Exact solutions of the generalized Klein–Gordon oscillator in a global monopole space-time
Faculté Saint-Jean, University of Alberta, T6C 4G9, Edmonton, AB, Canada
2 Faculty of Physics, Shahrood University of Technology, P.O. Box 3619995161-316, Shahrood, Iran
3 Physics Department, University of Alberta, T6G 2E1, Edmonton, AB, Canada
Accepted: 22 July 2021
Published online: 31 July 2021
We obtain analytical solutions of the generalized Klein–Gordon relativistic quantum oscillator for spin-zero bosons in the presence of a non-central potential under the influence of a point-like global monopole space-time. The non-central potential consists of r- and -dependent potentials , and our generalized oscillator involves a function f(r), such that the radial part of is chosen as the Coulomb and harmonic oscillator potentials, and f(r) is selected as the Coulomb and linear functions, respectively. We analyze a -dependent potential introduced by Berkdemir. Besides, we find exact analytical solutions of this generalized Klein–Gordon quantum oscillator in such background by means of the Nikiforiov–Uvarov method.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021