Eigenfunctions for partially rectangular billiards

2003/12/04 by N. Burq, Nicolas Burq, Burq, N. +3 · 3 citations
Engineering · Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #Stability and Controllability of Differential Equations #math.AP #math.SP

paper · pdf · doi:10.48550/arxiv.math/0312098

6 pages, 3 figures

arxiv created 2003/12/04 · arxiv updated 2009/12/01

Abstract

In this note we further develop the idea of using a ``black box'' point of view (see our previous work) to study eigenfunctions for billiards which have rectangular components: they include the Bunimovich billiard, the Sinai billiard, and the recently popular pseudointegrable billiards

Citations

• Singularities of boundary value problems. I

Cited by

• Semiclassical behaviour of quantum eigenstates
• Concentration and non-concentration of eigenfunctions of second-order elliptic operators with a divergence form in layered media
• Control for Schroedinger operators on tori

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