BOUNDARY K-MATRIX, ELLIPTIC DUNKL OPERATOR AND QUANTUM MANY-BODY SYSTEMS

Authors
HIKAMI K
Citation
K. Hikami, BOUNDARY K-MATRIX, ELLIPTIC DUNKL OPERATOR AND QUANTUM MANY-BODY SYSTEMS, Journal of physics. A, mathematical and general, 29(9), 1996, pp. 2135-2147
Citations number
29
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
29
Issue
9
Year of publication
1996
Pages
2135 - 2147
Database
ISI
SICI code
0305-4470(1996)29:9<2135:BKEDOA>2.0.ZU;2-S
Abstract
The infinite-dimensional representation of the boundary K-operator (th e solution of the reflection equation) is considered. The trigonometri c K-matrix is studied as a degenerate case of the elliptic operator. A method to construct the elliptic Dunkl operator is proposed, and the relationship with the quantum many-body problem is also discussed.