The Dirac equation in an external electromagnetic field: symmetry algebra and exact integration
Mathematical Physics
2017-01-06 v1 math.MP
Quantum Physics
Abstract
Integration of the Dirac equation with an external electromagnetic field is explored in the framework of the method of separation of variables and of the method of noncommutative integration. We have found a new type of solutions that are not obtained by separation of variables for several external electromagnetic fields. We have considered an example of crossed electric and magnetic fields of a special type for which the Dirac equation admits a nonlocal symmetry operator
Keywords
Cite
@article{arxiv.1509.08612,
title = {The Dirac equation in an external electromagnetic field: symmetry algebra and exact integration},
author = {A. I. Breev and A. V. Shapovalov},
journal= {arXiv preprint arXiv:1509.08612},
year = {2017}
}