Localized eigenfunctions in Šeba billiards

DOI10.1063/1.3393884zbMath1311.81115arXiv0909.3797OpenAlexW2169681623WikidataQ125390408 ScholiaQ125390408MaRDI QIDQ5251250

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Publication date: 19 May 2015

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

Full work available at URL: https://arxiv.org/abs/0909.3797

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Operations with distributions and generalized functions (46F10) Quantum chaos (81Q50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (6)

Quantum ergodicity for point scatterers on arithmetic tori ⋮ Superscars in the Šeba billiard ⋮ Quantum chaos for point scatterers on flat tori ⋮ Superscars for arithmetic point scatters II ⋮ Superscars for arithmetic toral point scatterers ⋮ Statistics of wave functions for a point scatterer on the torus

Cites Work

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• Ergodic billiards that are not quantum unique ergodic (with an appendix by Andrew Hassell and Luc Hillairet)
• Quantum leaks
• Ergodicity and eigenfunctions of the Laplacian
• Uniform distribution of eigenfunctions on compact hyperbolic surfaces
• Pseudo-laplaciens. I
• Wave chaos in quantum systems with point interaction
• Spectral form factors of rectangle billiards
• No quantum ergodicity for star graphs
• Quadratic forms of signature \((2,2)\) and eigenvalue spacings on rectangular 2-tori
• Clustering of eigenvalues on translation surfaces
• Invariant measures and arithmetic unique ergodicity. Appendix by E. Lindenstrauss and D. Rudolph
• Star graphs and \v Seba billiards
• Semiclassical calculations of the two-point correlation form factor for diffractive systems
• Perturbation of self-adjoint operators by Dirac distributions
• Scars in quantum chaotic wavefunctions
• Point perturbations of circle billiards
• Quantum mechanics of electrons in crystal lattices
• Wave chaos in singular quantum billiard
• Spectral statistics of rectangular billiards with localized perturbations
• Quantum unique ergodicity
• Two-point spectral correlations for star graphs
• Bouncing Ball Modes and Quantum Chaos
• Level clustering in the regular spectrum
• Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws

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