Completely Integrable Equation for the Quantum Correlation Function of Nonlinear Schrödinger Eqaution

Details Completely Integrable Equation for the Quantum Correlation Function of Nonlinear Schrödinger Eqaution Completely Integrable Equation for the Quantum Correlation Function of Nonlinear Schrödinger Eqaution

1996-12-30

arxiv.org/abs/hep-th/9612252v2

Commun.Math.Phys. 189 (1997) 709-728

Physics

High Energy Physics

High Energy Physics - Theory

LaTEX file, 23 pages

Scientific paper

10.1007/s002200050226

Correlation functions of exactly solvable models can be described by differential equation [Barough, McCoy, Wu]. In this paper we show that for non free fermionic case differential equations should be replaced by integro-differential equations. We derive an integro-differential equation, which describes time and temperature dependent correlation function $<\psi(0,0)\psi^\dagger(x,t)>_T$ of penetrable Bose gas. The integro-differential equation turns out be the continuum generalization of classical nonlinear Schr\"odinger equation.

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