Maximum norms of chaotic quantum eigenstates and random waves
type: Item
instance of: scholarly article
title: Maximum norms of chaotic quantum eigenstates and random waves
zbMATH Open document ID: 0960.81019
DOI: 10.1016/S0167-2789(98)00287-5
author: Ralf Aurich
author: A. Bäcker
author: M. Taglieber
author: Roman Schubert
published in: Physica D
publication date: 1999-12-06T00:00:00Z
Mathematics Subject Classification ID: 81Q50
zbMATH DE Number: 1374332
zbMATH Keywords: quantum chaos
zbMATH Keywords: maximum norms of quantum eigenstates
zbMATH Keywords: random waves
MaRDI profile type: Publication
cites work: Chaos in classical and quantum mechanics
cites work: Regular and irregular semiclassical wavefunctions
cites work: On the Topography of Maass Waveforms for PSL(2, Z)
cites work: Statistical properties of highly excited quantum eigenstates of a strongly chaotic system
cites work: Statistical properties of high-lying chaotic eigenstates
cites work: Q4088027
cites work: Uniform distribution of eigenfunctions on compact hyperbolic surfaces
cites work: Q3696195
cites work: Ergodic properties of eigenfunctions for the Dirichlet problem
cites work: Ergodicity of eigenfunctions for ergodic billiards
cites work: How chaotic is the stadium billiard? A semiclassical analysis
cites work: On the number of bouncing ball modes in billiards
cites work: Q4845625
cites work: Quantum ergodicity of eigenfunctions on \(\text{PSL}_ 2(\mathbb{Z}) \backslash H^ 2\)
cites work: Quantum eigenstates of a strongly chaotic system and the scar phenomenon
cites work: Exact eigenfunctions of a chaotic system
cites work: Q3482231
cites work: The spectral function of an elliptic operator
cites work: \(L^ \infty\) norms of eigenfunctions of arithmetic surfaces
cites work: The behaviour of eigenstates of arithmetic hyperbolic manifolds
cites work: \(L^ \infty\)-norms of eigenfunctions for arithmetic hyperbolic 3-manifolds
cites work: On the periodic orbits of a strongly chaotic system
cites work: Chaotic billiards generated by arithmetic groups
cites work: Arithmetical chaos and violation of universality in energy level statistics
cites work: SOME STUDIES ON ARITHMETICAL CHAOS IN CLASSICAL AND QUANTUM MECHANICS
cites work: Q4339386
cites work: Some properties of trigonometric series whose terms have random signs
cites work: Q3477721
cites work: Q4880964
cites work: On the rate of quantum ergodicity on hyperbolic surfaces and for billiards
cites work: On the ergodic properties of nowhere dispersing billiards
cites work: Q3759987
cites work: Q4763555
cites work: Nonuniformly hyperbolic K-systems are Bernoulli
cites work: Quantising a generic family of billiards with analytic boundaries
cites work: Energy level statistics in the transition region between integrability and chaos
cites work: Boundary-distribution solution of the Helmholtz equation for a region with corners
cites work: Diabolical points in the spectra of triangles
cites work: Q5687129
cites work: Smoothed wave functions of chaotic quantum systems
description: scientific article; zbMATH DE number 1374332