Universal spectral properties of spatially periodic quantum systems with chaotic classical dynamics

DOI10.1016/S0960-0779(97)00016-7zbMath0935.81026arXivchao-dyn/9702008WikidataQ58043034 ScholiaQ58043034MaRDI QIDQ1963201

B. Mehlig, Uzy Smilansky, Holger Schanz, Thomas Dittrich

Publication date: 24 January 2000

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

Full work available at URL: https://arxiv.org/abs/chao-dyn/9702008

zbMATH Keywords

periodic boundary conditionsAnderson localizationspectral statisticsuniversal scaling functionBloch numberscoupled Sinai billiardsperiodic chainspectral form factors

Mathematics Subject Classification ID

Quantum chaos (81Q50) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items (2)

Chaotic diffusion on periodic orbits and uniformity ⋮ Quantal-classical duality and the semiclassical trace formula

Cites Work

• Unnamed Item
• Quantization of Sinai's billiard -- a scattering approach
• A simple model for chaotic scattering. II: Quantum mechanical theory
• Semiclassical quantization of chaotic billiards: a scattering theory approach
• Penumbra diffraction in the semiclassical quantization of concave billiards
• Semiclassical theory of spectral rigidity

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