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

Mathematical Physics 2015-06-26 v2 math.MP

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 (AlA_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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Cite

@article{arxiv.math-ph/0205039,
  title  = {On frequencies of small oscillations of some dynamical systems associated with root systems},
  author = {A. M. Perelomov},
  journal= {arXiv preprint arXiv:math-ph/0205039},
  year   = {2015}
}

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