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

Abstract

In this paper, we study a relativistic quantum dynamics of spin-$0$ scalar particle interacts with scalar potential in the presence of a uniform magnetic field and quantum flux in the background of Kaluza-Klein theory (KKT). We solve Klein-Gordon equation in the considered framework and analyze the relativistic analogue of the Aharonov-Bohm effect for bound states. We show that the energy levels depend on the global parameters characterizing the space-time, the scalar potential and the magnetic field which break their degeneracy.

27 pages, no figure, Titled changed, overall presentations improved, accepted for publication in Mod. Phys. Lett. A

References in corpus (13)

• On the Klein-Gordon oscillator subject to a Coulomb-type potential
• Exact Solutions of the Klein-Gordon Equation in the Presence of a Dyon, Magnetic Flux and Scalar Potential in the Specetime of Gravitational Defects
• Relativistic quantum oscillators in the global monopole spacetime
• Aether Compactification
• Aharonov-Bohm effect for bound states in relativistic scalar particle systems in a spacetime with a space-like dislocation
• Landau quantization for a neutral particle in presence of topological defects
• Geometric Phase for Neutral Particle in the Presence of a Topological Defect
• The generalized Klein-Gordon oscillator in the background of cosmic string space-time with a linear potential in the Kaluza-Klein theory
• Torsion effects on a relativistic position-dependent mass system
• The generalized Klein-Gordon oscillator in a Cosmic Space-Time with a Space-Like Dislocation and the Aharonov-Bohm Effect
• On the deflection of light by topological defects in nematic liquid crystals
• Aharonov-Bohm-like effect for light propagating in nematics with disclinations
• Aharonov-Bohm-type effect in the background of a distortion of a vertical line into a vertical spiral

Cited by in corpus (1)

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