HIDDEN SYMMETRY OF THE QUANTUM CALOGERO-MOSER SYSTEM

Authors
KUZNETSOV VB
Citation
Vb. Kuznetsov, HIDDEN SYMMETRY OF THE QUANTUM CALOGERO-MOSER SYSTEM, Physics letters. A, 218(3-6), 1996, pp. 212-222
Citations number
11
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
218
Issue
3-6
Year of publication
1996
Pages
212 - 222
Database
ISI
SICI code
0375-9601(1996)218:3-6<212:HSOTQC>2.0.ZU;2-X
Abstract
The hidden symmetry of the quantum Calogero-Moser system with an inver se-square potential is algebraically demonstrated making use of Dunkl' s operators. We find the underlying algebra explaining the super-integ rability phenomenon for this system. Applications to related multi-var iable Bessel functions are also discussed.