Algebra i analiz, Tome 6 (1994) no. 2, pp. 67-89
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J. Avan; O. Babelon; M. Talon. Construction of the classical $R$-matrices for the Toda and Calogero models. Algebra i analiz, Tome 6 (1994) no. 2, pp. 67-89. http://geodesic.mathdoc.fr/item/AA_1994_6_2_a2/
@article{AA_1994_6_2_a2,
author = {J. Avan and O. Babelon and M. Talon},
title = {Construction of the classical $R$-matrices for the {Toda} and {Calogero} models},
journal = {Algebra i analiz},
pages = {67--89},
year = {1994},
volume = {6},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AA_1994_6_2_a2/}
}
TY - JOUR
AU - J. Avan
AU - O. Babelon
AU - M. Talon
TI - Construction of the classical $R$-matrices for the Toda and Calogero models
JO - Algebra i analiz
PY - 1994
SP - 67
EP - 89
VL - 6
IS - 2
UR - http://geodesic.mathdoc.fr/item/AA_1994_6_2_a2/
LA - en
ID - AA_1994_6_2_a2
ER -
%0 Journal Article
%A J. Avan
%A O. Babelon
%A M. Talon
%T Construction of the classical $R$-matrices for the Toda and Calogero models
%J Algebra i analiz
%D 1994
%P 67-89
%V 6
%N 2
%U http://geodesic.mathdoc.fr/item/AA_1994_6_2_a2/
%G en
%F AA_1994_6_2_a2
We use the definition of the Calogero–Moser models as Hamiltonian reductions of geodesic motions on a group manifold to construct their $R$-matrices. In the Toda case, the analogous construction yields constant $R$-matrices. By contrast, for Calogero–Moser models they are dynamical objects.
