Completely Integrable Equation for the Quantum Correlation Function of Nonlinear Schrödinger Eqaution
نویسنده
چکیده
Correlation functions of exactly solvable models can be described by differential equations [1]. 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 〈ψ(0, 0)ψ(x, t)〉T of penetrable Bose gas. The integrodifferential equation turns out be the continuum generalization of classical nonlinear Schrödinger equation. PACS : 02.30.Jr; 02.30.Rz; 05.30.Jp; 05.50.+q; 51.30.+i; 65.50.+m
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