Relativistic geometric quantum phases from the Lorentz symmetry violation effects in the CPTeven gauge sector of Standard Model Extension
Abstract
We discuss the appearance of geometric quantum phases for a Dirac neutral particle in the context of relativistic quantum mechanics based on possible scenarios of the Lorentz symmetry violation tensor background in the CPTeven gauge sector of Standard Model Extension. We assume that the Lorentz symmetry breaking is determined by a tensor background given by (KF)μναβ, then, relativistic analogues of the Anandan quantum phase [J. Anandan, Phys. Lett. A 138, 347 (1989)] are obtained based on the parityeven and parityodd sectors of the tensor (KF)μναβ.
 Publication:

International Journal of Modern Physics A
 Pub Date:
 November 2015
 DOI:
 10.1142/S0217751X15501973
 arXiv:
 arXiv:1412.5080
 Bibcode:
 2015IJMPA..3050197B
 Keywords:

 Lorentz symmetry violation;
 geometric phase;
 Dirac neutral particles;
 Anandan quantum phase;
 Aharonov–Casher effect;
 He–McKellar–Wilkens effect;
 scalar Aharonov–Bohm effect;
 11.30.Cp;
 03.65.Pm;
 03.65.Ge;
 03.65.Vf;
 Lorentz and Poincare invariance;
 Relativistic wave equations;
 Solutions of wave equations: bound states;
 Phases: geometric;
 dynamic or topological;
 High Energy Physics  Theory;
 Quantum Physics
 EPrint:
 16 pages, no figure. arXiv admin note: text overlap with arXiv:1304.4833