On the reflection process of quantum stochastic calculus

DOI10.1016/0034-4877(96)88922-1zbMath0888.60096OpenAlexW2000338774MaRDI QIDQ1373508

Ivan F. Wilde

Publication date: 2 June 1998

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(96)88922-1

zbMATH Keywords

Brownian motionstochastic calculusFock space creationItô-Clifford fermion theory

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Quantum stochastic calculus (81S25)

Cites Work

• Quasi-free quantum stochastic integrals for the CAR and CCR
• A non-commutative martingale representation theorem for non-Fock quantum Brownian motion
• Fermion martingales
• Stochastic integral representation of bounded quantum martingales in Fock space
• Unification of Fermion and Boson stochastic calculus
• On non-Fock boson stochastic integrals
• The Ito-Clifford integral
• Quasi-free stochastic integral representation theorems over the CCR
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