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

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

2003-11-10

arxiv.org/abs/hep-th/0311087v1

Annals Phys. 311 (2004) 170-181

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 5 figures

Scientific paper

10.1016/j.aop.2003.12.007

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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