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Rigidity, Functional Equations and the Calogero-Moser Model

H. W. Braden
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Abstract

Suppose we have a natural Hamiltonian $H$ of $n$ particles on the line, centre of mass momentum $P$ and a further independent quantity $Q$, cubic in the momenta. If these are each $S_{n}$ invariant and mutually Poisson commute we have the Calogero-Moser system with potential $V={1/6}\sum\limits_{i\neq j}\wp(q_{i}-q_{j}) +const$.

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H. W. Braden. 2000-05-22. Rigidity, Functional Equations and the Calogero-Moser Model. https://doi.org/10.1088/0305-4470%2F34%2F11%2F312

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