Relativistic quantum mechanics of a Dirac oscillator
Abstract
The Dirac oscillator is an exactly soluble model recently introduced in the context of many particle models in relativistic quantum mechanics. The model has been also considered as an interaction term for modelling quark confinement in quantum chromodynamics. These considerations should be enough for demonstrating that the Dirac oscillator can be an excellent example in relativistic quantum mechanics. In this paper we offer a solution to the problem and discuss some of its properties. We also discuss a physical picture for the Dirac oscillator's non-standard interaction, showing how it arises on describing the behaviour of a neutral particle carrying an anomalous magnetic moment and moving inside an uniformly charged sphere.
Keywords
Cite
@article{arxiv.quant-ph/9908069,
title = {Relativistic quantum mechanics of a Dirac oscillator},
author = {R. P. Martínez-y-Romero and H. N. Núñez-Yépez and A. L. Salas-Brito},
journal= {arXiv preprint arXiv:quant-ph/9908069},
year = {2016}
}
Comments
19 pages, 1 figure