Bound State Solution of Dirac Equation for Generalized Pöschl-Teller plus Trigomometric Pöschl-Teller Non- Central Potential Using SUSY Quantum Mechanics

S. Suparmi, C. Cari

Abstract


The bound state solution of the Dirac equation for generalized Pöschl-
Teller and trigonometric Pöschl-Teller non-central potentials was obtained using
SUSY quantum mechanics and the idea of shape invariance potential. The
approximate relativistic energy spectrum was expressed in the closed form. The
radial and polar wave functions were obtained using raising and lowering of
radial and polar operators. The orbital quantum numbers were found from the
polar Dirac equation, which was solved using SUSY quantum mechanics and the
idea of shape invariance.

Keywords


bound state solution; Dirac equation; generalized Pöschl-Teller potential; non-central potentials; SUSY quantum mechanics; trigonometric Pöschl-Teller potential

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References


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DOI: http://dx.doi.org/10.5614%2Fj.math.fund.sci.2014.46.3.1

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