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  • 1
    Electronic Resource
    Electronic Resource
    The dynamical entropy of the quantum Arnold cat map (1995)
    Springer
    Letters in mathematical physics 35 (1995), S. 375-383 
    Details
    ISSN: 1573-0530
    Keywords: 46L55 ; 28D20 ; 82B10
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We present a rigorous computation of the dynamical entropyh of the quantum Arnold cat map. This map, which describes a flow on the noncommutative two-dimensional torus, is a simple example of a quantum dynamical system with optimal mixing properties, characterized by Lyapunov exponents ± 1n λ+, λ+ 〉 1. We show that, for all values of the quantum deformation parameter,h coincides with the positive Lyapunov exponent of the dynamics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00750844
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