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Physical Review A

Wave chaos in quantized classically nonchaotic systems

Petr Šeba, Karol Życzkowski

Published Sep 1, 1991• 39 citations
Publisher

Abstract

We discuss the properties of the wave chaos appearing in some quantized systems that are classically not chaotic.Received 10 December 1990DOI:https://doi.org/10.1103/PhysRevA.44.3457©1991 American Physical Society

DOI
10.1103/physreva.44.3457

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We discuss the properties of the wave chaos appearing in some quantized systems that are classically not chaotic.Received 10 December 1990DOI:https://doi.org/10.1103/PhysRevA.44.3457©1991 American Physical Society
The influence of quantum chaos on small atomic systems is reviewed. It now seems clear that chaos in the usually understood sense (e.g. exponential sensitivity to perturbations) is not found in isolated quantum systems. However, there are phenomena which appear only when the corresponding classical system is chaotic. The stability of the classical dynamics, in other words whether it is regular or chaotic, has a profound effect on the character of the corresponding quantum spectrum and wavefunctions.