On the interaction of the Dirac oscillator with the Aharonov-Casher system in topological defect backgrounds

Abstract

In this paper, we study the influence of the Aharonov-Casher effect [Y. Aharonov and A. Casher, Phys. Rev. Lett. 53, 319 (1984).] on the Dirac oscillator in three different scenarios of general relativity: the Minkowski spacetime, the cosmic string spacetime and the cosmic dislocation spacetime. In this way, we solve the Dirac equation and obtain the energy levels for bound states and the Dirac spinors for positive-energy solutions. We show that the relativistic energy levels depend on the Aharonov-Casher geometric phase. We also discuss the influence of curvature and torsion on the relativistic energy levels and the Dirac spinors due to the topology of the cosmic string and cosmic dislocation spacetimes.

23 pages, no figure

References in corpus (10)

• Relativistic quantum dynamics of a charged particle in cosmic string spacetime in the presence of magnetic field and scalar potential
• Exact Mapping of the 2+1 Dirac Oscillator onto the Jaynes-Cummings Model: Ion-Trap Experimental Proposal
• Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: the case of the relativistic harmonic oscillator
• Noninertial effects on the Dirac oscillator in a topological defect spacetime
• Geometric Phase for Neutral Particle in the Presence of a Topological Defect
• A Comment on the Topological Phase for Anti-Particles in a Lorentz-violating environment
• Energy Spectrum of a 2D Dirac Oscillator in the Presence of the Aharonov-Bohm Effect
• Non-relativistic limit in the 2+1 Dirac Oscillator: A Ramsey Interferometry Effect
• The Noncommutative Anandan's Quantum Phase
• Gravitational Geometric Phase in the Presence of Torsion

Cited by in corpus (48)

• On the Klein-Gordon oscillator subject to a Coulomb-type potential
• Klein-Gordon Oscillator in Kaluza-Klein Theory
• Relativistic quantum oscillators in the global monopole spacetime
• The Dirac oscillator in a spinning cosmic string spacetime
• 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
• Dirac ocillator in the cosmic string spacetime in the context of gravity's rainbow
• Noninertial effects on the quantum dynamics of scalar bosons
• Effects of spin on the dynamics of the 2D Dirac oscillator in the magnetic cosmic string background
• Quantum dynamics of scalar bosons in a cosmic string background
• Relativistic Landau levels for a fermion-antifermion pair interacting through Dirac oscillator interaction
• Torsion effects on a relativistic position-dependent mass system
• Harmonic oscillator in an elastic medium with a spiral dislocation
• 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
• Fermions in Gödel-type background space-times with torsion and the Landau quantization
• 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
• Feshbach-Villars oscillator (FVO) in Kaluza-Klein Theory (KKT)
• Deformations of the spin currents by topological screw dislocation and cosmic dispiration
• Quantum dynamics of scalar particles in the space-time of a cosmic string in the context of gravity's rainbow
• The 2D $\kappa$-Dirac oscillator
• On the Klein-Gordon oscillators in Eddington-inspired Born-Infeld gravity global monopole spacetime and a Wu-Yang magnetic monopole
• Klein-Gordon oscillator in the presence of external fields in a cosmic space-time with a spacelike dislocation and Aharonov-Bohm effect
• Algebraic approach and coherent states for a relativistic quantum particle in cosmic string spacetime
• Algebraic solution and coherent states for the Dirac oscillator interacting with a topological defect
• Quantum dynamics of spin-0 particles in a cosmological space-time
• Doubly anharmonic oscillator under the topological effects of a screw dislocation
• The influence of Aharonov-Casher effect on the generalized Dirac oscillator in the cosmic string space-time
• Fermionic fields in a four-dimensional Bonnor-Melvin-Lambda space-time
• Scalar Casimir effect in a high-dimensional cosmic dispiration spacetime
• Non-commutativity and non-inertial effects on the Dirac oscillator in a cosmic string space-time
• Klein-Gordon particles in a quasi-pointlike global monopole spacetime and a Wu-Yang magnetic monopole: invariance and isospectrality
• Aharonov-Bohm effect on the generalized Duffin-Kemmer-Petiau oscillator in the Som-Raychaudhuri space-time
• Amelino-Camelia DSR effects on charged Dirac oscillators: Modulated spinning magnetic vortices
• Hall conductivity in the cosmic defect and dislocation space-time
• Effects of Kaluza-Klein theory and potential on a generalized Klein-Gordon oscillator in the cosmic string space-time
• Schrödinger oscillators in a deformed point-like global monopole spacetime and a Wu-Yang magnetic monopole: position-dependent mass correspondence and isospectrality
• Revisiting the missing He-McKellar-Wilkens geometric quantum phase
• Generalized Duffin-Kemmer-Petiau oscillator under Aharonov-Bohm flux in topological defects backgrounds
• KG-oscillators in Eddington-inspired Born-Infeld gravity: Wu-Yang magnetic monopole and Ricci scalar curvature effects
• Comment on "Neutrino interaction with matter in a noninertial frame"
• Algebraic solution and coherent states for the Dirac oscillator interacting with the Aharonov-Casher system in the cosmic string background
• The harmonic oscillator in a space with a screw dislocation
• Charged Dirac fermions with anomalous magnetic moment in the presence of the chiral magnetic effect and of a noncommutative phase space
• Comment on "Galvano-rotational effect induced by electroweak interactions in pulsars"
• Interaction of the generalized Duffin-Kemmer-Petiau equation with a non-minimal coupling under the cosmic rainbow gravity
• Comment on "Quantum phase transitions of Dirac particles in a magnetized rotating curved background: Interplay of geometry, magnetization, and thermodynamics"