IIMAS - FENOMEC
UNAM
Polynomial Integrable Systems
Resumen:
Notion of a polynomial integrable system is introduced. It is stated that
(i) any Calogero-Moser model (including TTW model) is
canonically-equivalent to a polynomial integrable system,
its Hamiltonian and integrals are polynomials in p and q.
(ii) for any Calogero-Moser model there exists a change
of variables in which the potential in a rational function.
(iii) any Calogero-Moser model is equivalent to Euler-Arnold
top in a constant magnetic field with algebra gl(n)
(for a classical Weyl group) with constancy of Casimir
operators as a constraint.
(iv) 3-body elliptic Calogero model is presented as an example.
Informes: coloquiomym@gmail.com, o al 5622-3564.