Bound state solutions of a Dirac particle undergoing a tensor interaction potentials via asymptotic iteration method

Abstract

Bound state solutions of a quantum Dirac particle with a tensor interactions terms are investigated by Asymptotic Iteration Method. The eigenvalues are calculated for tensor potentials and formulated into closed forms. Similarity Transformation is used to convert the Dirac equation into a generalized useful form. The s-wave analytical solutions for the relativistic problems of the Dirac-oscillator, Scarf, Rosen-Morse II, and Pöschl-Teller tensor potentials are obtained with an excellent agreement with previous works.

Keywords

• dirac equation
• similarity transformation
• asymptotic iteration method
• tensor potential
• oscillator
• rosen-morse ii
• scarf
• pöschl-teller