DUNKL OPERATOR-FORMALISM FOR QUANTUM MANY-BODY PROBLEMS ASSOCIATED WITH CLASSICAL ROOT SYSTEMS

Authors
HIKAMI K
Citation
K. Hikami, DUNKL OPERATOR-FORMALISM FOR QUANTUM MANY-BODY PROBLEMS ASSOCIATED WITH CLASSICAL ROOT SYSTEMS, Journal of the Physical Society of Japan, 65(2), 1996, pp. 394-401
Citations number
42
Categorie Soggetti
Physics
Journal title
Journal of the Physical Society of Japan → ACNP
ISSN journal
00319015
Volume
65
Issue
2
Year of publication
1996
Pages
394 - 401
Database
ISI
SICI code
0031-9015(1996)65:2<394:DOFQMP>2.0.ZU;2-5
Abstract
The integrable quantum many-body systems associated with the classical root systems are formulated in terms of the (trigonometric) Dunkl ope rators. We define the Dunkl operators by use of the infinite-dimension al representation of the R and K matrices for the Yang-Baxter equation and the reflection equation. The eigenvalues of systems are also give n.