Görbe Tamás (SZTE): Compactified trigonometric Ruijsenaars-Schneider systems
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Europe/Budapest
Tanacsterem
Tanacsterem
Description
Recently, Fehér and Kluck discovered new forms of the compactified trigonometric Ruijsenaars-Schneider model at the classical level. These integrable models describe interacting particles moving on a circle whose phase space is compact. We introduce the quantum version of these systems and solve the corresponding joint eigenvalue problem for the Hamiltonians by generalising van Diejen and Vinet's earlier results. The talk is based on a joint work with Martin Hallnäs: arXiv:1707.08483 [math-ph].