Landau quantization for a neutral particle in presence of topological defects

TL;DR

This paper investigates how topological defects in curved spacetime affect Landau quantization of neutral particles with magnetic or electric dipoles, revealing degeneracy breaking and duality effects.

Contribution

It introduces a detailed analysis of Landau levels for neutral particles in curved spacetime with topological defects, including degeneracy breaking and duality transformations.

Findings

Topological defects break the infinite degeneracy of Landau levels.

Eigenfunctions and eigenvalues are explicitly derived.

Duality transformation relates magnetic and electric dipole cases.

Abstract

In this paper we study the Landau levels in the non-relativistic dynamics of a neutral particle which possesses a permanent magnetic dipole moment interacting with an external electric field in the curved spacetime background with the presence or absence of a torsion field. The eigenfunction and eigenvalues of Hamiltonian are obtained. We show that the presence of the topological defect breaks the infinite degeneracy of the Landau levels arising in this system. We also apply a duality transformation to discuss this same quantization for a dynamics of a neutral particle with a permanent electric dipole moment.