88 citations · 758 across the 25 of their papers we have counts for
25 papers
Solution of Baxter equation for the -Toda and Toda chains by NLIE
O. Babelon, K. K. Kozlowski, V. Pasquier
We construct a basis of solutions of the scalar equation describing the spectrum of the -Toda and Toda chains by using…
Baxter operator and Baxter equation for -Toda and Toda chains
O. Babelon, K. K. Kozlowski, V. Pasquier
We construct the Baxter operator for the -Toda chain and the Toda chain (the Toda chain in the second Hamiltonian structure). Our construction…
The Toda chain
O. Babelon, K. K. Kozlowski, V. Pasquier
We show that a natural discretisation of Virasoro algebra yields a quantum integrable model which is the Toda chain in the second Hamiltonian structure.
Higher index focus-focus singularities in the Jayne-Cummings-Gaudin model : symplectic invariants and monodromy
Olivier Babelon, Benoit Doucot
We study the symplectic geometry of the Jaynes-Cummings-Gaudin model with spins. We show that there are focus-focus singularities of maximal Williamson type . We…
Multi-mode solitons in the classical Dicke-Jaynes-Cummings-Gaudin Model
Olivier Babelon, Benoît Douçot
We present a detailed analysis of the classical Dicke-Jaynes-Cummings-Gaudin integrable model, which describes a system of spins coupled to a single harmonic oscillator. We foc…
Classical Bethe Ansatz and Normal Forms in the Jaynes-Cummings Model
O. Babelon, B. Doucot
The Jaynes-Cummings-Gaudin model describes a collection of spins coupled to an harmonic oscillator. It is known to be integrable, so one can define a moment map which associate…