A Landau-type quantization from a Lorentz symmetry violation background with crossed electric and magnetic fields

Abstract

We investigate the arising of an analogue of the Landau quantization from a background of the violation of the Lorentz symmetry established by a time-like 4-vector and a field configuration of crossed electric and magnetic field. We also analyse the effects on this Landau-type system subject to a hard-wall confining potential by showing a particular case where a discrete spectrum of energy can be obtained. Further, we analyse the effects of a linear confining potential on the Landau-type system. We show that a quantum effect characterized by the dependence of the cyclotron frequency on the quantum numbers of the system can arise in this analogue of the Landau system. As an example, we calculate the cyclotron frequency associated with ground state of the system.

To be published in J. Phys. G: Nucl. Part. Phys. arXiv admin note: text overlap with arXiv:1412.5078

References in corpus (9)

• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• On the Klein-Gordon oscillator subject to a Coulomb-type potential
• Magnetic Moment Generation from non-minimal couplings in a scenario with Lorentz-Symmetry Violation
• Lorentz-violating corrections on the hydrogen spectrum induced by a non-minimal coupling
• A new CPT-even and Lorentz-Violating nonminimal coupling in the Dirac equation
• A Comment on the Topological Phase for Anti-Particles in a Lorentz-violating environment
• Effects of quantum deformation on the spin-1/2 Aharonov-Bohm problem
• Remarks on the Aharonov-Casher dynamics in a CPT-odd Lorentz-violating background
• On the influence of a Rashba-type coupling induced by Lorentz-violating effects on a Landau system for a neutral particle

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