Generalized Quantum Inverse Scattering
نویسنده
چکیده
A generalization of the quantum inverse scattering method is proposed replacing the quantum group RLL commutation relations of Lax operators by reflection equation type RLRL commutation relations. Under some natural assumptions the most general algebra of this type allowing to construct the neccessary integrals of ⋆ Supported by the Science and Technology Fellowship Programme for Japan under the auspices of the Commission of the European Communities ⋄ e-mail: [email protected] motion is found. It serves to describe Lax operators with completely non-ultralocal commutation relations. An example of this new formalism is an integrable model on monodromies of flat connections on a Riemann surface which is related to the XXZ quantum spin chain.
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