Relativistic quantum dynamics of neutral particle in external electric fields: An approach on effects of spin
Abstract
The planar quantum dynamics of spin-1/2 neutral particle interacting with electrical fields is considered. A set of first order differential equations are obtained directly from the planar Dirac equation with nonminimum coupling. New solutions of this system, in particular, for the Aharonov-Casher effect, are found and discussed in detail. Pauli equation is also obtained by studying the motion of the particle when it describes a circular path of constant radius. We also analyze the planar dynamics in the full space, including the region. The self-adjoint extension method is used to obtain the energy levels and wave functions of the particle for two particular values for the self-adjoint extension parameter. The energy levels obtained are analogous to the Landau levels and explicitly depend on the spin projection parameter.
Keywords
Cite
@article{arxiv.1506.03689,
title = {Relativistic quantum dynamics of neutral particle in external electric fields: An approach on effects of spin},
author = {F. S. Azevedo and Edilberto O. Silva and Luis B. Castro and Cleverson Filgueiras and D. Cogollo},
journal= {arXiv preprint arXiv:1506.03689},
year = {2015}
}