Correlation functions and dynamics in quantum integrable model

利用Bethe ansatz方法，我们澄清了可积模型——一维无自旋费米子模型和海森堡模型的动力学性质。特别地，通过对弦态的分析阐明了高能区域的性质。进一步，我们得到了rujsenaars - schneider模型的粒子传播子，并从服从分数统计量的激励角度阐明了其动力学性质。我们准确地证明了古茨威勒波函数密度矩阵的几种已知表达式之间的相互等价性。

Using Bethe ansatz method, we clarified the dynamical properties of the integrable model---one dimensional spinless fermion model and Heisenberg model. In particular, the properties in the high-energy region are elucidated from the analysis of the string states. Further, we obtained the particle propagator of the Ruijsenaars-Schneider model and clarified the dynamical properties in terms of the excitations obeying fractional statistics. We show the mutual equivalence among the known several expressions of the density matrix for the Gutzwiller wave function exactly.