Relativistic two-boson system in presence of electromagnetic plane waves
High Energy Physics - Theory
2016-05-27 v3
Abstract
The relativistic two-body problem is considered for spinless particles subject to an external macroscopic electromagnetic field. When this field is made of the monochromatic superposition of two counter-propagating plane waves (and provided the mutual interaction between particles is known), it is possible to write down explicitly a pair of coupled wave equations (corresponding to a pair of mass-shell constraints) which takes into account also the field contribution. These equations are manifestly covariant; constants of the motion are exhibited, so one ends up with a reduced problem involving five degrees of freedom.
Keywords
Cite
@article{arxiv.1507.01870,
title = {Relativistic two-boson system in presence of electromagnetic plane waves},
author = {Philippe Droz-Vincent},
journal= {arXiv preprint arXiv:1507.01870},
year = {2016}
}
Comments
21 pages, no figure. Revised version; two errors corrected; Section 2.2 clarified. To be published in Int.J.of Theor.Phys