120 citations · 319 across the 7 of their papers we have counts for
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The Gervais-Neveu-Felder equation and the quantum Calogero-Moser systems
J. Avan, O. Babelon, E. Billey
We quantize the spin Calogero-Moser model in the -matrix formalism. The quantum -matrix of the model is dynamical. This -matrix has already appeared in Gervais-Neveu's qua…
Spin generalization of the Calogero-Moser system and the Matrix KP equation
I. Krichever, O. Babelon, E. Billey +1
The complete solutions of the spin generalization of the elliptic Calogero Moser systems are constructed. They are expressed in terms of Riemann theta-functions. The analoguous con…
Observable algebra for the rational and trigonometric Euler Calogero Moser models
J. Avan, E. Billey
We construct polynomial Poisson algebras of observables for the classical Euler-Calogero-Moser (ECM) models. The conserved Hamiltonians and symmetry algebras derived in a previous…
Exact Yangian Symmetry in the Classical Euler-Calogero-Moser Model
E. Billey, J. Avan, O. Babelon
We compute the -matrix for the elliptic Euler-Calogero-Moser model. In the trigonometric limit we show that the model possesses an exact Yangian symmetry.
The R-matrix structure of the Euler-Calogero-Moser model
E. Billey, J. Avan, O. Babelon
We construct the -matrix for the generalization of the Calogero-Moser system introduced by Gibbons and Hermsen. By reduction procedures we obtain the -matrix for the E…