Neumann-like integrable models
Mathematical Physics
2009-11-11 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
A countable class of integrable dynamical systems, with four dimensional phase space and conserved quantities in involution (H\_n,I\_n) are exhibited. For we recover Neumann sytem on T*S^2. All these systems are also integrable at the quantum level.
Cite
@article{arxiv.math-ph/0512027,
title = {Neumann-like integrable models},
author = {Galliano Valent and Hamed Ben Yahia},
journal= {arXiv preprint arXiv:math-ph/0512027},
year = {2009}
}
Comments
8 pages; latex2e;no figure. To appear in Physics Letters A