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Dilations of quantum dynamical semigroups with classical Brownian motion

✍ Scribed by R. Alicki; M. Fannes

Publisher
Springer
Year
1987
Tongue
English
Weight
475 KB
Volume
108
Category
Article
ISSN
0010-3616

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πŸ“œ SIMILAR VOLUMES

On dilating quantum dynamical semigroups
On dilating quantum dynamical semigroups with classical brownian motion
✍ R. Alicki; M. Fannes πŸ“‚ Article πŸ“… 1986 πŸ› Springer 🌐 English βš– 160 KB

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

Semi-classical approximation for a class
Semi-classical approximation for a class of quantum dynamical semigroups
✍ R. Alicki; F. Langouche; D. Roekaerts πŸ“‚ Article πŸ“… 1982 πŸ› Elsevier Science 🌐 English βš– 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.