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Completely Integrable Equation for the Quantum Correlation Function of Nonlinear Schrödinger Equation |
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| Authors: | T Kojima V E Korepin N A Slavnov |
| Institution: | Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606, Japan.?E-mail: kojima@kurims.kyoto-u.ac.jp, JP Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, NY 11794-3840, USA. E-mail: korepin@insti.physics.sunysb.edu, US Steklov Mathematical Institute, Gubkina 8, Moscow 117966, Russia. E-mail: nslavnov@class.mi.ras.ru, RU |
| Abstract: | Correlation functions of exactly solvable models can be described by differential equations 1]. In this paper we show that for the non-free fermionic case, differential equations should be replaced by integro-differential equations. We derive an integro-differential equation, which describes a time and temperature dependent correlation function of the penetrable Bose gas. The integro-differential equation turns out to be the continuum generalization of the classical nonlinear Schr?dinger equation. Received: 15 January 1997 / Accepted: 21 March 1997 |
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