Linear confinement of generalized KG-oscillator with a uniform magnetic field in Kaluza-Klein theory and Aharonov-Bohm effect

Abstract

In this paper, we solve generalized KG-oscillator interacts with a uniform magnetic field in five-dimensional space-time background produced by topological defects under a linear confining potential using the Kaluza-Klein theory. We solve this equation and analyze an analogue of the Aharonov-Bohm effect for bound states. We observe that the energy levels for each radial mode depends on the global parameters characterizing the space-time, the confining potential, and the magnetic field which shows a quantum effect

arXiv comment23 pages, accepted in Scientific Reports journal. arXiv admin note: text overlap with arXiv:2008.04745

References in corpus (24)

• On the Unification Problem in Physics
• On the aether-like Lorentz-breaking actions
• Landau Levels in the Presence of Topological Defects
• Klein-Gordon Oscillator in Kaluza-Klein Theory
• Relativistic quantum motion of spin-0 particles under the influence of non-inertial effects in the cosmic string space-time
• Aether Compactification
• Aharonov-Bohm effect for bound states in relativistic scalar particle systems in a spacetime with a space-like dislocation
• The generalized Klein-Gordon oscillator in the background of cosmic string space-time with a linear potential in the Kaluza-Klein theory
• Noninertial effects on the quantum dynamics of scalar bosons
• Scattering of dislocated wavefronts by vertical vorticity and the Aharonov-Bohm effect I: Shallow water
• Two approximations to the bound states of Dirac-Hulthen problem
• Fermions in Kaluza-Klein and Randall-Sundrum Theories
• Four-dimensional aether-like Lorentz-breaking QED revisited and problem of ambiguities
• The generalized Klein-Gordon oscillator in a Cosmic Space-Time with a Space-Like Dislocation and the Aharonov-Bohm Effect
• Bound states of massive fermions in the Aharonov--Bohm-like fields
• Relativistic and nonrelativistic bound states of the isotonic oscillator by Nikiforov-Uvarov method
• Kaluza-Klein description of geometric phases in graphene
• Kaluza-Klein and Gauss-Bonnet cosmic strings
• Analogue Aharonov-Bohm effect in neo-Newtonian theory
• On an atom with a magnetic quadrupole moment subject to harmonic and linear confining potentials
• Kaluza-Klein Reduction of a Quadratic Curvature Model
• Semiclassical Effects Induced by Aharonov-Bohm Interaction Between a Cosmic String and a Scalar Field
• Spin-$0$ scalar particle interacts with scalar potential in the presence of magnetic field and quantum flux under the effects of KKT in $5D$ cosmic string space-time
• Comment on ``the Klein-Gordon Oscillator''

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• Feshbach-Villars oscillator (FVO) in Kaluza-Klein Theory (KKT)
• Point-like defect on Schrödinger particles under flux field with harmonic oscillator plus Mie-type potential: application to molecular potentials
• Relativistic quantum oscillator under rainbow gravity's effects in traversable wormhole with disclination
• Klein-Gordon Oscillator with Scalar and Vector Potentials in Topologically Charged Ellis-Bronnikov type Wormhole
• The influence of Aharonov-Casher effect on the generalized Dirac oscillator in the cosmic string space-time
• The study of the generalized Klein-Gordon oscillator in the context of the Som-Raychaudhuri space-time
• Effects of linear Central potential induced by Lorentz symmetry breaking on a generalized Klein-Gordon Oscillator
• Effects of Lorentz Symmetry Breaking Environment on Generalized Relativistic Quantum Oscillator Field