Characterization of quantum chaos by the autocorrelation function of spectral determinants

DOI10.1088/0305-4470/30/10/035zbMath0932.81008arXivchao-dyn/9611001OpenAlexW3106289879MaRDI QIDQ4248270

S. Kettemann, Uzy Smilansky, Dietrich Klakow

Publication date: 8 March 2000

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

Full work available at URL: https://arxiv.org/abs/chao-dyn/9611001

zbMATH Keywords

correlation functionsrandom matrix theoryquantum chaosspectral determinantsquantized Sinai billiards

Mathematics Subject Classification ID

Quantum chaos (81Q50) Ergodicity, mixing, rates of mixing (37A25) Classical equilibrium statistical mechanics (general) (82B05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Random matrices (algebraic aspects) (15B52) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items

Quantum chaos and random matrix theory - some new results ⋮ Resummation and the semiclassical theory of spectral statistics ⋮ Negative moments of characteristic polynomials of random matrices: Ingham-Siegel integral as an alternative to Hubbard-Stratonovich transformation ⋮ Periodic orbit theory and spectral statistics for quantum graphs ⋮ Characteristic polynomials of random Hermitian matrices and Duistermaat-Heckman localisation on non-compact Kähler manifolds