97-364 Korepin V. E., Slavnov N. A.
The Riemann-Hilbert problem associated with the quantum Nonlinear Schrodinger equation (51K, LaTeX) Jun 20, 97
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Abstract. We consider the dynamical correlation functions of the quantum Nonlinear Schrodinger equation. In a previous paper we found that the dynamical correlation functions can be described by the vacuum expectation value of an operator-valued Fredholm determinant. In this paper we show that a Riemann--Hilbert problem can be associated with this Fredholm determinant. This Riemann--Hilbert problem formulation permits us to write down completely integrable equations for the Fredholm determinant and to perform an asymptotic analysis for the correlation function.

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