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Bound States of the Dirac Equation for a Class of Effective Quadratic Plus Inversely Quadratic Potentials

Antonio S. de Castro
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Abstract

The Dirac equation is exactly solved for a pseudoscalar linear plus Coulomb-like potential in a two-dimensional world. This sort of potential gives rise to an effective quadratic plus inversely quadratic potential in a Sturm-Liouville problem, regardless the sign of the parameter of the linear potential, in sharp contrast with the Schroedinger case. The generalized Dirac oscillator already analyzed in a previous work is obtained as a particular case.

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Antonio S. de Castro. 2003-11-10. Bound States of the Dirac Equation for a Class of Effective Quadratic Plus Inversely Quadratic Potentials. https://doi.org/10.1016/j.aop.2003.12.007

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