120 citations · 303 across the 5 of their papers we have counts for
5 papers
The symplectic structure of rational Lax pair systems
O. Babelon, M. Talon
We consider dynamical systems associated to Lax pairs depending rationnally on a spectral parameter. We show that we can express the symplectic form in terms of algebro--geometric…
Form factors, KdV and Deformed Hyperelliptic Curves
O. Babelon, D. Bernard, F. A. Smirnov
We review and summarize recent works on the relation between form factors in integrable quantum field theory and deformation of geometrical data associated to hyper-elliptic curves…
Quantization of Solitons and the Restricted Sine-Gordon Model
O. Babelon, D. Bernard, F. A. Smirnov
We show how to compute form factors, matrix elements of local fields, in the restricted sine-Gordon model, at the reflectionless points, by quantizing solitons. We introduce (quant…
A Quasi-Hopf algebra interpretation of quantum 3-j and 6-j symbols and difference equations
O. Babelon, D. Bernard
We consider the universal solution of the Gervais-Neveu-Felder equation in the case. We show that it has a quasi-Hopf algebra interpretation. We also recall its…
Dressing Symmetries
O. Babelon, D. Bernard
We study Lie-Poisson actions on symplectic manifolds. We show that they are generated by non-Abelian Hamiltonians. We apply this result to the group of dressing transformations in…