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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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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