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Zbl 1074.81042
Blanchard, Ph.; Olkiewicz, R.
Decoherence induced transition from quantum to classical dynamics. (English)
[J] Rev. Math. Phys. 15, No. 3, 217-243 (2003). ISSN 0129-055X

Summary: Framework for a general discussion of environmentally induced classical properties, like superselection rules, privileged basis and classical behavior, in quantum systems with both finite and infinite number of degrees of freedom is proposed. A number of examples showing that classical properties do not have to be postulated as an independent ingredient are given. In particular, it is shown that infinite open quantum systems in some cases may behave like simple classical dynamical systems.

MSC 2000:: *81S25 Quantum stochastic calculus
46L57 Derivations etc. in $C^*$-algebras
47D06 One-parameter semigroups and linear evolution equations

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Zentralblatt MATH Berlin [Germany]