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

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

2002-05-25

arxiv.org/abs/math-ph/0205039v2

J. Nonlinear Math. Phys., volume 10, no. 1 (2003) 103-109

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Mathematical Physics

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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 ($A_l$ case) was found. In present note the generalization of this
formula for the case of arbitrary root system is given.

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