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Relativistic Treatment of Quantum Mechanical Gravitational-Harmonic Oscillator Potential

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Listed:
  • E. P. Inyang

    (University of Calabar, Nigeria)

  • B. I. Ita

    (University of Calabar, Nigeria)

  • E. P. Inyang

    (University of Calabar, Nigeria)

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.

Suggested Citation

Handle: RePEc:epw:physic:v:3:y:2021:i:3:id:11083
DOI: 10.24018/ejphysics.2021.3.3.83
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