Goldfishing by gauge theory
Mathematical Physics
2011-03-17 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
A new solvable many-body problem of goldfish type is identified and used to revisit the connection among two different approaches to solvable dynamical systems. An isochronous variant of this model is identified and investigated. Alternative versions of these models are presented. The behavior of the alternative isochronous model near its equilibrium configurations is investigated, and a remarkable Diophantine result, as well as related Diophantine conjectures, are thereby obtained.
Keywords
Cite
@article{arxiv.math-ph/0605077,
title = {Goldfishing by gauge theory},
author = {F. Calogero and E. Langmann},
journal= {arXiv preprint arXiv:math-ph/0605077},
year = {2011}
}
Comments
22 pages