Two-Body Mass-Shell Constraints in a Constant Magnetic Field (Neutral Case)
High Energy Physics - Theory
2011-08-17 v1 Mathematical Physics
math.MP
Abstract
A constant homogeneous magnetic field is applied to a composite system made of two scalar particles with opposite charges. Motion is described by a pair of coupled Klein-Gordon equations that are written in closed form with help of a suitable representation. The relativistic symmetry associated with the magnetic field is carefully respected. Considering eigenstates of the pseudo momentum four-vector, we separate out collective variables and obtain a 3- dimensional reduced equation, posing a nonconventional eigenvalue problem. The velocity of the system as a whole generates "motional" terms in the formulas these terms are taken into account within a manifestly covariant framework.
Keywords
Cite
@article{arxiv.hep-th/9907010,
title = {Two-Body Mass-Shell Constraints in a Constant Magnetic Field (Neutral Case)},
author = {Philippe Droz-Vincent},
journal= {arXiv preprint arXiv:hep-th/9907010},
year = {2011}
}
Comments
14 pages, LaTeX file, no figure