Lorentz symmetry violation and an Analog of Landau levels

Details Lorentz symmetry violation and an Analog of Landau levels Lorentz symmetry violation and an Analog of Landau levels

2008-02-20

arxiv.org/abs/0802.2817v2

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, no figures, v2: new title,new version

Scientific paper

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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