Joakim Arnlind
(Royal Institute of Technology, Stockholm)
Eigenvalue Dynamics off the Calogero-Moser system
By finding N(N-1)/2 suitable conserved
quantities, free motions of real symmetric N×N
matrices X(t), with arbitrary initial conditions, are reduced to non-linear equations involving only the
eigenvalues of X - in contrast to the rational Calogero-Moser system, for which
[X(0), dot{X}(0)] has to be purely imaginary, of rank one.