The Ito-Clifford integral. III: The Markov property of solutions to stochastic differential equations

DOI10.1007/BF01219522zbMath0527.60059OpenAlexW2080901290MaRDI QIDQ595273

R. F. Streater, Christopher Barnett, Ivan F. Wilde

Publication date: 1983

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01219522

zbMATH Keywords

von Neumann algebraIto-Clifford stochastic integral

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Stochastic integrals (60H05)

Related Items (5)

Quantum stochastic integrals under standing hypotheses ⋮ Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions ⋮ Quantum stochastic integration and quantum stochastic differential equations ⋮ Quantum stochastic differential equations for boson and fermion systems -- method of non-equilibrium thermo field dynamics. ⋮ Quasi-free quantum stochastic integrals for the CAR and CCR

Cites Work

• Unnamed Item
• Tensor algebras over Hilbert spaces. II
• The Ito-Clifford integral
• Markov structures on Clifford algebras
• On the generators of quantum dynamical semigroups
• Quantum mechanical Wiener processes
• The free fermion field as a Markov field
• The free Markoff field
• Existence and uniqueness of physical ground states
• A non-commutative extension of abstract integration
• L p Fourier Transforms on Locally Compact Unimodular Groups
• The Itô-Clifford Integral II-Stochastic Differential Equations
• Quantum stochastic processes

This page was built for publication: The Ito-Clifford integral. III: The Markov property of solutions to stochastic differential equations