The Itô-Clifford Integral II-Stochastic Differential Equations

DOI10.1112/jlms/s2-27.2.373zbMath0503.60065OpenAlexW2163288027MaRDI QIDQ3969650

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

Publication date: 1983

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-27.2.373

zbMATH Keywords

Fock representationClifford algebraLipschitz mapsFermion martingaleIto-Clifford integral

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Free probability and free operator algebras (46L54) Applications of selfadjoint operator algebras to physics (46L60) Quantum equilibrium statistical mechanics (general) (82B10) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Stochastic integrals (60H05) Classifications of (C^*)-algebras (46L35)

Related Items (12)

Quantum stochastic integrals under standing hypotheses ⋮ Existence and stability results for strong solutions of lipschitzian quantum stochastic differential equations ⋮ On computational procedures for weak solutions of quantum stochastic differential equations ⋮ Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions ⋮ The Ito-Clifford integral. III: The Markov property of solutions to stochastic differential equations ⋮ Quantum stochastic integration and quantum stochastic differential equations ⋮ Quantum stochastic differential equations for boson and fermion systems -- method of non-equilibrium thermo field dynamics. ⋮ Classical and quantum probability ⋮ Further results on the existence, uniqueness and stability of strong solutions of quantum stochastic differential equations ⋮ Noncommutative stochastic integration through decoupling ⋮ Quasi-free quantum stochastic integrals for the CAR and CCR ⋮ Converging multistep schemes for weak solutions of quantum stochastic differential equations

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