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.
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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 -