Exact analytical solution to the relativistic Klein-Gordon equation with noncentral equal scalar and vector potentials

Journal Article · Tue Aug 15 00:00:00 EDT 2006 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2227258· OSTI ID:20860761

Yasuk, F; Durmus, A; Boztosun, I ^[1]

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

We present an alternative and simple method for the exact solution of the Klein-Gordon equation in the presence of the noncentral equal scalar and vector potentials by using Nikiforov-Uvarov method. The exact bound state energy eigenvalues and corresponding eigenfunctions are obtained for a particle bound in a potential of V(r,{theta})={alpha}/r+{beta}/(r{sup 2} sin{sup 2} {theta})+{gamma}cos {theta}/(r{sup 2} sin{sup 2} {theta}) type.

• OSTI ID: 20860761
• Journal Information: Journal of Mathematical Physics, Vol. 47, Issue 8; Other Information: DOI: 10.1063/1.2227258; (c) 2006 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
BOUND STATE
EIGENFUNCTIONS
EIGENVALUES
EXACT SOLUTIONS
KLEIN-GORDON EQUATION
POTENTIALS
QUANTUM FIELD THEORY
RELATIVISTIC RANGE
VECTORS