Integrability and algebraic structure of the quantum Calogero-Moser model

✍ Scribed by Miki Wadati; Kazuhiro Hikami; Hideaki Ujino

• Publisher: Elsevier Science
• Year: 1993
• Tongue: English
• Weight: 325 KB
• Volume: 3
• Category: Article
• ISSN: 0960-0779
• DOI: 10.1016/0960-0779(93)90049-7

✦ Synopsis

For the quantum Calogero-Moser model, we present the following two results. 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 operators and the boost operators constitute the U(1)-current algebra.