Superscars in the Šeba billiard

DOI10.4171/JEMS/732zbMath1375.81114arXiv1409.6878MaRDI QIDQ2408256

Henrik Ueberschär, Pär Kurlberg

Publication date: 12 October 2017

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.6878

zbMATH Keywords

semiclassical measuresŠeba billiardsuperscars

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Operations with distributions and generalized functions (46F10) Quantum chaos (81Q50) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) (2)-body potential quantum scattering theory (81U05)

Related Items (9)

Uniform distribution of eigenstates on a torus with two point scatterers ⋮ Small scale equidistribution for a point scatterer on the torus ⋮ Superscars for arithmetic point scatters II ⋮ Quantitative equidistribution of eigenfunctions for toral Schrödinger operators ⋮ Superscars for arithmetic toral point scatterers ⋮ Random moments for the new eigenfunctions of point scatterers on rectangular flat Tori ⋮ On the phase-space distribution of Bloch eigenmodes for periodic point scatterers ⋮ Multifractal eigenfunctions for a singular quantum billiard ⋮ On quasi-Herglotz functions in one variable

Cites Work

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