Landau Analog Levels for Dipoles in the Noncommutative Space and Phase Space

Abstract

In the present contribution we investigate the Landau analog energy quantization for neutral particles, that possesses a nonzero permanent magnetic and electric dipole moments, in the presence of an homogeneous electric and magnetic external fields in the context of the noncommutative quantum mechanics. Also, we analyze the Landau--Aharonov--Casher and Landau--He--McKellar--Wilkens quantization due to noncommutative quantum dynamics of magnetic and electric dipoles in the presence of an external electric and magnetic fields and the energy spectrum and the eigenfunctions are obtained. Furthermore, we have analyzed Landau quantization analogs in the noncommutative phase space, and we obtain also the energy spectrum and the eigenfunctions in this context.

arXiv comment20 pages, references added

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Cited by in corpus (14)

• Relativistic Landau-Aharonov-Casher quantization based on the Lorentz symmetry violation background
• Relativistic Landau quantization for a neutral particle
• On the Landau system in noncommutative phase-space
• The noncommutative quantum Hall effect with anomalous magnetic moment in three different relativistic scenarios
• Rotating effects on the Landau quantization for an atom with a magnetic quadrupole moment
• 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
• Non-commutativity and non-inertial effects on the Dirac oscillator in a cosmic string space-time
• Non-commutativity and non-inertial effects on a scalar field in a cosmic string space-time. Part 1: Klein-Gordon oscillator
• The relativistic dynamics of oppositely charged two fermions interacting with external uniform magnetic field
• Energy corrections due to the noncommutative phase-space of the charged isotropic harmonic oscillator in a uniform magnetic field in 3D
• Two-dimensional Noncommutative atom Gas with Anandan interaction
• Bound-state solutions for the charged Dirac oscillator in a rotating frame in the Bonnor-Melvin-Lambda spacetime
• Charged Dirac fermions with anomalous magnetic moment in the presence of the chiral magnetic effect and of a noncommutative phase space