Algebraic approach to pseudospin symmetry for the Dirac equation with scalar and vector modified Pöschl-Teller potentialsGao-Feng Wei1 and Shi-Hai Dong2
1 Department of Physics, Xi'an University of Arts and Science - Xi'an 710065, PRC
2 Departamento de Física, Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Edificio 9, Unidad Profesional Adolfo López Mateos - Mexico D. F. 07738, Mexico
received 23 April 2009; accepted in final form 6 August 2009; published August 2009
published online 7 September 2009
By the algebraic method we study the approximate solution to the Dirac equation with scalar and vector modified Pöschl-Teller (MPT) potentials carrying pseudospin symmetry. The transcendental energy equation and spinor wave functions with arbitrary spin-orbit coupling quantum number k are presented. It is found that there exist only negative-energy states for bound states under pseudospin symmetry, and the energy levels will approach a constant when the potential parameter goes to zero. There also exist the corresponding degenerate states between (n+1, k- 2) and (n, k) in the case of pseudospin symmetry.
03.65.Ge - Solutions of wave equations: bound states.
03.65.Pm - Relativistic wave equations.
34.20.Cf - Interatomic potentials and forces.
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