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

Suparmi & Cari
Physics Department, Sebelas Maret University
Jalan Ir. Sutami 36 A, Surakarta 57126
Email: suparmi@uns.ac.id

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.