A dinâmica quântica de uma partícula neutra em um meio que viola a simetria de Lorentz.

Abstract

In this work, we study some influences of unconventional physics, such as the effects of the Lorentz-symmetry violation, on quantum mechanical effects. We analyse the quantum dynamics of a neutral spin- 1/2 particle that moves in a Lorentz-symmetry violating background. This system is mapped by a CPT-odd non-minimal coupling between bosons and fermions. In the non-relativistic limit, we study the geometric phase for this model by taking in to account the influence of the parameter in which controls the Lorentz symmetry. Thus, we use the formule this geometric phases to impose a experimental limits to magnitude on such background. In addition, we obtained a analogy with the Landau levels and the quantum Hall conductivity related to low energy systems.