https://doi.org/10.1140/epja/i2007-10486-2
Regular Article - Theoretical Physics
Solutions of Dirac equations with the Pöschl-Teller potential
1
State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, 610500, Chengdu, PRC
2
Department of Teaching Affairs, China West Normal University, 637002, Nanchong, PRC
3
School of Mathematics and Computer Science, Xihua University, 610039, Chengdu, PRC
4
College of Sciences, Southwest Petroleum University, 610500, Chengdu, PRC
* e-mail: chshjia@263.net
Received:
30
May
2007
Accepted:
18
September
2007
Published online:
19
October
2007
By using the basic concepts of the supersymmetric quantum mechanics formalism and the function analysis method, we solve the Dirac equation with vector and scalar potentials and obtain the bound-state solutions for the nuclei in the relativistic Pöschl-Teller potential. All of the analyses are prepared under the conditions of the exact spin symmetry and pseudospin symmetry. The exact energy equation and corresponding two-component spinor wave functions for s -wave bound states are obtained analytically.
PACS: 03.65.Ge Solutions of wave equations: bound states – / 03.65.Pm Relativistic wave equations – / 02.30.Gp Special functions –
© Società Italiana di Fisica and Springer-Verlag, 2007
