论文标题
Hadamard-Gutzwiller模型中的频谱形式：轨道对以三阶贡献
Spectral form factor in the Hadamard-Gutzwiller model: orbit pairs contributing in the third order
论文作者
论文摘要
在本文中，我们考虑了Hadamard-Gutzwiller模型中光谱形式的三阶轨道对。我们证明，定期轨道在某些结构中包括两个2个座位，具有合作伙伴轨道。操作差异估计为$ \ ln（1+u_1s_1）（1+u_2s_2）$，具有明显的错误界，其中$（u_1，s_1）$和$（u_2，s_2）$是穿孔点的坐标。还提供了通过共轭类别的轨道对的新符号动力学。
In this paper we consider orbit pairs contributing in the third order of the spectral form factor in the Hadamard-Gutzwiller model. We prove that periodic orbits including two 2-encounters in certain structures have partner orbits. The action differences are estimated at $\ln(1+u_1s_1)(1+u_2s_2)$ with explicit error bounds, where $(u_1,s_1)$ and $(u_2,s_2)$ are the coordinates of the piercing points. A new symbolic dynamics for orbit pairs via conjugacy classes is also provided.
