Non ergodic quantum behaviour in classically chaotic 3D billiards

Giulio Casati (International Center for the study of dynamical systems; Italy); Slovenia); Tomaz Prosen (Physics Dept.; University of Ljubljana; University of Milano at Como

arxiv: cond-mat/9704084 · v1 · submitted 1997-04-10 · ❄️ cond-mat

Non ergodic quantum behaviour in classically chaotic 3D billiards

Giulio Casati (International Center for the study of dynamical systems , University of Milano at Como , Italy) , Tomaz Prosen (Physics Dept. , University of Ljubljana , Slovenia) This is my paper

classification ❄️ cond-mat

keywords quantumbehaviourchaoticclassicallyergodicanalyticallyappearencebilliard

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We study, analytically and numerically, the classical and quantum properties of a nearly spherical 3D billiard. In particular we show the appearence of quantum non ergodic behaviour and of the deviations from Random Matrix Theory predictions which are due to the quantum suppression of classically chaotic diffusion.

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Non ergodic quantum behaviour in classically chaotic 3D billiards

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