Landau Quantization of Neutral Particles in an External Field
Claudio Furtado, J. R. Nascimento, L. R. Ribeiro

TL;DR
This paper investigates the Landau quantization of neutral particles with induced electric dipoles in crossed electric and magnetic fields, deriving exact energy levels and eigenfunctions for this quantum system.
Contribution
It introduces an exact analysis of Landau-like energy levels for neutral particles with induced dipoles under specific external field configurations, extending quantum Landau level concepts.
Findings
Exact energy levels and eigenfunctions derived
Neutral particles exhibit Landau quantization in this setup
The system mimics charged particle behavior in magnetic fields
Abstract
The quantum dynamics of an induced electric dipole in the presence of a configuration of crossed electric and magnetic fields is analyzed. This field configuration confines the dipole in a plane and produces a coupling similar to the coupling of a charged particle in the presence of external magnetic field. In this work we investigate the analog of Landau levels in induced electric dipoles in a sistem of neutral particles. The energy levels and eigenfunctions are obtained exactly.
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