Exact solution of the Dirac equation with the Mie-type potential under the pseudospin and spin symmetry limit

Journal Article · Mon Feb 15 00:00:00 EST 2010 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2009.10.009· OSTI ID:21336094

Aydogdu, Oktay ^[1]; Sever, Ramazan ^[2]

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1. Department of Physics, Mersin University, 33343 Mersin (Turkey)
2. Department of Physics, Middle East Technical University, 06531 Ankara (Turkey)

We investigate the exact solution of the Dirac equation for the Mie-type potentials under the conditions of pseudospin and spin symmetry limits. The bound state energy equations and the corresponding two-component spinor wave functions of the Dirac particles for the Mie-type potentials with pseudospin and spin symmetry are obtained. We use the asymptotic iteration method in the calculations. Closed forms of the energy eigenvalues are obtained for any spin-orbit coupling term {kappa}. We also investigate the energy eigenvalues of the Dirac particles for the well-known Kratzer-Fues and modified Kratzer potentials which are Mie-type potentials.

• OSTI ID: 21336094
• Journal Information: Annals of Physics (New York), Vol. 325, Issue 2; Other Information: DOI: 10.1016/j.aop.2009.10.009; PII: S0003-4916(09)00212-7; Copyright (c) 2009 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ASYMPTOTIC SOLUTIONS
BOUND STATE
DIRAC EQUATION
EIGENVALUES
EXACT SOLUTIONS
L-S COUPLING
POTENTIALS
SPIN
SYMMETRY
WAVE FUNCTIONS