Quasi-exact Solvability of Planar Dirac Electron in Coulomb and Magnetic Fields
Quantum Physics
2009-11-11 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
The Dirac equation for an electron in two spatial dimensions in the Coulomb and homogeneous magnetic fields is a physical example of quasi-exactly solvable systems. This model, however, does not belong to the classes based on the algebra which underlies most one-dimensional and effectively one-dimensional quasi-exactly solvable systems. In this paper we demonstrate that the quasi-exactly solvable differential equation possesses a hidden superalgebra.
Cite
@article{arxiv.quant-ph/0501035,
title = {Quasi-exact Solvability of Planar Dirac Electron in Coulomb and Magnetic Fields},
author = {Chun-Ming Chiang and Choon-Lin Ho},
journal= {arXiv preprint arXiv:quant-ph/0501035},
year = {2009}
}
Comments
LaTex, 10 pages, no figures