An approximate solution of Dirac-Hulthen problem with pseudospin and spin symmetry for any {kappa} state

Journal Article · Wed Aug 15 00:00:00 EDT 2007 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2768436· OSTI ID:21013592

Soylu, A; Bayrak, O; Boztosun, I ^[1]

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1. Department of Physics, Nigde University, 51350 Nigde, Turkey and Department of Physics, Erciyes University, 38039 Kayseri (Turkey)

For any spin-orbit quantum number {kappa}, the analytical solutions of the Dirac equation are presented for the Hulthen potential by applying an approximation to spin-orbit coupling potential for the case of spin symmetry, {delta}(r)=C=const, and pseudospin symmetry {sigma}(r)=C=const. The bound state energy eigenvalues and the corresponding spinors are obtained in the closed forms.

• OSTI ID: 21013592
• Journal Information: Journal of Mathematical Physics, Vol. 48, Issue 8; Other Information: DOI: 10.1063/1.2768436; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); 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
EIGENVALUES
HULTHEN POTENTIAL
L-S COUPLING
QUANTUM MECHANICS
SPIN
SPINORS
SYMMETRY