Correlation functions and dynamics in quantum integrable model

利用Bethe近似方法，阐明了可积模型--一维无自旋费米子模型和海森堡模型的动力学性质。特别是，在高能量区域的属性阐明从弦状态的分析。进一步，我们得到了Ruijsenaars-Schneider模型的粒子传播子，并从分数阶统计的角度阐明了动力学性质。我们精确地证明了Gutzwiller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.