INTEGRABILITY AND ALGEBRAIC STRUCTURE OF THE QUANTUM CALOGERO-MOSER MODEL

Authors
WADATI M HIKAMI K UJINO H
Citation
M. Wadati et al., INTEGRABILITY AND ALGEBRAIC STRUCTURE OF THE QUANTUM CALOGERO-MOSER MODEL, Chaos, solitons and fractals, 3(6), 1993, pp. 627-636
Citations number
12
Categorie Soggetti
Mathematics,Mechanics,Engineering,"Physics, Applied
Journal title
Chaos, solitons and fractals → ACNP
ISSN journal
09600779
Volume
3
Issue
6
Year of publication
1993
Pages
627 - 636
Database
ISI
SICI code
0960-0779(1993)3:6<627:IAASOT>2.0.ZU;2-W
Abstract
For the quantum Calogero-Moser model, we present the following two res ults. First, it has a set of conserved operators which are involutive. This proves the integrability of the model. Second, the Lax operator gives a list of new operators (boost operators). The conserved operato rs and the boost operators constitute the U(1)-current algebra.