Integrals of motion for Calogero-Sutherland model of infinitely many particles

Evgeny Sklyanin (University of York)

Tuesday 8th January, 2013 15:00-16:00 Maths 416


The Calogero-Sutherland model is a quantum integrable model of interacting one-dimensional bose-particles. Its eigenfunctions are known as Jack polynomials. We consider the limit of the integrals of motion of the model (Sekiguchi-Debiard differential operators) as number of particles tends to infinity and describe explicitely the limit using collective variables. A generalisation to Macdonald polynomials will also be discussed.

(based on arXiv:1212.2781 and arXiv:1212.2960, joint work with Maxim Nazarov)

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