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Solution of the Dirac equation with some superintegrable potentials by the quadratic algebra approach

S. Aghaei

Department of Physics, Faculty of Sciences, Sahand University of Technology, P.O. Box 51335-1996, Tabriz, Iran

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and

A. Chenaghlou

Department of Physics, Faculty of Sciences, Sahand University of Technology, P.O. Box 51335-1996, Tabriz, Iran

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https://doi.org/10.1142/S0217751X14500286Cited by:10 (Source: Crossref)

Abstract

The Dirac equation with scalar and vector potentials of equal magnitude is considered. For the two-dimensional harmonic oscillator superintegrable potential, the superintegrable potentials of E₈ (case (3b)), S₄ and S₂, the Schrödinger-like equations are studied. The quadratic algebras of these quasi-Hamiltonians are derived. By using the realization of the quadratic algebras in a deformed oscillator algebra, the structure function and the energy eigenvalues are obtained.

Keywords:

PACS: 03.65.Pm, 03.65.-w, 03.65.Fd, 02.30.Ik

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