European Journal of Applied Physics

Relativistic Treatment of Quantum Mechanical Gravitational-Harmonic Oscillator Potential

Etido Patrick Inyang, Benedict I. Ita, Etido Patrick Inyang

Published Jun 24, 2021• 12 citations

Abstract

The solutions of the Klein- Gordon equation for the quantum mechanical gravitational plus harmonic oscillator potential with equal scalar and vector potential have been presented using the parametric Nikiforov-Uvarov method. The energy eigenvalues were obtained in relativistic and non-relativistic regime and the corresponding un-normalized eigenfunctions in terms of Laguerre polynomials. The numerical values for the S – wave bound state were obtained.

DOI: 10.24018/ejphysics.2021.3.3.83

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