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Title: Asymptotic iteration method solutions to the relativistic Duffin-Kemmer-Petiau equation

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.2203429· OSTI ID:20860486
; ; ;  [1]
  1. Department of Physics, Erciyes University, 38039 Kayseri (Turkey)

A simple exact analytical solution of the relativistic Duffin-Kemmer-Petiau equation within the framework of the asymptotic iteration method is presented. Exact bound state energy eigenvalues and corresponding eigenfunctions are determined for the relativistic harmonic oscillator as well as the Coulomb potentials. As a nontrivial example, the anharmonic oscillator is solved and the energy eigenvalues are obtained within the perturbation theory using the asymptotic iteration method.

OSTI ID:
20860486
Journal Information:
Journal of Mathematical Physics, Vol. 47, Issue 6; Other Information: DOI: 10.1063/1.2203429; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
Country of Publication:
United States
Language:
English