Neumann-like integrable models

Details Neumann-like integrable models Neumann-like integrable models

2005-12-09

arxiv.org/abs/math-ph/0512027v2

Physics Letters A 360 (2007) 435-438

Physics

Mathematical Physics

8 pages; latex2e;no figure. To appear in Physics Letters A

Scientific paper

10.1016/j.physleta.2006.07.020

A countable class of integrable dynamical systems, with four dimensional
phase space and conserved quantities in involution (H\_n,I\_n) are exhibited.
For $n=1$ we recover Neumann sytem on T*S^2. All these systems are also
integrable at the quantum level.

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