Torsion effects on a relativistic position-dependent mass system
arXiv:1611.06111 · doi:10.1007/s10714-016-2156-9
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.
13 pages
References in corpus (4)
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Cited by in corpus (11)
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- 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
- Coulomb-type interaction under Lorentz symmetry breaking effects
- The generalized Klein-Gordon oscillator with position-dependent mass in a particular Gödel-type space-time
- 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
- 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
- The harmonic oscillator in a space with a screw dislocation