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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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