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2013
Impact Factor

A. Ballesteros

Pza. Misael Banuelos s.n., E-09001-Burgos, Spain
Departamento de Fisica, Universidad de Burgos

Publications:

 Ballesteros A., Musso F., Ragnisco O. Classical and Quantum Integrable Systems: the Coalgebra Approach 2002, vol. 7, no. 4, pp.  393-398 Abstract 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. Citation: Ballesteros A., Musso F., Ragnisco O.,  Classical and Quantum Integrable Systems: the Coalgebra Approach, Regular and Chaotic Dynamics, 2002, vol. 7, no. 4, pp. 393-398 DOI:10.1070/RD2002v007n04ABEH000218