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arXiv · 1812.00655

Massive Modes for Quantum Graphs

Hans A. Weidenmüller
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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.

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Hans A. Weidenmüller. 2018-12-03. Massive Modes for Quantum Graphs. https://arxiv.org/abs/1812.00655

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