Completely Integrable Equation for the Quantum Correlation Function of Nonlinear Schr\"odinger Eqaution

T. Kojima; V. Korepin; N. Slavnov

doi:10.1007/s002200050226

Completely Integrable Equation for the Quantum Correlation Function of Nonlinear Schr\"odinger Eqaution

高能物理 - 理论 2016-09-06 v2 凝聚态物理量子代数可精确求解与可积系统 q-alg solv-int

作者: T. Kojima , V. Korepin , N. Slavnov

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摘要

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.

关键词

schrödinger equation correlation functions integrable systems

引用

@article{arxiv.hep-th/9612252,
  title  = {Completely Integrable Equation for the Quantum Correlation Function of Nonlinear Schr\"odinger Eqaution},
  author = {T. Kojima and V. Korepin and N. Slavnov},
  journal= {arXiv preprint arXiv:hep-th/9612252},
  year   = {2016}
}

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Completely Integrable Equation for the Quantum Correlation Function of Nonlinear Schr\"odinger Eqaution

摘要

关键词

引用

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