Effects of quantum deformation on the spin-1/2 Aharonov-Bohm problem
arXiv:1212.1944 · doi:10.1016/j.physletb.2013.01.062
Abstract
In this letter we study the Aharonov-Bohm problem for a spin-1/2 particle in the quantum deformed framework generated by the -Poincaré-Hopf algebra. We consider the nonrelativistic limit of the -deformed Dirac equation and use the spin-dependent term to impose an upper bound on the magnitude of the deformation parameter . By using the self-adjoint extension approach, we examine the scattering and bound state scenarios. After obtaining the scattering phase shift and the -matrix, the bound states energies are obtained by analyzing the pole structure of the latter. Using a recently developed general regularization prescription [Phys. Rev. D. \textbf{85}, 041701(R) (2012)], the self-adjoint extension parameter is determined in terms of the physics of the problem. For last, we analyze the problem of helicity conservation.
12 pages, no figures, submitted for publication