Relativistic quantum mechanics of a Dirac oscillator

Details Relativistic quantum mechanics of a Dirac oscillator Relativistic quantum mechanics of a Dirac oscillator

1999-08-21

arxiv.org/abs/quant-ph/9908069v1

Eur.J.Phys. 16 (1995) 135-141

Physics

Quantum Physics

19 pages, 1 figure

Scientific paper

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.

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