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arXiv · hep-th/9706147

The Riemann-Hilbert problem associated with the quantum Nonlinear Schrodinger equation

V. E. Korepin·N. A. Slavnov
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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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V. E. Korepin, N. A. Slavnov. 1997-06-20. The Riemann-Hilbert problem associated with the quantum Nonlinear Schrodinger equation. https://doi.org/10.1088/0305-4470%2F30%2F23%2F021

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