Analytic Solution of a Relativistic Two-dimensional Hydrogen-like Atom in a Constant Magnetic Field

Details Analytic Solution of a Relativistic Two-dimensional Hydrogen-like Atom in a Constant Magnetic Field Analytic Solution of a Relativistic Two-dimensional Hydrogen-like Atom in a Constant Magnetic Field

1997-12-03

arxiv.org/abs/cond-mat/9712044v1

Physics

Condensed Matter

RevTeX, 8 pages, to be published in Phys. Lett. A

Scientific paper

10.1016/S0375-9601(97)00891-8

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.

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