The Quantum Calogero-Moser Model: Algebraic Structures

Hideaki Ujino, Miki Wadati, Kazuhiro Hikami

研究成果: Contribution to journalArticle

33 引用 (Scopus)

抜粋

For the quantum Calogero-Moser model, we construct a set of conserved operators and another set of operators, named boost operators, from its Lax operator. We prove that each conserved operator satisfies both the Lax equation and a remarkable relation named additional relation. From these knowledge, we show that the conserved operators are involutive. Moreover, the conserved operators and the boost operators constitute the U(l)-current algebra. All the proofs are simplified a great deal due to the Lax equations and additional relations.

元の言語英語
ページ(範囲)3035-3043
ページ数9
ジャーナルjournal of the physical society of japan
62
発行部数9
DOI
出版物ステータス出版済み - 1 1 1993
外部発表Yes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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