Effects of Kaluza-Klein theory and potential on a generalized Klein-Gordon oscillator in the cosmic string space-time

Abstract

In this paper, we solve a generalized Klein-Gordon oscillator in the cosmic string space-time with a scalar potential of Cornell-type within the Kaluza-Klein theory and obtain the relativistic energy eigenvalues and eigenfunctions. We extend this analysis by replacing the Cornell-type with Coulomb-type potential in the magnetic cosmic string space-time and analyze a relativistic analogue of the Aharonov-Bohm effect for bound states.

35 pages, 9 figures, accepted for publication in Adv. High Energy Physics journal (article ID 8107025, proof reading version). arXiv admin note: substantial text overlap with arXiv:2003.04148; text overlap with arXiv:1908.05076, arXiv:1603.06292 by other authors

References in corpus (8)

• On the Klein-Gordon oscillator subject to a Coulomb-type potential
• Nonrelativistic molecular models under external magnetic and AB flux fields
• Aether Compactification
• Aharonov-Bohm-Casher Problem with a nonminimal Lorentz-violating coupling
• Aharonov-Bohm effect for bound states in relativistic scalar particle systems in a spacetime with a space-like dislocation
• On the influence of a Coulomb-like potential induced by the Lorentz symmetry breaking effects on the Harmonic Oscillator
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Cited by in corpus (3)

• Relativistic Motions of Spin-Zero Quantum Oscillator Field in a Global Monopole Space-Time with External Potential and AB-effect
• Generalized KG-oscillator with a uniform magnetic field under the influence of Coulomb-type potentials in cosmic string space-time and Aharonov-Bohm effect
• Generalized Duffin-Kemmer-Petiau oscillator under Aharonov-Bohm flux in topological defects backgrounds