Mechanical Systems with Poincare Invariance
Exactly Solvable and Integrable Systems
2009-11-07 v1 High Energy Physics - Theory
Abstract
Some years ago Ruijsenaars and Schneider initiated the study of mechanical systems exhibiting an action of the Poincare algebra. The systems they discovered were far richer: their models were actually integrable and possessed a natural quantum version. We follow this early work finding and classifying mechanical systems with such an action. New solutions are found together with a new class of models exhibiting an action of the Galilean algebra. These are related to the functional identities underlying the various Hirzebruch genera. The quantum mechanics is also discussed.
Cite
@article{arxiv.nlin/0110014,
title = {Mechanical Systems with Poincare Invariance},
author = {H. W. Braden and J. G. B. Byatt-Smith},
journal= {arXiv preprint arXiv:nlin/0110014},
year = {2009}
}
Comments
10 pages LaTex, 1 figure