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Quantum Manifestations of Classical Stochasticity

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Book cover Chaos: Concepts, Control and Constructive Use

Part of the book series: Understanding Complex Systems ((UCS))

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Abstract

After almost a hundred years of development, quantum mechanics has become a universal picture of the world. All its predictions are correct for every observable scale of energy. However, this does not mean that from time to time, quantum mechanics does not face some new challenges. A serious conceptual problem, defined in the second part of the last century, took the name of quantum chaos. The point is that on the one hand, the energy spectrum of every quantum system with finite motion is discrete, and thus its evolution is quasiperiodic; but on the other hand, the correspondence principle requires the transition to classical mechanics that demonstrates not only regular modes but also the chaotic ones. To solve this problem, we have to answer first this question: how should we understand the statement that one theory is a limiting case of another? [1].

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Authors and Affiliations

  1. A.I. Akhiezer Institute for Theoretical Physics, Kharkov, Ukraine

    Yurii Bolotin

  2. Institut de Recherche en Astrophysique et Planetologie, CNRS Université Paul-Sabatier, Toulouse, France

    Anatoli Tur

  3. National Academy of Sciences of Ukraine, Institute for Single Crystals, Kharkov, Ukraine

    Vladimir Yanovsky

Authors
  1. Yurii Bolotin
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  2. Anatoli Tur
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  3. Vladimir Yanovsky
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Bolotin, Y., Tur, A., Yanovsky, V. (2017). Quantum Manifestations of Classical Stochasticity. In: Chaos: Concepts, Control and Constructive Use. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-42496-5_9

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