ep - t h / 96 07 08 5 v 1 1 1 Ju l 1 99 6 IFUP - TH 29 / 96 Boundary Exchange Algebras and Scattering on the Half Line
نویسندگان
چکیده
We introduce an associative algebra BR, whose exchange properties are inferred from the scattering processes in integrable models with reflecting boundary conditions in 1+1 space-time dimensions. We investigate the basic properties of BR and some natural generalizations of it. The Fock representations associated with certain involutions in BR are also derived. As an application of these results we explicitly construct the scattering matrix of the above mentioned models and prove its unitarity as an operator in the Hilbert space of states.
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