97-364 Korepin V. E., Slavnov N. A.

The Riemann-Hilbert problem associated with the quantum Nonlinear Schrodinger equation (51K, LaTeX) Jun 20, 97

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

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.

Files: 97-364.tex