Superintegrable relativistic systems in scalar background fields
Mathematical Physics
2018-12-05 v2 math.MP
Abstract
We consider a relativistic charged particle in a background scalar field depending on both space and time. Poincar\'e, dilation and special conformal symmetries of the field generate conserved quantities in the charge motion, and we exploit this to generate examples of superintegrable relativistic systems. We also show that the corresponding single-particle wavefunctions needed for the quantum scattering problem can be found exactly, by solving the Klein-Gordon equation.
Cite
@article{arxiv.1805.00375,
title = {Superintegrable relativistic systems in scalar background fields},
author = {L. Ansell and T. Heinzl and A. Ilderton},
journal= {arXiv preprint arXiv:1805.00375},
year = {2018}
}
Comments
Version 2: 17 pages, two PDF figures. Various discussions extended. Matches version to appear in J.Phys.A