Titlebook: Calogero—Moser— Sutherland Models; Jan Felipe Diejen,Luc Vinet Book 2000 Springer Science+Business Media New York 2000 Potential.chaos.dif

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The Bispectral Involution as a Linearizing Map,ter symmetries of the KP flows. This chapter will review this material and then update it with reference to recent papers of Wilson, Shiota, Kasman—Rothstein, and Rothstein that simplify the proof and extend the results to include other integrable Hamiltonian systems of particle systems with linearizing involutions.

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https://doi.org/10.1007/978-1-4899-6704-6ase of constant classical .-matrices thanks to Belavin and Drinfeld [17]. A partial classification scheme has very recently been proposed [53] for dynamical .-matrices obeying the particular version of the dynamical Yang—Baxter equation [16, 28] corresponding to Calogero—Moser models [9].

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The Springer Series on Human Exceptionality the differential equation (18) is new. For the quantum case the differential equation (34) is shown to be equivalent with Yang—Yang’s type of solution obtained by Sutherland. This equivalence provides an explanation for the local character, in momentum space, of our differential equation.

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