Analytic Solution of a Relativistic Two-dimensional Hydrogen-like Atom in a Constant Magnetic Field
Condensed Matter
2009-10-30 v1
Abstract
We obtain exact solutions of the Klein-Gordon and Pauli Schroedinger equations for a two-dimensional hydrogen-like atom in the presence of a constant magnetic field. Analytic solutions for the energy spectrum are obtained for particular values of the magnetic field strength. The results are compared to those obtained in the non-relativistic and spinless case. We obtain that the relativistic spectrum does not present s states.
Keywords
Cite
@article{arxiv.cond-mat/9712044,
title = {Analytic Solution of a Relativistic Two-dimensional Hydrogen-like Atom in a Constant Magnetic Field},
author = {Victor M. Villalba and Ramiro Pino},
journal= {arXiv preprint arXiv:cond-mat/9712044},
year = {2009}
}
Comments
RevTeX, 8 pages, to be published in Phys. Lett. A