Neumann-like integrable models
arXiv:math-ph/0512027 · doi:10.1016/j.physleta.2006.07.020
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.
8 pages; latex2e;no figure. To appear in Physics Letters A