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Quantum stochastic flows with infinite degrees of freedom and countable state Markov processes. (English) Zbl 0719.60126

Summary: Quantum stochastic flows are constructed for infinite degrees of freedom. The theory is then used to show that a classical countable state Markov process can be looked upon as one such commutative stochastic flow.

MSC:

60K40 Other physical applications of random processes
46L51 Noncommutative measure and integration
46L53 Noncommutative probability and statistics
46L54 Free probability and free operator algebras
81S25 Quantum stochastic calculus
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