A quantum stochastic calculus
Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 36 (1989), pp. 3-28
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An introduction to quantum stochastic calculus in symmetric Fock spaces from the point of view of the theory of stochastic processes. Among the topics discussed are the quantum Itô formula, applications to probability representation of solutions of differential equations, extensions of dynamical semigroups. New algebraic expressions are given for the chronologically ordered exponential functions generated by stochastic semigroups in classical probability theory.
@article{INTD_1989_36_a0,
author = {A. S. Holevo},
title = {A quantum stochastic calculus},
journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
pages = {3--28},
year = {1989},
volume = {36},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTD_1989_36_a0/}
}
A. S. Holevo. A quantum stochastic calculus. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 36 (1989), pp. 3-28. http://geodesic.mathdoc.fr/item/INTD_1989_36_a0/