Integrable Systems with Pairwise Interactions and Functional Equations

Details Integrable Systems with Pairwise Interactions and Functional Equations Integrable Systems with Pairwise Interactions and Functional Equations

1994-11-30

arxiv.org/abs/hep-th/9411240v2

Physics

High Energy Physics

High Energy Physics - Theory

32 pages latex2e. Some Proofs removed. New Examples

Scientific paper

A new ansatz is presented for a Lax pair describing systems of particles on the line interacting via (possibly nonsymmetric) pairwise forces. Particular cases of this yield the known Lax pairs for the Calogero-Moser and Toda systems, as well as their relativistic generalisations. The ansatz leads to a system of functional equations. Several new functional equations are described and the general analytic solution to some of these is given. New integrable systems are described.

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