Stochastic methods in quantum mechanics. (English) Zbl 0439.46047

Gudder, Stanley P.

North Holland Series in Probability and Applied Mathematics. New York, Oxford: North Holland, New York. XI, 219 p. $ 22.50 (1979).

MSC:

46L51	Noncommutative measure and integration
46L53	Noncommutative probability and statistics
46L54	Free probability and free operator algebras
46N99	Miscellaneous applications of functional analysis
46L55	Noncommutative dynamical systems
46L60	Applications of selfadjoint operator algebras to physics
81Pxx	Foundations, quantum information and its processing, quantum axioms, and philosophy
81T08	Constructive quantum field theory
46-02	Research exposition (monographs, survey articles) pertaining to functional analysis
60G60	Random fields

Keywords:

stochastic methods in quantum mechanics; generalized random fields; generalized probability theory; quantum logic; operational approach; Mackey-type axioms; event-state-structures; conditional expectations; quantum Markov processes; tempered distributions; orthogonal additivity; C*-algebras; random fields; Wightman axioms; Euclidean random fields

Citations:

Zbl 0329.46018