Quantization of a generic chaotic 3D billiard with smooth boundary. I: Energy level statistics.
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Publication:1968418
DOI10.1016/S0375-9601(97)00499-4zbMath1044.81572arXivchao-dyn/9611015WikidataQ59454145 ScholiaQ59454145MaRDI QIDQ1968418
Publication date: 7 March 2000
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/chao-dyn/9611015
Related Items (4)
Investigation of nodal domains in a chaotic three-dimensional microwave rough billiard with the translational symmetry ⋮ Quantization of generic chaotic \(3\)D billiard with smooth boundary. II: Structure of high-lying eigenstates. ⋮ Fast Computation of High‐Frequency Dirichlet Eigenmodes via Spectral Flow of the Interior Neumann‐to‐Dirichlet Map ⋮ A model for the computation of quantum billiards with arbitrary shapes
Cites Work
- Quantum signatures of chaos. With a foreword by H. Haken
- Periodic-orbit theory of the number variance \(\Sigma^ 2(L)\) of strongly chaotic systems
- Quantum surface of section method: eigenstates and unitary quantum Poincaré evolution
- Quantization of generic chaotic \(3\)D billiard with smooth boundary. II: Structure of high-lying eigenstates.
- Semiclassical level spacings when regular and chaotic orbits coexist
- Non-generic spectral statistics in the quantized stadium billiard
- Energy level statistics in the transition region between integrability and chaos
- Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws
- A Method for Obtaining Electronic Eigenfunctions and Eigenvalues in Solids with An Application to Sodium
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