Path integral solutions for Klein-Gordon particle in vector plus scalar generalized Hulthen and Woods-Saxon potentials

Journal Article · Mon Mar 15 04:00:00 EDT 2010 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3294769· OSTI ID:21335927

Benamira, F; Guechi, L; Mameri, S; Sadoun, M A ^[1]

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1. Departement de Physique, Laboratoire de Physique Theorique, Faculte des Sciences Exactes, Universite Mentouri, Route d'Ain El Bey, Constantine 25000DZ (Algeria)

The Green's function for a Klein-Gordon particle under the action of vector plus scalar deformed Hulthen and Woods-Saxon potentials is evaluated by exact path integration. Explicit path integration leads to the Green's function for different shapes of the potentials. From the singularities of the latter Green's function, the bound states are extracted. For q{>=}1 and (1/{alpha})ln q<r<{infinity}, the analytic expression of the energy spectrum and the normalized wave functions for the l states are obtained within the framework of an approximation to the centrifugal term. When the deformation parameter q is 0<q<1 or q<0, it is found that the quantization conditions are transcendental equations involving the hypergeometric function that require a numerical solution for the s-state energy levels. Particular cases of these potentials are also discussed briefly.

• OSTI ID: 21335927
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 3 Vol. 51; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
BOUND STATE
DEFORMATION
ENERGY SPECTRA
GREEN FUNCTION
HYPERGEOMETRIC FUNCTIONS
INTEGRAL EQUATIONS
KLEIN-GORDON EQUATION
NUMERICAL SOLUTION
PATH INTEGRALS
QUANTIZATION
S STATES
SCALARS
SINGULARITY
VECTORS
WAVE FUNCTIONS
WOODS-SAXON POTENTIAL