Quantum integrable systems of elliptic Calogero-Moser typeTBA

Simon Ruijsenaars (Leeds)

Thursday 28th January, 2016 16:00-17:00 Maths 522


This seminar aims to give an overview of results concerning special classes of integrable N-particle quantum systems. Specifically, we focus on elliptic Calogero-Moser systems of nonrelativistic (differential operator) and relativistic (difference operator) type, related to the Lie algebras A_{N-1} and BC_N. In the last part we sketch our own approach to the construction of joint eigenfunctions, based on kernel functions that give rise to Hilbert-Schmidt integral operators.

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