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.
This publication is cited in the following 23 articles:
A. S. Trushechkin, “Kinetic State and Emergence of Markovian Dynamics in Exactly Solvable Models of Open Quantum Systems”, Proc. Steklov Inst. Math., 324 (2024), 187–212
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Igor G. Vladimirov, 2015 IEEE Conference on Control Applications (CCA), 2015, 29
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