Normal modes of billiards portrayed in the stellar (or nodal) representation

DOI10.1016/0960-0779(94)E0056-UzbMath0912.58030OpenAlexW2055425627MaRDI QIDQ1129343

J.-M. Tualle, André Voros

Publication date: 25 May 1999

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(94)e0056-u

zbMATH Keywords

ellipseeigenmodesstadiumplane billardsstellar representation

Mathematics Subject Classification ID

Quantum chaos (81Q50) Ergodic theorems, spectral theory, Markov operators (37A30) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (4)

Wavefunction statistics using scar states. ⋮ The distribution of localization measures of chaotic eigenstates in the stadium billiard ⋮ A Brief Introduction to Stationary Quantum Chaos in Generic Systems ⋮ Quantum mushroom billiards

Cites Work

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• Diabolical points in the spectra of triangles
• Hamiltonian Systems
• Semiclassical quantization of multidimensional systems
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• On a Hilbert Space of Analytie Functions and an Associated Integral Transform. Part II. A Family of Related Function Spaces Application to Distribution Theory
• Boundary Integral Equations for the Three-Dimensional Helmholtz Equation

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