Quantum \(\Omega\)-semimartingales and stochastic evolutions

DOI10.1006/jfan.2001.3809zbMath0991.46036OpenAlexW2086585077MaRDI QIDQ5953427

Alexander C. R. Belton

Publication date: 28 August 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2001.3809

zbMATH Keywords

quantum stochastic differential equations\(\Omega\)-adaptednessBoson Fock spaceconditional expectation processquantum dynamical semigroupsquantum semimartingales

Mathematics Subject Classification ID

Generalizations of martingales (60G48) Noncommutative probability and statistics (46L53) Quantum stochastic calculus (81S25) Stochastic integrals (60H05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (1)

On stopping Fock-space processes

Cites Work

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• Quantum Ito's formula and stochastic evolutions
• Dilations of quantum dynamical semigroups with classical Brownian motion
• Existence of quantum diffusions
• Quantum and non-causal stochastic calculus
• An algebra of non-commutative bounded semimartingales: Square and angle quantum brackets
• Symmetric Hilbert spaces and related topics. Infinitely divisible positive definite functions, continuous products and tensor products, Gaussian and Poissonian stochastic processes
• Theitô Formula for Quantum Semimartingales
• On Integration in Vector Spaces
• A quantum nonadapted Ito formula and stochastic analysis in Fock scale

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