New exactly solvable relativistic models with anomalous interaction
Quantum Physics
2018-09-05 v3 High Energy Physics - Theory
Abstract
A special class of Dirac-Pauli equations with time-like vector potentials of external field is investigated. A new exactly solvable relativistic model describing anomalous interaction of a neutral Dirac fermion with a cylindrically symmetric external e.m. field is presented. The related external field is a superposition of the electric field generated by a charged infinite filament and the magnetic field generated by a straight line current. In non-relativistic approximation the considered model is reduced to the integrable Pron'ko-Stroganov model.
Keywords
Cite
@article{arxiv.0909.5543,
title = {New exactly solvable relativistic models with anomalous interaction},
author = {Elena Ferraro and Antonino Messina and A. G. Nikitin},
journal= {arXiv preprint arXiv:0909.5543},
year = {2018}
}
Comments
20 pages, discussion of the possibility to test the model experimentally id added as an Appendix, typos are corrected