Quantum Lax Pairs via Dunkl and Cherednik Operators
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-019-03289-8
Abstract: We establish a direct link between Dunkl operators and quantum Lax matrices $${{\mathcal{L}}}$$L for the Calogero–Moser systems associated to an arbitrary Weyl group W (or an arbitrary finite reflection group in the rational case). This… read more here.
Keywords: cherednik operators; quantum lax; lax pairs; case ... See more keywords
Cherednik operators and Ruijsenaars-Schneider model at infinity
Sign Up to like & getrecommendations! Published in 2017 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rnx176
Abstract: Heckman introduced N operators on the space of polynomials in N variables, such that these operators form a covariant set relative to permutations of the operators and variables, and such that Jack symmetric polynomials are… read more here.
Keywords: cherednik operators; model infinity; ruijsenaars schneider; schneider model ... See more keywords