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The low density limit in finite temperature case. (English) Zbl 0806.46080
The authors consider two interacting systems. One is a spatially confined quantum system $$S$$, coupled to another infinite quantum system $$R$$ called “reservoir”. The state of the reservoir is a finite temperature state. They investigate a purely mathematical way, the low density limit. They prove that the limit exists for fugacity tending to zero and can be expressed by a scalar product of a function of a Markovian cocycle satisfying a quantum stochastic differential equation.

##### MSC:
 46N55 Applications of functional analysis in statistical physics 82C10 Quantum dynamics and nonequilibrium statistical mechanics (general)
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##### References:
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