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Quantum Physics

arXiv:1812.00655 (quant-ph)
[Submitted on 3 Dec 2018 ]

Title: Massive Modes for Quantum Graphs

Title: 量子图的巨模

Authors:Hans A. Weidenmüller
Abstract: The spectral two-point function of chaotic quantum graphs is expected to be universal. Within the supersymmetry approach, a proof of that assertion amounts to showing that the contribution of non-universal (or massive) modes vanishes in the limit of infinite graph size. Here we pay particular attention to the fact that the massive modes are defined in a coset space. Using the assumption that the spectral gap of the Perron-Frobenius operator remains finite in the limit, we then argue that the massive modes are indeed negligible.
Abstract: 混沌量子图的能谱二点函数预计是普适的。在超对称方法中,对该断言的证明相当于表明在无限图大小的极限下非普适(或有质量)模式的贡献消失。在这里,我们特别注意到了有质量模式是在一个伴随空间中定义的事实。然后我们利用假设 Perron-Frobenius 算子的谱隙在极限下保持有限,进而论证了有质量模式确实是可忽略的。
Subjects: Quantum Physics (quant-ph) ; High Energy Physics - Theory (hep-th)
Cite as: arXiv:1812.00655 [quant-ph]
  (or arXiv:1812.00655v1 [quant-ph] for this version)
  https://doi.org/10.48550/arXiv.1812.00655
arXiv-issued DOI via DataCite
Journal reference: In: Discrete and Continuous Models in the Theory of Networks, Birkhaeuser Basel 2020

Submission history

From: Hans A. Weidenmüller [view email]
[v1] Mon, 3 Dec 2018 10:49:54 UTC (15 KB)
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