Approximate solutions of the Dirac equation for the Rosen-Morse potential including the spin-orbit centrifugal term

Journal Article · Mon Feb 15 04:00:00 EST 2010 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3293759· OSTI ID:21335923

Ikhdair, Sameer M ^[1]

---

1. Department of Physics, Near East University, Nicosia, North Cyprus 922153 (Turkey)

We give the approximate analytic solutions of the Dirac equation for the Rosen-Morse potential including the spin-orbit centrifugal term. In the framework of the spin and pseudospin symmetry concept, we obtain the analytic bound state energy spectra and the corresponding two-component upper and lower spinors of the two Dirac particles, in closed form, by means of the Nikiforov-Uvarov method. The special cases of the s-wave {kappa}={+-}1(l=l-tilde=0) Rosen-Morse potential, the Eckart-type potential, the PT-symmetric Rosen-Morse potential, and the nonrelativistic limits are briefly studied.

• OSTI ID: 21335923
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 2 Vol. 51; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
APPROXIMATIONS
BOUND STATE
DIRAC EQUATION
ENERGY SPECTRA
MORSE POTENTIAL
ORBITS
QUANTUM MECHANICS
S WAVES
SPIN
SPINORS
SYMMETRY