NOTES ON THE DUNKL OPERATOR

Authors
Citation
K. Hikami, NOTES ON THE DUNKL OPERATOR, Journal of the Physical Society of Japan, 64(7), 1995, pp. 2257-2260
Citations number
19
Categorie Soggetti
Physics
ISSN journal
00319015
Volume
64
Issue
7
Year of publication
1995
Pages
2257 - 2260
Database
ISI
SICI code
0031-9015(1995)64:7<2257:NOTDO>2.0.ZU;2-C
Abstract
The Dunkl operator is constructed based on the Yang-Baxter equation. W e regard the R- and PC-matrices, which satisfy the Yang-Baxter equatio n and the boundary Yang-Baxter equation, as operators acting on the fu nctional space. In terms of these R- and K-operators, the Dunkl operat or with boundary is explicitly constructed.