Relativistic Treatment of Quantum Mechanical Gravitational-Harmonic Oscillator Potential

E. P. Inyang, B. I. Ita and E. P. Inyang
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E. P. Inyang: University of Calabar, Nigeria
B. I. Ita: University of Calabar, Nigeria
E. P. Inyang: University of Calabar, Nigeria

European Journal of Applied Physics, 2021, vol. 3, issue 3, 42-47

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:epw:physic:v:3:y:2021:i:3:id:11083

DOI: 10.24018/ejphysics.2021.3.3.83

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