Bound and scattering states solutions of the Klein–Gordon equation with generalized Mobius square potential in D-dimensions

Uduakobong S. Okorie*, Akpan N. Ikot, Collins O. Edet, Gaotsiwe J. Rampho, Ridha Horchani, Haikel Jelassi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

Abstract: In this study, the Klein–Gordon equation (KGE) was solved with the generalized Mobius square (GMS) potential using the functional analysis approach (FAA) in D-dimensions. By employing the Pekeris-type approximation scheme, the relativistic and nonrelativistic bound state energies were obtained in closed form. Also, the expression for the scattering state phase shift of GMS potential was obtained in D-dimensions. The effects of the vibrational and rotational quantum number on the vibrational energies and the scattering state phase shift of nitrogen monoiodide (NI) diatomic molecule were studied numerically and graphically at different dimensions. An interesting result of this study is the inter-dimensional degeneracy symmetry for scattering phase shift of the NI diatomic molecule. Hence, this concept is applicable in the areas of chemical physics, nuclear and particle physics. Graphic abstract: In this study, the relativistic and nonrelativistic bound state energies of KGE with the GMS potential were obtained in D-dimensions using the FAA. In addition, the scattering state phase shift of GMS potential was obtained in D-dimensions. The effects of the vibrational and rotational quantum number on the vibrational energies and the scattering state phase shift of NI diatomic molecule were studied. The inter-dimensional degeneracy symmetry for scattering phase shift of the NI diatomic molecule was obtained at unique quantum states. Graphic Abstract: [Figure not available: see fulltext.].

Original languageEnglish
Article number53
JournalEuropean Physical Journal D
Volume75
Issue number2
DOIs
Publication statusPublished - Feb 2021
Externally publishedYes

Keywords

  • Bound states
  • Eigenfunctions
  • Energy eigenvalues
  • Generalized Mobius square potential
  • Klein–Gordon equation
  • Scattering phase shift

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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