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Other literature type . 1974
Data sources: Project Euclid
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Communications in Mathematical Physics
Article . 1974 . Peer-reviewed
License: Springer TDM
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zbMATH Open
Article . 1974
Data sources: zbMATH Open
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Markovian master equations

Authors: Davies, E. B.;

Markovian master equations

Abstract

We give a rigorous proof that under certain technical conditions the memory effects in a quantum-mechanical master equation become negligible in the weak coupling limit. This is sufficient to show that a number of open systems obey an exponential decay law in the weak coupling limit for a rescaled time variable. The theory is applied to a fairly general finite dimensional system weakly coupled to an infinite free heat bath.

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Keywords

Asymptotic theory of functional-differential equations, Integro-ordinary differential equations, Differential equations in abstract spaces, Interacting random processes; statistical mechanics type models; percolation theory, 81.60

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    660
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
660
Top 0.1%
Top 0.1%
Top 10%
Green
bronze
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