The influence of Aharonov-Casher effect on the generalized Dirac oscillator in the cosmic string space-time

Abstract

In this manuscript, we investigate the influence of the Aharonov-Casher effect on the generalized Dirac oscillator containing the Coulomb-type potential function related to a relativistic neutral particle having a permanent magnetic dipole moment interacting with the external electromagnetic fields in (1+2)-dimensional cosmic string space-time. The eigenfunctions and energy eigenvalues of such a Dirac oscillator are derived by using the Nikifornov-Uvarov method. We indicate that implementing the scenario gives the relativistic modified exact analytical solutions. In this way, we can see that the degeneracy of the relevant relativistic energy eigenvalues is broken by depending on the Coulomb strength parameter under the influence of the curvature effect and the Aharonov-Casher effect.

arXiv comment6pages, 5 figures

References in corpus (24)

• A General Approach for the Exact Solution of the Schrodinger Equation
• Deformed algebras, position-dependent effective masses and curved spaces: An exactly solvable Coulomb problem
• First experimental realization of the Dirac oscillator
• On the Klein-Gordon oscillator subject to a Coulomb-type potential
• Klein-Gordon Oscillator in Kaluza-Klein Theory
• On the interaction of the Dirac oscillator with the Aharonov-Casher system in topological defect backgrounds
• Noninertial effects on the Dirac oscillator in a topological defect spacetime
• The Dirac oscillator in a spinning cosmic string spacetime
• Geometric Phase for Neutral Particle in the Presence of a Topological Defect
• Dirac ocillator in the cosmic string spacetime in the context of gravity's rainbow
• Strange Quark Mass from the Invariant Mass Distribution of Cabibbo-Suppressed Tau Decays
• Effects of spin on the dynamics of the 2D Dirac oscillator in the magnetic cosmic string background
• Bound states for a Coulomb-type potential induced by the interaction between a moving electric quadrupole moment and a magnetic field
• On the Dirac oscillator in a spinning cosmic string spacetime in external magnetic fields: Investigation of energy spectrum and connection with the condensed matter physics
• On the $\kappa$-Dirac Oscillator revisited
• On the 2D Dirac oscillator in the presence of vector and scalar potentials in the cosmic string spacetime in the context of spin and pseudospin symmetries
• Aharonov-Bohm effect for bound states in the cosmic string spacetime in the context of rainbow gravity
• On Aharonov-Casher bound states
• Linear confinement of generalized KG-oscillator with a uniform magnetic field in Kaluza-Klein theory and Aharonov-Bohm effect
• Remarks on the Dirac oscillator in $(2+1)$ dimensions
• The 2D $\kappa$-Dirac oscillator
• The Dirac Equation in (1+2)-dimensional Gürses space-time backgrounds
• Comment on "Dirac fermions in Som-Raychaudhuri space-time with scalar and vector potential and the energy momentum distributions"
• Exact solutions of the Dirac oscillator under the influence of the Aharonov-Casher effect in the cosmic string background

Cited by in corpus (2)

• Study of scalar particles through the Klein-Gordon equation under rainbow gravity effects in Bonnor-Melvin-Lambda space-time
• Fermionic fields in a four-dimensional Bonnor-Melvin-Lambda space-time