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

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dc.creatorKorepin, V. E.
dc.creatorSlavnov, N. A.
dc.date1997-06-20
dc.date.accessioned2026-07-07T10:58:53Z
dc.date.available2026-07-07T10:58:53Z
dc.descriptionWe 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.
dc.description21 pages, Latex, no figures
dc.identifierhttps://arxiv.org/abs/hep-th/9706147
dc.identifierhttp://arxiv.org/abs/hep-th/9706147
dc.identifierJ.Phys.A30:8241-8255,1997
dc.identifierdoi:10.1088/0305-4470/30/23/021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187259
dc.subjectHigh Energy Physics - Theory
dc.subjectCondensed Matter
dc.subjectQuantum Algebra
dc.subjectExactly Solvable and Integrable Systems
dc.titleThe Riemann-Hilbert problem associated with the quantum Nonlinear Schrodinger equation
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