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

TL;DR

This paper explores Landau analog energy quantization for neutral particles with dipole moments in noncommutative quantum mechanics, deriving spectra and eigenfunctions in various noncommutative spaces and field configurations.

Contribution

It introduces new Landau analog quantization results for dipoles in noncommutative space and phase space, extending quantum spectral analysis in these contexts.

Findings

Derived energy spectra for dipoles in noncommutative space.

Obtained eigenfunctions corresponding to these spectra.

Extended Landau quantization concepts to noncommutative 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.