Aharonov-Bohm scattering for relativistic particles in (3 + 1)-dimensional noncommutative space with spin dependence
High Energy Physics - Theory
2019-05-30 v1
Abstract
We study the effects of noncommutativity of spacetime with mixed spatial and spin degrees of freedom in a relativistic context. Using the Dirac equation in (3+1) dimensions and in a symmetric gauge, we calculate the invariant amplitude for a small magnetic field flux. The parameter {\theta} that characterizes the noncommutativity here is not constant, and the model preserves Lorentz symmetry. A comparison is made with scattering in the context of canonical noncommutativity.
Keywords
Cite
@article{arxiv.1905.12538,
title = {Aharonov-Bohm scattering for relativistic particles in (3 + 1)-dimensional noncommutative space with spin dependence},
author = {C. A. Stechhahn},
journal= {arXiv preprint arXiv:1905.12538},
year = {2019}
}
Comments
9 pages and 1 figure