Relativistic analogues of the Aharonov-Bohm effect and the Landau quantization with the Lorentz symmetry violation determined by azimuthal electric fields and a fixed vector field

DOI10.1007/S10773-020-04596-WzbMath1462.81102OpenAlexW3087256588MaRDI QIDQ2024806

Yanyan Li

Publication date: 4 May 2021

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-020-04596-w

zbMATH Keywords

Aharonov-Bohm effectLorentz symmetry violationDirac particleAharonov-Anandan quantum phasegeometric quantum phaserelativistic Landau quantization

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Spinor and twistor methods applied to problems in quantum theory (81R25) Many-body theory; quantum Hall effect (81V70) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (1)

Effects of the Lorentz symmetry violation caused by the coupling between the vector field \(f^\mu\gamma^5\) and the derivative of the fermionic field on the modified Pöschl-Teller, Woods-Saxon and harmonic oscillator potentials

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