Spectral form factor in the Hadamard-Gutzwiller model: Orbit pairs contributing in the third order

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-31 DOI:10.1016/j.geomphys.2024.105237

Huynh M. Hien

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Abstract

In this paper we consider periodic orbit pairs contributing in the third order of the spectral form factor in the Hadamard-Gutzwiller model. We prove that periodic orbits involving two 2-encounters in certain structures have partner orbits, which together with original ones form orbit pairs and contribute in the third order of the spectral form factor. The action differences are estimated at $\ln (1 + u_{1} s_{1}) (1 + u_{2} s_{2})$ with explicit error bounds, where $(u_{1}, s_{1})$ and $(u_{2}, s_{2})$ are the coordinates of the piercing points. A symbolic dynamics for orbit pairs via conjugacy classes is also established.

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哈达玛-古茨维勒模型的光谱形式因子：轨道对的三阶贡献

在本文中，我们考虑了在哈达玛-古茨维勒模型中对谱形式因子的三阶有贡献的周期轨道对。我们证明，在某些结构中，涉及两个 2-encounters 的周期轨道具有伙伴轨道，它们与原始轨道一起构成轨道对，并贡献于谱形式因子的三阶。其中，(u1,s1) 和 (u2,s2) 是穿刺点的坐标。此外，还通过共轭类建立了轨道对的符号动力学。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.