Non ergodic quantum behaviour in classically chaotic 3D billiards
Giulio Casati, Tomaz Prosen
Abstract
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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