New solutions of relativistic wave equations in magnetic fields and longitudinal fields
High Energy Physics - Theory
2009-11-07 v3 Mathematical Physics
math.MP
Quantum Physics
Abstract
We demonstrate how one can describe explicitly the present arbitrariness in solutions of relativistic wave equations in external electromagnetic fields of special form. This arbitrariness is connected to the existence of a transformation, which reduces effectively the number of variables in the initial equations. Then we use the corresponding representations to construct new sets of exact solutions, which may have a physical interest. Namely, we present new sets of stationary and nonstationary solutions in magnetic field and in some superpositions of electric and magnetic fields.
Keywords
Cite
@article{arxiv.hep-th/0110037,
title = {New solutions of relativistic wave equations in magnetic fields and longitudinal fields},
author = {V. G. Bagrov and M. C. Baldiotti and D. M. Gitman and I. V. Shirokov},
journal= {arXiv preprint arXiv:hep-th/0110037},
year = {2009}
}
Comments
25 pages, LaTex file