Solutions of the Klein Gordon equation with generalized hyperbolic potential in D-dimensions

Okorie U. S., Ikot A. N., Edet C. O., Akpan I. O., Sever R., Rampho R.

JOURNAL OF PHYSICS COMMUNICATIONS, vol.3, no.9, 2019 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 3 Issue: 9
  • Publication Date: 2019
  • Doi Number: 10.1088/2399-6528/ab42c6
  • Journal Name: JOURNAL OF PHYSICS COMMUNICATIONS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Keywords: Klein-Gordon equation, generalized hyperbolic potential, functional analysis method, BOUND-STATES, SCHRODINGER-EQUATION, EQUAL SCALAR, VECTOR, PARTICLES, ENERGIES
  • Middle East Technical University Affiliated: Yes

Abstract

We solve the D- dimensional Klein-Gordon equation with a newly proposed generalized hyperbolic potential model, under the condition of equal scalar and vector potentials. The relativistic bound state energy equation has been obtained via the functional analysis method. We obtained the relativistic and non-relativistic ro-vibrational energy spectra for different diatomic molecules. The numerical results for these diatomic molecules tend to portray inter-dimensional degeneracy symmetry. Variations of the energy eigenvalues obtained with the potential parameters have been demonstrated graphically. Our studies will find relevant applications in the areas of chemical physics and high-energy physics.