CALOGERO QUANTUM PROBLEM, KNIZHNIK-ZAMOLODCHIKOV EQUATION, AND HUYGENS PRINCIPLE

Authors
VESELOV AP
Citation
Ap. Veselov, CALOGERO QUANTUM PROBLEM, KNIZHNIK-ZAMOLODCHIKOV EQUATION, AND HUYGENS PRINCIPLE, Theoretical and mathematical physics, 98(3), 1994, pp. 368-376
Citations number
26
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Theoretical and mathematical physics → ACNP
ISSN journal
00405779
Volume
98
Issue
3
Year of publication
1994
Pages
368 - 376
Database
ISI
SICI code
0040-5779(1994)98:3<368:CQPKEA>2.0.ZU;2-7
Abstract
The interrelations between Calogero quantum problem and Knizhnik-Zamol odchikov equation are described following Matsuo, Cherednik, Felder, a nd the author. As the basic tool of the considerations the Dunkl opera tor is used. The generalizations related to an arbitrary Coxeter group and the applications to the Hadamard problem about the hyperbolic equ ations with the Huygens principle are discussed.