近action -简并双轨道束：混沌的骨架
Near action-degenerate periodic-orbit bunches: A skeleton of chaos
摘要：
双曲动力学的长周期轨道并不作为独立的个体存在，而是紧密地聚集在一起。在弱分辨率下，一束看起来像位形空间中的单个轨道，但仔细观察会发现拓扑轨道与轨道的差异。束的构造原理涉及轨道的紧密自“相遇”，其中两个或更多个伸展保持紧密。相遇的某种对偶性和介入的“链接”揭示了轨道束的无限等级结构。--在一个束内的轨道-轨道作用差$ΔS$可以任意小。具有普朗克常数量级的$ΔS$的聚束对于量子可观测量具有相长干涉的费曼振幅，这就是为什么经典聚束现象可以产生量子光谱和输运中普遍涨落的半经典解释。
英文摘要：
Long periodic orbits of hyperbolic dynamics do not exist as independent individuals but rather come in closely packed bunches. Under weak resolution a bunch looks like a single orbit in configuration space, but close inspection reveals topological orbit-to-orbit differences. The construction principle of bunches involves close self-"encounters" of an orbit wherein two or more stretches stay close. A certain duality of encounters and the intervening "links" reveals an infinite hierarchical structure of orbit bunches. -- The orbit-to-orbit action differences $ΔS$ within a bunch can be arbitrarily small. Bunches with $ΔS$ of the order of Planck's constant have constructively interfering Feynman amplitudes for quantum observables, and this is why the classical bunching phenomenon could yield the semiclassical explanation of universal fluctuations in quantum spectra and transport.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
