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Quantum stochastic calculus

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Abstract

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.

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Authors
  1. A. S. Kholevo
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennye Problemy Matematiki, Noveishie Dostizheniya, Vol. 36, pp. 3–28, 1990.

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Kholevo, A.S. Quantum stochastic calculus. J Math Sci 56, 2609–2624 (1991). https://doi.org/10.1007/BF01095973

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