Physics - Theory
2022-01-06 v1
Abstract
A set of gauge transformations of a relativistic field of quantum harmonic oscillators is studied in a mathematically rigorous manner. Each wave function in the domain of the number operator of a single oscillator generates a Frechet-differentiable field of wave functions. Starting from a coherent wave function one obtains a two-dimensional differentiable manifold of coherent vector states. As an illustration it is shown that the gauge transformation can be chosen in such a way that the resulting fields describe a freely-propagating wave.
Keywords
Cite
@article{arxiv.2007.12555,
title = {Gauge transformations of a relativistic field of quantum harmonic oscillators},
author = {Jan Naudts},
journal= {arXiv preprint arXiv:2007.12555},
year = {2022}
}
Comments
A4, 17 pages; Accepted for publication in Reports on Mathematical Physics