Spectral form factor of hyperbolic systems: leading off-diagonal approximation

DOI10.1088/0305-4470/36/26/304zbMath1040.37073arXivnlin/0303051OpenAlexW3099644574MaRDI QIDQ4466329

Dominique Spehner

Publication date: 9 June 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/0303051

zbMATH Keywords

hyperbolic systemsrandom-matrix theoryperiodic orbit theoryquantum Hamiltonian system

Mathematics Subject Classification ID

Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Random matrices (algebraic aspects) (15B52) Complex behavior and chaotic systems of ordinary differential equations (34C28) Dynamical systems with hyperbolic orbits and sets (37D05)

Related Items (4)

Combinatorial theory of the semiclassical evaluation of transport moments. I. Equivalence with the random matrix approach ⋮ On the form factor for the unitary group ⋮ Weak localization with nonlinear bosonic matter waves ⋮ Spectral statistics of chaotic many-body systems

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