Generalized Calogero-Moser systems from rational Cherednik algebras

Abstract:

I am going to review the quantum integrable systems of Calogero-Moser type which appeared in the works of Chalykh, Veselov, Sergeev and the author, and also were studied by Hallnas and Langmann. I'll explain how integrability of these operators for the special values of parameters can be established using restrictions of Dunkl operators. This approach also leads to new quantum integrable systems of Calogero-Moser type.