Quantum graphs and random-matrix theory

DOI10.1088/1751-8113/48/27/275102zbMath1334.81046arXiv1407.1148OpenAlexW2963489606MaRDI QIDQ5264416

Z. Pluhar, Hans A. Weidenmüller

Publication date: 27 July 2015

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.1148

zbMATH Keywords

random matricesPerron-Frobenius operatorsupersymmetryquantum graphsquantum chaosBohigas-Giannoni-Schmit conjecture

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Random matrices (probabilistic aspects) (60B20) Quantum chaos (81Q50) Eigenvalues, singular values, and eigenvectors (15A18) Supersymmetry and quantum mechanics (81Q60) Random linear operators (47B80) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (4)

Spectral statistics of the uni-modular ensemble ⋮ Massive Modes for Quantum Graphs ⋮ Green's function approach for quantum graphs: an overview ⋮ The statistics of spectral shifts due to finite rank perturbations

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