Analytic solution of a relativistic two-dimensional hydrogen-like atom in a constant magnetic field

Víctor M. Villalba; Ramiro Pino

doi:10.1016/S0375-9601(97)00891-8

Analytic solution of a relativistic two-dimensional hydrogen-like atom in a constant magnetic field

Víctor M. Villalba, Ramiro Pino

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Abstract

We obtain exact solutions of the Klein-Gordon and Pauli-Schrödinger 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.

Original language	English (US)
Pages (from-to)	49-53
Number of pages	5
Journal	Physics Letters A
Volume	238
Issue number	1
DOIs	https://doi.org/10.1016/S0375-9601(97)00891-8
State	Published - Jan 26 1998

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/S0375-9601(97)00891-8

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title = "Analytic solution of a relativistic two-dimensional hydrogen-like atom in a constant magnetic field",

abstract = "We obtain exact solutions of the Klein-Gordon and Pauli-Schr{\"o}dinger 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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AU - Villalba, Víctor M.

AU - Pino, Ramiro

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Y1 - 1998/1/26

N2 - We obtain exact solutions of the Klein-Gordon and Pauli-Schrödinger 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.

AB - We obtain exact solutions of the Klein-Gordon and Pauli-Schrödinger 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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DO - 10.1016/S0375-9601(97)00891-8

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EP - 53

JO - Physics Letters A

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Analytic solution of a relativistic two-dimensional hydrogen-like atom in a constant magnetic field

Abstract

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