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Disheveled Arnold’s cat and the problem of quantum-classic correspondence. (English) Zbl 0942.37022

Let \(N = (\frac{1}{2 \pi \hbar}) ^{-1}\), where \( \hbar \) is the Planck constant divided by \( 2 \pi . \) In the particular case: \(N = M ^2\), the author gives a connection between the classical mechanics of the Arnold’s cat map and its quantum counterpart.

MSC:

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
81Q50 Quantum chaos
Full Text: DOI

References:

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