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The classical limit for quantum dynamical semigroups

โœ Scribed by E. B. Davies

Publisher
Springer
Year
1976
Tongue
English
Weight
652 KB
Volume
49
Category
Article
ISSN
0010-3616

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๐Ÿ“œ SIMILAR VOLUMES

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Semi-classical approximation for a class of quantum dynamical semigroups
โœ R. Alicki; F. Langouche; D. Roekaerts ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 499 KB

We determine the complex semi-classical approximation to the propagator for a class of quantum dynamical semigroups and study a simple model. The method uses functional integral techniques developed earlier.

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We show that any quantum dynamical semigroup can be written with the help of the solution of an operator-valued classical stochastic differential equation. Moreover, this equation leads to a canonical construction of a unitary dilation in terms of Wiener spaces. We also briefly discuss an equivalent