2009/02/09 by K. Bakke, C. Furtado · 57 citations
Mathematics · Physics and Astronomy · #Classical mechanics #Dipole #Dirac equation #Eigenfunction #Eigenvalues and eigenvectors #Electric field #Hamiltonian (control theory) #Landau quantization #Magnetic dipole #Magnetic field #Mathematics #Physics #Quantization (signal processing) #Quantum Mechanics and Non-Hermitian Physics #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Spectral Theory in Mathematical Physics #quant-ph
paper · pdf · doi:10.1103/physreva.80.032106
published in Physical Review A 80(3) (American Physical Society) · 9 pages, no figures
arxiv created 2009/02/09 · openalex publication_date 2009/09/10 · arxiv updated 2015/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this contribution we study the Landau levels arising within the relativistic quantum dynamics of a neutral particle with a permanent magnetic dipole moment interacting with an external electric field. We consider the Aharonov-Casher coupling of the magnetic dipole to the electric field and investigate an analog of Landau quantization in this system for two different field configurations. In both cases we obtain the eigenfunctions and eigenvalues of the Hamiltonian.