paper

On frequencies of small oscillations of some dynamical systems associated with root systems

arXiv:math-ph/0205039 · doi:10.2991/jnmp.2003.10.1.8

Abstract

In the paper by F. Calogero and author [Commun. Math. Phys. 59 (1978) 109-116] the formula for frequencies of small oscillations of the Sutherland system ( case) was found. In present note the generalization of this formula for the case of arbitrary root system is given.

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