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arXiv · 0802.2817

Lorentz symmetry violation and an Analog of Landau levels

E. Passos·L. R. Ribeiro·C Furtado·J. R. Nascimento
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Abstract

Within the context of Lorentz violating extended electrodynamics, we study an analog of Landau quantization for a system where a neutral particle moves in the presence of an electromagnetic field and a constant four-vector that breaks Lorentz symmetry. The nonrelativistic Hamiltonian associated to this system is obtained using the Foldy-Wouthuysen transformation for a Dirac spinor. The degenerated energy spectrum is obtained for a time-like and a space-like parameter Lorentz-breaking vector. The energy dependence of the cyclotron rotation direction in terms of supersymmetric quantum mechanics is analyzed.

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E. Passos, L. R. Ribeiro, C Furtado, J. R. Nascimento. 2008-08-14. Lorentz symmetry violation and an Analog of Landau levels. https://arxiv.org/abs/0802.2817

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