Quantum mechanics of chaotic billiards

Giulio Casati; Tomaz Prosen

doi:10.1016/s0167-2789(99)00002-0

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arXiv · cond-mat/9803360

Quantum mechanics of chaotic billiards

Giulio Casati·Tomaz Prosen

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Abstract

We study the quantum behaviour of chaotic billiards which exhibit classically diffusive behaviour. In particular we consider the stadium billiard and discuss how the interplay between quantum localization and the rich structure of the classical phase space influences the quantum dynamics. The analysis of this model leads to new insight in the understanding of quantum properties of classically chaotic systems.

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Giulio Casati, Tomaz Prosen. 1998-03-30. Quantum mechanics of chaotic billiards. https://doi.org/10.1016/s0167-2789(99)00002-0

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