Relativistic Landau quantization for a neutral particle

Abstract

In this contribution we study the Landau levels arising within the relativistic quantum dynamics of a neutral particle which possesses a permanent magnetic dipole moment interacting with an external electric field. We consider the Aharonov-Casher coupling of magnetic dipole to the electric field to investigate an an analog of Landau quantization in this system and solve the Dirac equation for two different field configurations. The eigenfunctions and eigenvalues of Hamiltonian in both cases are obtained.

9 pages, no figures

References in corpus (14)

• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Chiral tunneling and the Klein paradox in graphene
• Landau level degeneracy and quantum Hall effect in a graphite bilayer
• Simulation and detection of Dirac fermions with cold atoms in an optical lattice
• Quasi-relativistic behavior of cold atoms in light fields
• Landau Quantization of Neutral Particles in an External Field
• Landau Levels Analog to Electric Dipole
• Atomic Zitterbewegung
• The Noncommutative Anandan's Quantum Phase
• Two-Dimensional Electron Gas with Cold Atoms in Non-Abelian Gauge Potentials
• Landau Analog Levels for Dipoles in the Noncommutative Space and Phase Space
• Landau levels of cold atoms in non-Abelian gauge fields
• Relativistic Landau problem at finite temperature
• On atomic analogue of Landau quantization

Cited by in corpus (20)

• Thermodynamic properties of neutral particle in presence of Topological defects in Magnetic Cosmic String Background
• Relativistic Landau-Aharonov-Casher quantization based on the Lorentz symmetry violation background
• An Analogy of the Quantum Hall Condutivity in a Lorentz-symmetry Violation Setup
• Scalar bosons under the influence of noninertial effects in the cosmic string spacetime
• He-McKellar-Wilkens effect and Scalar Aharonov-Bohm effect for a neutral particle based on the Lorentz symmetry violation
• Relativistic Landau-He-McKellar-Wilkens quantization and relativistic bound states solutions for a Coulomb-like potential induced by the Lorentz symmetry breaking effects
• On Aharonov-Casher bound states
• A geometric approach to confining a Dirac neutral particle in analogous way to a quantum dot
• Graphene wormhole trapped by external magnetic field
• New degeneracies and modification of Landau levels in the presence of a parallel linear electric field
• Relativistic quantum dynamics of neutral particle in external electric fields: An approach on effects of spin
• Magnonic Floquet Hofstadter Butterfly
• The relativistic dynamics of oppositely charged two fermions interacting with external uniform magnetic field
• Geometric quantum phase for displaced states for a particle with an induced electric dipole moment
• Noninertial effects on a Dirac neutral particle inducing an analogue of the Landau quantization in the cosmic string spacetime
• Bound and Scattering States in a Spacetime with Dual Topological Defects: Cosmic String and Global Monopole
• Landau-like states in neutral particles
• Cornell and Coulomb potentials in the double defect spacetime
• Realization of cyons and anyons by atoms
• Charged scalar boson in Melvin universe