 97364 Korepin V. E., Slavnov N. A.
 The RiemannHilbert problem associated with the quantum Nonlinear
Schrodinger equation
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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 operatorvalued Fredholm
determinant. In this paper we show that a RiemannHilbert problem
can be associated with this Fredholm determinant. This
RiemannHilbert 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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