2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.QA2025
-matrix Dunkl operators and spin Calogero-Moser system
Oleg Chalykh, Maria Matushko
We construct a quantum integrable model which is an -matrix generalization of the Calogero-Moser system, based on the Baxter-Belavin elliptic -matrix. This is achieved by int…
math-ph2024★ 2 cited
Dunkl and Cherednik operators
Oleg Chalykh
This survey article, written for the Encyclopedia of Mathematical Physics, 2nd edition, is devoted to the remarkable family of operators introduced by Charles Dunkl and to their $q…
nlin.SI2024★ 1 cited
Integrability of the Inozemtsev spin chain
Oleg Chalykh
We show that the Inozemtsev spin chain is integrable. The conserved quantities (commuting Hamiltonians) are constructed using elliptic Dunkl operators. We also suggest a generalisa…