KTH/Nordita/SU seminar in Theoretical Physics

Quantisation of compact forms of the trigonometric Ruijsenaars-Schneider system

by Dr Martin Hallnäs (Chalmers University of Technology)



Recently, new forms of the compactified trigonometric Ruijsenaars-Schneider model have been discovered at the level of classical mechanics by Fehér and Kluck. These models describe N particles moving on a circle whose completed center-of-mass phase space is the complex projective space CPN−1 with the Fubini-Study form. In this talk, we present the quantum version of these integrable systems and solve the corresponding eigenvalue problem by generalising earlier results by van Diejen and Vinet.

This is a joint work with Tamás Görbe