Classical Calogero Model and Matrix Model

Kazuhiro Hikami; Miki Wadati

doi:10.1143/JPSJ.62.3857

Classical Calogero Model and Matrix Model

Kazuhiro Hikami, Miki Wadati

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

5 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 language	English
Pages (from-to)	3857-3863
Number of pages	7
Journal	journal of the physical society of japan
Volume	62
Issue number	11
DOIs	https://doi.org/10.1143/JPSJ.62.3857
Publication status	Published - Jan 1 1993
Externally published	Yes

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

Access to Document

10.1143/JPSJ.62.3857

Fingerprint Dive into the research topics of 'Classical Calogero Model and Matrix Model'. Together they form a unique fingerprint.

Cite this

@article{d46912907b294f4b94af40e966446ca3,

title = "Classical Calogero Model and Matrix Model",

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.",

author = "Kazuhiro Hikami and Miki Wadati",

year = "1993",

month = jan,

day = "1",

doi = "10.1143/JPSJ.62.3857",

language = "English",

volume = "62",

pages = "3857--3863",

journal = "Journal of the Physical Society of Japan",

issn = "0031-9015",

publisher = "Physical Society of Japan",

number = "11",

}

TY - JOUR

T1 - Classical Calogero Model and Matrix Model

AU - Hikami, Kazuhiro

AU - Wadati, Miki

PY - 1993/1/1

Y1 - 1993/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=21344484573&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21344484573&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.62.3857

DO - 10.1143/JPSJ.62.3857

M3 - Article

AN - SCOPUS:21344484573

VL - 62

SP - 3857

EP - 3863

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 11

ER -