Aharonov-Bohm effect for bound states in relativistic scalar particle systems in a spacetime with a space-like dislocation
arXiv:1707.03371 · doi:10.1142/S0218271818500050
Abstract
We investigate the analogue effect of the Aharonov-Bohm effect for bound states in two relativistic quantum systems in a spacetime with a space-like dislocation. We assume that the topological defect has an internal magnetic flux. Then, we analyse the interaction of a charged particle with a uniform magnetic field in this topological defect spacetime, and thus, we extend this analysis to the confinement to a hard-wall potential and a linear scalar potential. Later, the interaction of the Klein-Gordon oscillator with a uniform magnetic field is analysed. We first focus on the effects of torsion that stem from the spacetime with a space-like dislocation and the geometric quantum phase. Then, we analyse the effects of torsion and the geometric quantum phase under the presence of a hard-wall potential and a linear scalar potential.
arXiv comment20 pages, no figure
References in corpus (22)
- Solutions of the nonrelativistic wave equation with position-dependent effective mass
- 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
- Landau Levels in the Presence of Topological Defects
- 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 the interaction of the Dirac oscillator with the Aharonov-Casher system in topological defect backgrounds
- Rotating effects on the Dirac oscillator in the cosmic string spacetime
- Towards a quantum Hall effect for atoms using electric fields
- Landau Quantization of Neutral Particles in an External Field
- Landau Levels Analog to Electric Dipole
- Klein-Gordon equation particles in exponential-type molecule potentials and its thermodynamic properties in D- dimensions
- Relativistic Landau Levels in the Rotating Cosmic String Spacetime
- Thermodynamic properties of neutral particle in presence of Topological defects in Magnetic Cosmic String Background
- Landau quantization, Aharonov-Bohm effect and two-dimensional pseudoharmonic quantum dot around a screw dislocation
- Torsion effects on a relativistic position-dependent mass system
- 2DEG on a cylindrical shell with a screw dislocation
- Torsion and noninertial effects on a nonrelativistic Dirac particle
- Deformations of the spin currents by topological screw dislocation and cosmic dispiration
- On an atom with a magnetic quadrupole moment subject to harmonic and linear confining potentials
- Dirac Equations with Confining Potentials
- Effect of cosmic string on spin dynamics
Cited by in corpus (26)
- Relativistic quantum oscillators in the global monopole spacetime
- The Dirac oscillator in a spinning cosmic string spacetime
- Rotating effects on the scalar field in the cosmic string spacetime, in the spacetime with space-like dislocation and in the spacetime with a spiral dislocation
- The generalized Klein-Gordon oscillator in the background of cosmic string space-time with a linear potential in the Kaluza-Klein theory
- The generalized Klein-Gordon oscillator in a Cosmic Space-Time with a Space-Like Dislocation and the Aharonov-Bohm Effect
- Non-relativistic quantum effects on the harmonic oscillator in a spacetime with a distortion of a vertical line into a vertical spiral
- Study of scalar particles through the Klein-Gordon equation under rainbow gravity effects in Bonnor-Melvin-Lambda space-time
- Feshbach-Villars oscillator (FVO) in Kaluza-Klein Theory (KKT)
- Topological and rotating effects on the Dirac field in the spiral dislocation spacetime
- Linear confinement of generalized KG-oscillator with a uniform magnetic field in Kaluza-Klein theory and Aharonov-Bohm effect
- Topological and noninertial effects in an Aharonov-Bohm ring
- Confined Klein-Gordon oscillators in Minkowski spacetime and a pseudo-Minkowski spacetime with a space-like dislocation: PDM KG-oscillators, isospectrality and invariance
- Klein-Gordon oscillator in the presence of external fields in a cosmic space-time with a spacelike dislocation and Aharonov-Bohm effect
- Quantum dynamics of spin-0 particles in a cosmological space-time
- Effects of linear Central potential induced by Lorentz symmetry breaking on a generalized Klein-Gordon Oscillator
- Lorentz-violating extension of the spin-one Duffin-Kemmer-Petiau equation
- Non-commutativity and non-inertial effects on a scalar field in a cosmic string space-time. Part 1: Klein-Gordon oscillator
- On the missing magnetic flux and topological effects of a screw dislocation on a charged particle in an inhomogeneous magnetic field
- Spin- scalar particle interacts with scalar potential in the presence of magnetic field and quantum flux under the effects of KKT in cosmic string space-time
- Effects of Kaluza-Klein theory and potential on a generalized Klein-Gordon oscillator in the cosmic string space-time
- Generalized KG-oscillator with a uniform magnetic field under the influence of Coulomb-type potentials in cosmic string space-time and Aharonov-Bohm effect
- Quantum influence of topological defects on a relativistic scalar particle with Cornell-type potential in cosmic string space-time with a spacelike dislocation
- Effects of rotation and Coulomb type potential on the spin-1/2 Aharonov-Bohm problem
- Klein-Gordon particles in Gödel-type Som-Raychaudhuri cosmic string spacetime and the phenomenon of spacetime associated degeneracies
- A most misunderstood conditionally-solvable quantum-mechanical model
- Comment on "Galvano-rotational effect induced by electroweak interactions in pulsars"