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

DOI10.1016/j.aop.2013.06.007zbMath1286.81090arXiv1307.2888OpenAlexW3099567844MaRDI QIDQ2442351

Claudio Furtado, Knut Bakke

Publication date: 3 April 2014

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.2888

zbMATH Keywords

Aharonov-Casher effectDirac oscillatorpermanent magnetic dipole momenttopological defect spacetime

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Special relativity (83A05) Equations of motion in general relativity and gravitational theory (83C10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

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Cites Work

• Unnamed Item
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• Relativistic bounds states for a neutral particle confined to a parabolic potential induced by noninertial effects
• Resonances in the one-dimensional Dirac equation in the presence of a point interaction and a constant electric field
• Erratum to: gravitational geometric phase in the presence of torsion
• Theory of defects in solids and three-dimensional gravity
• Classical and quantum scattering on a spinning cone
• One-dimensional Dirac oscillator in a thermal bath
• On the confinement of a Dirac particle to a two-dimensional ring
• Dirac oscillator in an external magnetic field
• Energy spectrum of a 2D Dirac oscillator in the presence of the Aharonov-Bohm effect
• A charged particle with magnetic moment in a medium with a disclination
• THE ANALOGUE OF THE AHARONOV–BOHM EFFECT FOR BOUND STATES FOR NEUTRAL PARTICLES
• The Dirac equation in orthogonal coordinate systems. I. The local representation
• Significance of Electromagnetic Potentials in the Quantum Theory
• RELATIVISTIC LANDAU–AHARONOV–CASHER QUANTIZATION IN TOPOLOGICAL DEFECT SPACE–TIME
• Quantal phase factors accompanying adiabatic changes
• SUPERSYMMETRY AND THE DIRAC OSCILLATOR
• Dirac oscillator with nonzero minimal uncertainty in position
• Dual Aharonov–Bohm Effect
• GEOMETRIC PHASES AND TOPOLOGICAL QUANTUM COMPUTATION
• The Dirac oscillator. A relativistic version of the Jaynes-Cummings model
• Symmetry Lie algebra of the Dirac oscillator
• Quantum Fields in Curved Space
• Cosmic strings and domain walls
• Physical aspects of the space-time torsion