Asymptotic Iteration Method Solutions to the Relativistic Duffin-Kemmer-Petiau Equation

Abstract

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 non-trivial example, the anharmonic oscillator is solved and the energy eigenvalues are obtained within the perturbation theory using the asymptotic iteration method.

17 pages written with LaTeX Revtex4. accepted for publication in Journal of Mathematical Physics

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