Volume 87, Number 4, August 2009
|Number of page(s)||6|
|Published online||07 September 2009|
Algebraic approach to pseudospin symmetry for the Dirac equation with scalar and vector modified Pöschl-Teller potentials
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
Accepted: 6 August 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 α goes to zero. There also exist the corresponding degenerate states between and in the case of pseudospin symmetry.
PACS: 03.65.Ge – Solutions of wave equations: bound states / 03.65.Pm – Relativistic wave equations / 34.20.Cf – Interatomic potentials and forces
© EPLA, 2009
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