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Integrable Many-Body Systems of Calogero-Moser-Sutherland Type in High Dimension

O. Sheinman
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Abstract

A new series of integrable cases of the many-body problem in many-dimensional spaces is found. That series appears as a part of the larger series of integrable problems, which are in 1-1 correspondence with Krichever-Novikov algebras of affine type (that is with pairs each one consisting of some finite root system and some Riemann surface of finite genus with two marked points).

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O. Sheinman. 1995-11-09. Integrable Many-Body Systems of Calogero-Moser-Sutherland Type in High Dimension. https://arxiv.org/abs/hep-th/9510165

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