Titlebook: Deterministic Chaos in Infinite Quantum Systems; Fabio Benatti Book 1993 Springer-Verlag Berlin Heidelberg 1993 Entropie.Ergodentheorie.In

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Si Si Mar Win,Hnin Mya Aye,Than New AungQuantum systems are commonly described by means of some (separable) Hilbert space ? and of linear operators on it playing the role of . The set .(?) comprising all bounded linear operators is an algebra with respect to the natural operator product.

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Introduction,The purpose of this volume is to give a detailed account of a series of results concerning some ergodic questions of quantum mechanics which have been addressed in the past six years following the formulation of a generalized Kolmogorov-Sinai entropy by A.Connes, H.Narnhofer and W.Thirring.

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Algebraic Approach to Classical Ergodic Theory,Motivated by Section 2.3.1 we can think of a classical dynamical system in terms of an abstract Abelian . algebra . (with identity ?) and of a reversible evolution defined by the ?-action of a *automorphism Θ : .→..

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Infinite Quantum Systems,Quantum systems are commonly described by means of some (separable) Hilbert space ? and of linear operators on it playing the role of . The set .(?) comprising all bounded linear operators is an algebra with respect to the natural operator product.

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Appendix,A linear space . (? as field of coefficients) equipped with a multiplication law that sends each couple of elements ., . into another element . . in an associative and distributive way.

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https://doi.org/10.1007/978-3-642-84999-2Entropie; Ergodentheorie; Infinite Quantum System; chaos; deterministic chaos; entropy; ergodic theory; qua

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