Classical Dynamical Systems from q-algebras:"cluster" variables and explicit solutions

Details Classical Dynamical Systems from q-algebras:"cluster" variables and explicit solutions Classical Dynamical Systems from q-algebras:"cluster" variables and explicit solutions

2003-07-08

arxiv.org/abs/math-ph/0307013v1

Physics

Mathematical Physics

19 Latex pages, No figures

Scientific paper

10.1088/0305-4470/36/42/007

A general procedure to get the explicit solution of the equations of motion for N-body classical Hamiltonian systems equipped with coalgebra symmetry is introduced by defining a set of appropriate collective variables which are based on the iterations of the coproduct map on the generators of the algebra. In this way several examples of N-body dynamical systems obtained from q-Poisson algebras are explicitly solved: the q-deformed version of the sl(2) Calogero-Gaudin system (q-CG), a q-Poincare' Gaudin system and a system of Ruijsenaars type arising from the same (non co-boundary) q-deformation of the (1+1) Poincare' algebra. Also, a unified interpretation of all these systems as different Poisson-Lie dynamics on the same three dimensional solvable Lie group is given.

Affiliated with

Also associated with

No associations

Rating

Classical Dynamical Systems from q-algebras:"cluster" variables and explicit solutions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Classical Dynamical Systems from q-algebras:"cluster" variables and explicit solutions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classical Dynamical Systems from q-algebras:"cluster" variables and explicit solutions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-10812