Abelian geometric phase for a Dirac neutral particle in a Lorentz symmetry violation environment

Abstract

We introduce a new term into the Dirac equation based on the Lorentz symmetry violation background in order to make a theoretical description of the relativistic quantum dynamics of a spin-half neutral particle, where the wave function of the neutral particle acquires a relativistic Abelian quantum phase given by the interaction between a fixed time-like 4-vector background and crossed electric and magnetic fields, which is analogous to the geometric phase obtained by Wei \textit{et al} [H. Wei, R. Han and X. Wei, Phys. Rev. Lett. \textbf{75}, 2071 (1995)] for a spinless neutral particle with an induced electric dipole moment. We also discuss the flux dependence of energy levels of bound states analogous to the Aharonov-Bohm effect for bound states.

16 pages, no figures

References in corpus (2)

• Lorentz-violating corrections on the hydrogen spectrum induced by a non-minimal coupling
• A Comment on the Topological Phase for Anti-Particles in a Lorentz-violating environment

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