Exact solutions to the Dirac equation for a Coulomb potential in $D+1$ dimensions
Atomic Physics
2009-11-07 v1
Abstract
The Dirac equation is generalized to space-time.The conserved angular momentum operators and their quantum numbers are discussed. The eigenfunctions of the total angular momenta are calculated for both odd and even cases. The radial equations for a spherically symmetric system are derived. The exact solutions for the system with a Coulomb potential are obtained analytically. The energy levels and the corresponding fine structure are also presented.
Keywords
Cite
@article{arxiv.physics/0209039,
title = {Exact solutions to the Dirac equation for a Coulomb potential in $D+1$ dimensions},
author = {Xiao-Yan Gu and Zhong-Qi Ma and Shi-Hai Dong},
journal= {arXiv preprint arXiv:physics/0209039},
year = {2009}
}
Comments
12 pages, no figure, RevTex, Accepted by Inter.J.Mod.Phys.E