Classical Calogero Model and Matrix Model

Kazuhiro Hikami, Miki Wadati

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

It is proved that the classical Calogero model is a realization of the U(l) current algebra. The relations with the hermitian one-matrix model are explicitly shown. In particular, the coupling constants in the potential of the matrix model are identified as the “time” variables of the classical Calogero model, which are conjugate to the conserved quantities. Furthermore, the Calogero model is related to the integrable nonlinear evolution equations.

Original languageEnglish
Pages (from-to)3857-3863
Number of pages7
Journaljournal of the physical society of japan
Volume62
Issue number11
DOIs
Publication statusPublished - Jan 1 1993

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matrices
nonlinear evolution equations
current algebra

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Classical Calogero Model and Matrix Model. / Hikami, Kazuhiro; Wadati, Miki.

In: journal of the physical society of japan, Vol. 62, No. 11, 01.01.1993, p. 3857-3863.

Research output: Contribution to journalArticle

Hikami, Kazuhiro ; Wadati, Miki. / Classical Calogero Model and Matrix Model. In: journal of the physical society of japan. 1993 ; Vol. 62, No. 11. pp. 3857-3863.
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