Relativistic Landau quantization for a neutral particle
K. Bakke, C. Furtado
TL;DR
This paper investigates the relativistic Landau quantization of a neutral particle with a magnetic dipole moment interacting with an electric field, solving the Dirac equation for different configurations.
Contribution
It introduces an analog of Landau levels for a neutral particle via the Aharonov-Casher effect, solving the Dirac equation for specific field setups.
Findings
Eigenfunctions and eigenvalues are explicitly obtained.
The system exhibits quantized energy levels similar to Landau levels.
The analysis extends Landau quantization to neutral particles with magnetic moments.
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.
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