Torsion and noninertial effects on a nonrelativistic Dirac particle

Abstract

We investigate torsion and noninertial effects on a spin-$1/2$ quantum particle in the nonrelativistic limit of the Dirac equation. We consider the cosmic dislocation spacetime as a background and show that a rotating system of reference can be used out to distances which depend on the parameter related to the torsion of the defect. Therefore, we analyse torsion effects on the spectrum of energy of a nonrelativistic Dirac particle confined to a hard-wall potential in a Fermi-Walker reference frame.

References in corpus (21)

• Topological Insulators
• Physical Aspects of the Space-Time Torsion
• Volterra Distortions, Spinning Strings, and Cosmic Defects
• Rashba coupling in quantum dots: exact solution
• Topological Phases in Graphitic Cones
• Dirac Equation For Cold Atoms In Artificial Curved Spacetimes
• Constraints on Space-Time Torsion from Hughes-Drever Experiments
• Geometric Phases in Graphitic Cones
• Dislocations and torsion in graphene and related systems
• Noninertial effects on the Dirac oscillator in a topological defect spacetime
• Threading dislocation densities in semiconductor crystals: a geometric approach
• Parallel Transport of Electrons in Graphene Parallels Gravity
• Noninertial effects on the ground state energy of a massive scalar field in the cosmic string spacetime
• Gravitational Geometric Phase in the Presence of Torsion
• Geodesics around line defects in elastic solids
• Geodesics around a dislocation
• Spacetime rotation-induced Landau quantization
• On the interaction of massive spinor particles with external electromagnetic and torsion fields
• Thermal Casimir effect for neutrino and electromagnetic fields in closed Friedmann cosmological model
• Dirac equations in curved space-time versus Papapetrou spinning particles
• Spin currents in non-inertial frames

Cited by in corpus (19)

• Relativistic quantum oscillators in the global monopole 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
• 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
• Torsion effects on a relativistic position-dependent mass system
• Feshbach-Villars oscillator (FVO) in Kaluza-Klein Theory (KKT)
• Deformations of the spin currents by topological screw dislocation and cosmic dispiration
• Relativistic spin-0 Duffin-Kemmer-Petiau equation in Bonnor-Melvin-Lambda solution
• Quantum dynamics of spin-0 particles in a cosmological space-time
• 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
• Modification of Landau levels in a two-dimensional ring due to rotation effects and edge states
• 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
• Hall conductivity in the cosmic defect and dislocation space-time
• The harmonic oscillator in a space with a screw dislocation
• Rotation effects on the graphene wormhole energy levels
• Comment on "Galvano-rotational effect induced by electroweak interactions in pulsars"
• Effects of rotation on the thermodynamic properties of a quantum dot