Quantum stochastic calculus
type: Item
instance of: scholarly article
title: Quantum stochastic calculus
zbMATH Open document ID: 0732.60066
DOI: 10.1007/BF01095973
published in: Journal of Soviet Mathematics
publication date: 1991-01-01T00:00:00Z
review text: The main aim of this paper is to introduce the reader into the quantum stochastic calculus in the symmetric Fock space from the stochastic processes point of view. The author discusses the quantum Itô formula, applications to probabilistic representations of solutions of differential equations, and applications to extensions of dynamical semigroups. New algebraic relations are given for chronologically ordered exponents which are similar to stochastic semigroups in the classical probability theory.
Mathematics Subject Classification ID: 81S25
Mathematics Subject Classification ID: 60H05
Mathematics Subject Classification ID: 46L51
Mathematics Subject Classification ID: 46L53
Mathematics Subject Classification ID: 46L54
Mathematics Subject Classification ID: 46L55
Mathematics Subject Classification ID: 60G99
zbMATH DE Number: 4211198
zbMATH Keywords: quantum stochastic calculus
zbMATH Keywords: symmetric Fock space
zbMATH Keywords: quantum Itô formula
zbMATH Keywords: chronologically ordered exponents
reviewed by: Sh. A. Ayupov
MaRDI profile type: Publication
cites work: Q3231492
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full work available at URL: https://doi.org/10.1007/bf01095973
OpenAlex ID: W2078065102
author: Alexander S. Holevo
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description: scientific article; zbMATH DE number 4211198