Form factor for a family of quantum graphs: an expansion to third order

DOI10.1088/0305-4470/36/31/303zbMath1035.81024arXivnlin/0205014OpenAlexW3102267968WikidataQ59461125 ScholiaQ59461125MaRDI QIDQ4451228

Holger Schanz, Gregory Berkolaiko, Robert S. Whitney

Publication date: 23 February 2004

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

Full work available at URL: https://arxiv.org/abs/nlin/0205014

zbMATH Keywords

random matrixperiodic-orbit theorygraphs with ergodic classical dynamicsscaled time

Mathematics Subject Classification ID

Quantum chaos (81Q50) Random matrices (algebraic aspects) (15B52)

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Quantum ergodicity for graphs related to interval maps ⋮ The method of uniform monotonous approximation of the reachable set border for a controllable system ⋮ Degeneracy in the length spectrum for metric graphs ⋮ Pointwise Weyl law for graphs from quantized interval maps ⋮ Maximal scarring for eigenfunctions of quantum graphs ⋮ Branch-and-lift algorithm for deterministic global optimization in nonlinear optimal control ⋮ Combinatorial theory of the semiclassical evaluation of transport moments. I. Equivalence with the random matrix approach ⋮ Multivariate McCormick relaxations ⋮ On the form factor for the unitary group ⋮ No quantum ergodicity for star graphs ⋮ Spectral form factor for chaotic dynamics in a weak magnetic field ⋮ Convergence of moments of twisted COE matrices ⋮ Efficient upper and lower bounds for global mixed-integer optimal control ⋮ Unified framework for the propagation of continuous-time enclosures for parametric nonlinear ODEs ⋮ Complete dynamical evaluation of the characteristic polynomial of binary quantum graphs

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