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

Victor M. Villalba; Ramiro Pino

doi:10.1016/s0375-9601(97)00891-8

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

Victor M. Villalba·Ramiro Pino

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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.

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Victor M. Villalba, Ramiro Pino. 1997-12-03. Analytic Solution of a Relativistic Two-dimensional Hydrogen-like Atom in a Constant Magnetic Field. https://doi.org/10.1016/s0375-9601(97)00891-8

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