Integrability and algebraic structure of the quantum Calogero-Moser model

Miki Wadati; Kazuhiro Hikami; Hideaki Ujino

doi:10.1016/0960-0779(93)90049-7

Integrability and algebraic structure of the quantum Calogero-Moser model

Miki Wadati, Kazuhiro Hikami, Hideaki Ujino

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	627-636
Number of pages	10
Journal	Chaos, solitons and fractals
Volume	3
Issue number	6
DOIs	https://doi.org/10.1016/0960-0779(93)90049-7
Publication status	Published - Jan 1 1993
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematics(all)
Physics and Astronomy(all)
Applied Mathematics

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10.1016/0960-0779(93)90049-7

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abstract = "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.",

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AU - Ujino, Hideaki

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Y1 - 1993/1/1

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AB - 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.

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JF - Chaos, Solitons and Fractals

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ER -

Integrability and algebraic structure of the quantum Calogero-Moser model

Abstract

All Science Journal Classification (ASJC) codes

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