99-412 F. G\"ohmann, V.E. Korepin

Solution of the quantum inverse problem (89K, AMS-Latex) Oct 30, 99

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Abstract. We derive a formula that expresses the local spin and field operators of fundamental graded models in terms of the elements of the monodromy matrix. This formula is a quantum analogue of the classical inverse scattering transform. It applies to fundamental spin chains, such as the XYZ chain, and to a number of important exactly solvable models of strongly correlated electrons, such as the supersymmetric $t$-$J$ model or the the EKS model.

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