Pza. Misael Banuelos s.n., E-09001-Burgos, Spain
Departamento de Fisica, Universidad de Burgos
Ballesteros A., Musso F., Ragnisco O.
Classical and Quantum Integrable Systems: the Coalgebra Approach
2002, vol. 7, no. 4, pp. 393-398
We review here a method, recently introduced by the authors, that can be used to construct completely integrable Classical and Quantum Hamiltonian Systems from representations of coalgebras with Casimir element(s). As a prototype example, we choose the spin $1/2$ Calogero–Gaudin system and its $q$-deformation. Possible drawbacks and generalizations of the method are outlined.