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Explicit solutions of the classical Calogero and Sutherland systems for any root system
Explicit solutions of the classical Calogero (rational with/without harmonic confining potential) and Sutherland (trigonometric potential) systems is obtained by diagonalization of certain matrices of simple time evolution. The method works for Calogero & Sutherland systems based on any root system. It generalizes the well-known results by Olshanetsky and Perelomov for …