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de Castro, Antonio S.

Bound states of the Dirac equation for a class of effective quadratic plus inversely quadratic potentials. (English) Zbl 1045.81021

Ann. Phys. 311, No. 1, 170-181 (2004).
Summary: 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 Schrödinger case. The generalized Dirac oscillator already analyzed in a previous work is obtained as a particular case.

Cited in 9 Documents

MSC:

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics

Keywords:

Dirac equation; pseudoscalar potential; effective potential
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\textit{A. S. de Castro}, Ann. Phys. 311, No. 1, 170--181 (2004; Zbl 1045.81021)
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