The Quantum Calogero-Moser Model: Algebraic Structures

Hideaki Ujino, Miki Wadati, Kazuhiro Hikami

Research output: Contribution to journalArticle

33 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)3035-3043
Number of pages9
Journaljournal of the physical society of japan
Volume62
Issue number9
DOIs
Publication statusPublished - Jan 1 1993
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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