On stochastic differential equations and semigroups of probability operators in quantum probability

DOI10.1016/S0304-4149(97)00093-8zbMath0940.60078MaRDI QIDQ1965902

Anna Maria Paganoni, Fabio Zucca, Alberto Barchielli

Publication date: 1 March 2000

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

master equationsstochastic differential equations in Hilbert spacessemigroups of probability operators

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) One-parameter semigroups and linear evolution equations (47D06) Equations in function spaces; evolution equations (58D25)

Related Items (15)

Stochastic nonlinear Schrödinger equations ⋮ REGULARITY OF SOLUTIONS TO LINEAR STOCHASTIC SCHRÖDINGER EQUATIONS ⋮ Numerical simulation of stochastic evolution equations associated to quantum Markov semigroups ⋮ Scattering for stochastic nonlinear Schrödinger equations ⋮ Poisson and diffusion approximation of stochastic master equations with control ⋮ On Doob h-transformations for finite-time quantum state reduction ⋮ Basic properties of nonlinear stochastic Schrödinger equations driven by Brownian motions ⋮ Markov chains approximation of jump-diffusion stochastic master equations ⋮ Optimal bilinear control of stochastic nonlinear Schrödinger equations: mass-(sub)critical case ⋮ Quantum Bernoulli noises approach to Stochastic Schrödinger equation of exclusion type ⋮ On a class of stochastic differential equations used in quantum optics ⋮ Linear stochastic Schrödinger equations in terms of quantum Bernoulli noises ⋮ On the Asymptotic Behaviour of Some Stochastic Differential Equations for Quantum States ⋮ Numerical solution of conservative finite-dimensional stochastic Schrödinger equations ⋮ Jump-diffusion unravelling of a non-Markovian generalized Lindblad master equation

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