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Stochastic isometries in quantum mechanics. (English) Zbl 0931.47060

The properties of a class of linear, trace-preserving, positive maps between the self-adjoint trace class operators on a complex separable Hilbert space are studied in some detail and the relevance of the results to quantum mechanics is explained.

MSC:

47L90 Applications of operator algebras to the sciences
47L07 Convex sets and cones of operators
47N50 Applications of operator theory in the physical sciences
46L65 Quantizations, deformations for selfadjoint operator algebras
81S25 Quantum stochastic calculus
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