Approximately analytical solutions of the Manning-Rosen potential with the spin-orbit coupling term and spin symmetry

作者：Wei Gao Feng; Dong Shi Hai

来源：Physics Letters A, 2008, 373(1): 49-53.

DOI：10.1016/j.physleta.2008.10.064

• Dirac equation
• Manning-Rosen potential
• Spin symmetry
• Bound states
• Approximately analytical solutions

In this Letter the approximately analytical bound state solutions of the Dirac equation with the Manning-Rosen potential for arbitrary spin-orbit coupling quantum number k are carried out by taking a properly approximate expansion for the spin-orbit coupling term. In the case of exact spin symmetry, the associated two-component spinor wave functions of the Dirac equation for arbitrary spin-orbit quantum number k are presented and the corresponding bound state energy equation is derived. We study briefly two special cases; the general s-wave problem and the equal scalar and vector Manning-Rosen potential.

• 出版日期2008-12-22
• 单位西安文理学院