https://doi.org/10.1140/epja/i2009-10901-8
Regular Article - Theoretical Physics
A novel algebraic approach to spin symmetry for Dirac equation with scalar and vector second Pöschl-Teller potentials
1
Department of Physics, Xi’an University of Arts and Science, 710065, Xi’an, PRC
2
Escuela Superior de Fısica y Matemáticas, Instituto Politécnico Nacional, Edificio 9, Unidad Profesional Adolfo López Mateos, 07738, Mexico D. F., Mexico
* e-mail: fgwei_2000@163.com
Received:
11
September
2009
Revised:
9
November
2009
Accepted:
19
November
2009
Published online:
17
December
2009
By a novel algebraic method we study the approximate solution to the Dirac equation with scalar and vector second Pöschl-Teller potential carrying spin 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 positive-energy bound states in the case of spin symmetry. Also, the energy eigenvalue approaches a constant when the potential parameter 
goes to zero. The equally scalar and vector case is studied briefly.
© SIF, Springer-Verlag Berlin Heidelberg, 2010
