Chaos in Quantum Dynamics: An Overview

  • Giulio Casati
Part of the NATO ASI Series book series (NSSB, volume 212)


We discuss the quantum behaviour of systems which exhibit deterministic chaos in the classical limit. To this end we first examine the motion of a rotator under an external time-periodic δ-like perturbation. When the perturbation is strong enough, the classical motion is chaotic and diffusive while the quantum excitation remains strongly localized. A similar phenomenon takes place in the more physical problem of an hydrogen atom irradiated by a linearly polarized microwave field. In this latter case however, there exists a critical value of the microwave field intensity above which localization is destroyed and strong quantum excitation takes place. Numerical computations confirm the above theoretical predictions which also agree with the experimental results so far available.


Wave Packet Chaotic Motion Microwave Field Anderson Localization Classical Motion 
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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • Giulio Casati
    • 1
  1. 1.Dipartimento di FisicaUniversita’ di MilanoMilanoItaly

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