Perturbed Coulomb potentials in the Klein-Gordon equation via the asymptotic iteration method

Journal Article · Sun Mar 15 00:00:00 EDT 2009 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2008.10.008· OSTI ID:21167727

Barakat, T. ^[1]

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1. Physics Department, King Saud University, P.O. Box 2455, Riyadh 11451 (Saudi Arabia), E-mail: [e-mail]

The asymptotic iteration method is used to construct the exact energy eigenvalues for a Lorentz vector or a Lorentz scalar, and an equally mixed Lorentz vector and Lorentz scalar Coulombic potentials. Highly accurate and rapidly converging ground-state energies for Lorentz vector Coulomb with a Lorentz vector or a Lorentz scalar linear potential, V(r)=-{lambda}{sub 1}/r+krandV(r)=-{lambda}{sub 1}/randW(r)=kr, respectively, are obtained.

• OSTI ID: 21167727
• Journal Information: Annals of Physics (New York), Vol. 324, Issue 3; Other Information: DOI: 10.1016/j.aop.2008.10.008; PII: S0003-4916(08)00167-X; 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
COULOMB FIELD
EIGENVALUES
GROUND STATES
ITERATIVE METHODS
KLEIN-GORDON EQUATION
POTENTIALS
VECTORS