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.


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