Integrability meets the charged relativistic particle
High Energy Physics - Theory
2023-07-27 v1 Mathematical Physics
math.MP
Pattern Formation and Solitons
Exactly Solvable and Integrable Systems
Abstract
We notice an analogy between the motion of a relativistic particle with external homogeneous and time-dependent electromagnetic fields and the Dik'ii-Eilenberger equation for the Bogoliubov-de Gennes equation. By means of the integrable defocusing nonlinear Schr\"odinger hierarchy and their solitons appearing in the Gross-Neveu and Nambu-Jona-Lasinio models, we construct an infinite family of solutions of the Lorentz equation with non-vanishing curvature and torsion.
Cite
@article{arxiv.2307.13741,
title = {Integrability meets the charged relativistic particle},
author = {Francisco Correa and Justo López-Sarrión},
journal= {arXiv preprint arXiv:2307.13741},
year = {2023}
}
Comments
5 pages, 4 figures