The generalized Klein-Gordon oscillator in a Cosmic Space-Time with a Space-Like Dislocation and the Aharonov-Bohm Effect

Abstract

In the present work, we investigated the quantum behavior of a charged particle that is under the effect of a uniform magnetic external field. We assumed that space-time has a space-like dislocation with an internal magnetic flux. We examined two different types of potential energies that are known as the pseudo harmonic and Cornell type potential energies, with the nonminimal coupling. We observed the Aharonov-Bohm effect in both cases. We extended the analysis on the energy spectrum functions to the different limits.

arXiv comment22 pages, 14 figures

References in corpus (18)

• Relativistic quantum dynamics of a charged particle in cosmic string spacetime in the presence of magnetic field and scalar potential
• Volterra Distortions, Spinning Strings, and Cosmic Defects
• Complete O(v^2) corrections to the static interquark potential from SU(3) gauge theory
• One-Dimensional Quasi-Exactly Solvable Schrödinger Equations
• On the Klein-Gordon oscillator subject to a Coulomb-type potential
• Klein-Gordon Oscillator in Kaluza-Klein Theory
• Exact Solutions of the Klein-Gordon Equation in the Presence of a Dyon, Magnetic Flux and Scalar Potential in the Specetime of Gravitational Defects
• On a relativistic scalar particle subject to the Klein-Gordon oscillator, the Coulomb potential and a linear scalar potential
• 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
• Torsion effects on a relativistic position-dependent mass system
• Relativistic Aharonov--Bohm effect in the presence of two-dimensional Coulomb potential
• Corrected Analytical Solution of the Generalized Woods-Saxon Potential for Arbitrary $\ell$ States
• QQ-onia package: a numerical solution to the Schrodinger radial equation for heavy quarkonium
• Symmetrized quartic polynomial oscillators and their partial exact solvability
• A search on the Nikiforov-Uvarov formalism
• Quasi-exactly solvable symmetrized quartic and sextic polynomial oscillators
• Quasi-exact minus-quartic oscillators in strong-core regime

Cited by in corpus (16)

• PDM Klein-Gordon oscillators in cosmic string spacetime in magnetic and Aharonov-Bohm flux fields within the Kaluza-Klein theory
• Relativistic Solutions of Generalized-Dunkl Harmonic and Anharmonic Oscillators
• Linear confinement of generalized KG-oscillator with a uniform magnetic field in Kaluza-Klein theory and Aharonov-Bohm effect
• Confined Klein-Gordon oscillators in Minkowski spacetime and a pseudo-Minkowski spacetime with a space-like dislocation: PDM KG-oscillators, isospectrality and invariance
• DKP oscillator in the presence of a spinning cosmic string
• Effects of linear Central potential induced by Lorentz symmetry breaking on a generalized Klein-Gordon Oscillator
• Fermionic fields in a four-dimensional Bonnor-Melvin-Lambda space-time
• PDM Klein-Gordon particles in Gödel-type Som-Raychaudhuri cosmic string spacetime background
• 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
• PDM Klein-Gordon particles in Som-Raychaudhuri cosmic string spacetime with space-like dislocation and a non-uniform magnetic field: spacetime associated degeneracies, vorticity-energy, and charge-energy correlations
• Effects of rotation and Coulomb type potential on the spin-1/2 Aharonov-Bohm problem
• KG-oscillators in Som-Raychaudhuri rotating cosmic string spacetime in a mixed magnetic field
• Dynamics of massive and massless particles in the spacetime of a wiggly cosmic dislocation
• Klein-Gordon equation within the real Hilbert space formalism
• Effects of Lorentz Symmetry Breaking Environment on Generalized Relativistic Quantum Oscillator Field
• Phenomenology of Schwarzschild-like Black Holes with a Generalized Compton Wavelength