The Dirac particle on central backgrounds and the anti-de Sitter oscillator
General Relativity and Quantum Cosmology
2010-11-19 v1
Abstract
It is shown that, for spherically symmetric static backgrounds, a simple reduced Dirac equation can be obtained by using the Cartesian tetrad gauge in Cartesian holonomic coordinates. This equation is manifestly covariant under rotations so that the spherical coordinates can be separated in terms of angular spinors like in special relativity, obtaining a pair of radial equations and a specific form of the radial scalar product. As an example, we analytically solve the anti-de Sitter oscillator giving the formula of the energy levels and the form of the corresponding eigenspinors.
Cite
@article{arxiv.gr-qc/9803042,
title = {The Dirac particle on central backgrounds and the anti-de Sitter oscillator},
author = {Ion I. Cotăescu},
journal= {arXiv preprint arXiv:gr-qc/9803042},
year = {2010}
}
Comments
16 pages, Latex