Superintegrable relativistic systems in spacetime-dependent background fields
Mathematical Physics
2017-09-13 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
We consider a relativistic charged particle in background electromagnetic fields depending on both space and time. We identify which symmetries of the fields automatically generate integrals (conserved quantities) of the charge motion, accounting fully for relativistic and gauge invariance. Using this we present new examples of superintegrable relativistic systems. This includes examples where the integrals of motion are quadratic or nonpolynomial in the canonical momenta.
Cite
@article{arxiv.1701.09168,
title = {Superintegrable relativistic systems in spacetime-dependent background fields},
author = {Tom Heinzl and Anton Ilderton},
journal= {arXiv preprint arXiv:1701.09168},
year = {2017}
}
Comments
14 pages