Exact solutions of the generalized Klein–Gordon oscillator in a global monopole space-time

• Published in: European physical journal plus Vol. 136; no. 7; p. 788
• Main Authors: Montigny, Marc de, Hassanabadi, Hassan, Pinfold, James, Zare, Soroush
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2021; Springer Nature B.V
• Subjects: Applied and Technical Physics; Atomic; Bosons; Charged particles; Complex Systems; Condensed Matter Physics; Exact solutions; Harmonic oscillators; Investigations; Linear functions; Magnetic fields; Mathematical analysis; Mathematical and Computational Physics; Molecular; Optical and Plasma Physics; Oscillators; Phase transitions; Physics; Physics and Astronomy; Quantum theory; Regular Article; Sensors; Spacetime; Symmetry; Theoretical; Universe
• ISSN: 2190-5444; 2190-5444
• DOI: 10.1140/epjp/s13360-021-01786-1

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 θ -dependent potentials S ( r , θ ) , and our generalized oscillator involves a function f ( r ), such that the radial part of S ( r , θ ) is chosen as the Coulomb and harmonic oscillator potentials, and f ( r ) is selected as the Coulomb and linear functions, respectively. We analyze a θ -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.