Torsion effects on a relativistic position-dependent mass system

Abstract

We analyse a relativistic scalar particle with a position-dependent mass in a spacetime with a space-like dislocation by showing that relativistic bound states solutions can be achieved. Further, we consider the presence of the Coulomb potential and analyse the relativistic position-dependent mass system subject to the Coulomb potential in the spacetime with a space-like dislocation. We also show that a new set of relativistic bound states solutions can be obtained, where there also exists the influence of torsion of the relativistic energy levels. Finally, we investigate an analogue of the Aharonov-Bohm effect for bound states in this position-dependent mass in a spacetime with a space-like dislocation.

arXiv comment13 pages

References in corpus (22)

• Effective Mass of One 4he Atom in Liquid 3he
• 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
• Exact solvability of potentials with spatially dependent effective masses
• Volterra Distortions, Spinning Strings, and Cosmic Defects
• Solution of the Dirac equation with position-dependent mass in the Coulomb field
• On the Klein-Gordon oscillator subject to a Coulomb-type potential
• Persistent spin and mass currents and Aharonov-Casher effect
• 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
• Iordanskii Force and the Gravitational Aharonov-Bohm effect for a Moving Vortex
• Scattering of dislocated wavefronts by vertical vorticity and the Aharonov-Bohm effect I: Shallow water
• Remarks on supersymmetry of quantum systems with position-dependent effective masses
• Analytic results in the position-dependent mass Schrodinger problem
• Torsion and noninertial effects on a nonrelativistic Dirac particle
• Bound states of massive fermions in the Aharonov--Bohm-like fields
• Nonlinear Aharonov-Bohm scattering by optical vortices
• Analogue Aharonov-Bohm effect in neo-Newtonian theory
• Interaction of surface waves with vorticity in shallow water
• An angular frequency dependence on the Aharonov-Casher geometric phase
• Position-dependent-mass; Cylindrical coordinates, separability, exact solvability, and PT-symmetry
• $\eta$-weak-pseudo-Hermiticity generators and radially symmetric Hamiltonians

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• The generalized Klein-Gordon oscillator in the background of cosmic string space-time with a linear potential in the Kaluza-Klein theory
• Harmonic oscillator in an elastic medium with a spiral dislocation
• Linear confinement of a scalar particle in a Gödel-type spacetime
• The generalized Klein-Gordon oscillator in a Cosmic Space-Time with a Space-Like Dislocation and the Aharonov-Bohm Effect
• PDM Klein-Gordon oscillators in cosmic string spacetime in magnetic and Aharonov-Bohm flux fields within the Kaluza-Klein theory
• Non-relativistic quantum effects on the harmonic oscillator in a spacetime with a distortion of a vertical line into a vertical spiral
• Coulomb-type interaction under Lorentz symmetry breaking effects
• The generalized Klein-Gordon oscillator with position-dependent mass in a particular Gödel-type space-time
• 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
• Doubly anharmonic oscillator under the topological effects of a screw dislocation
• Noninertial effects on nonrelativistic topological quantum scattering
• Interaction of the magnetic quadrupole moment of a non-relativistic particle with an electric field in the background of screw dislocations with a rotating frame
• Scalar Casimir effect in a high-dimensional cosmic dispiration spacetime
• Lorentz-violating extension of the spin-one Duffin-Kemmer-Petiau equation
• 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
• On the Majorana fermion subject to a linear confinement
• Quantum influence of topological defects on a relativistic scalar particle with Cornell-type potential in cosmic string space-time with a spacelike dislocation
• 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
• Quasibound states for a scalar field under the influence of an external magnetic field in the near-horizon geometry of the BTZ black hole with torsion
• The harmonic oscillator in a space with a screw dislocation