Statistical properties of highly excited quantum eigenstates of a strongly chaotic system

DOI10.1016/0167-2789(93)90255-YzbMath0773.58020MaRDI QIDQ2366486

R. Aurich, Frank Steiner

Publication date: 29 June 1993

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

statistical propertieschaotic systemexcited eigenstates

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)

Related Items (21)

The behaviour of eigenstates of arithmetic hyperbolic manifolds ⋮ Pattern formation for the Swift-Hohenberg equation on the hyperbolic plane ⋮ Quantum eigenstates of a strongly chaotic system and the scar phenomenon ⋮ Quantum chaos: Unexpected complexity ⋮ On the approximate normality of eigenfunctions of the Laplacian ⋮ Fluctuations and correlations in matrix elements ⋮ Quantum chaos on constant negative curvature surfaces ⋮ EXTREME VALUES OF GEODESIC PERIODS ON ARITHMETIC HYPERBOLIC SURFACES ⋮ An algorithm for the computation of eigenvalues, spectral zeta functions and zeta-determinants on hyperbolic surfaces ⋮ Hecke eigenfunctions of quantized cat maps modulo prime powers ⋮ Quantum unique ergodicity for Cayley graphs of quasirandom groups ⋮ Bifurcation of hyperbolic planforms ⋮ On the rate of quantum ergodicity on hyperbolic surfaces and for billiards ⋮ Eigenstates and scattering solutions for billiard problems: a boundary wall approach ⋮ Hyperbolic octagons and Teichmüller space in genus 2 ⋮ Statistical measures for eigenfunctions of nonseparable quantum billiard systems ⋮ Local weak limits of Laplace eigenfunctions ⋮ Maximum norms of chaotic quantum eigenstates and random waves ⋮ Semiclassical limits for the hyperbolic plane ⋮ Exact eigenfunction amplitude distributions of integrable quantum billiards ⋮ Topology and the cosmic microwave background

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• Quantum chaotic dynamics and random polynomials
• Geodesic flows on manifolds of constant negative curvature
• Universality of eigenvector statistics of kicked tops of different symmetries
• On the Quantum Correction For Thermodynamic Equilibrium

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