Quasi-free stochastic integral representation theorems over the CCR

DOI10.1017/S0305004100065543zbMath0664.46062OpenAlexW2098147419MaRDI QIDQ3814240

Ivan F. Wilde

Publication date: 1988

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100065543

zbMATH Keywords

CCRquantum stochastic integralscreation and annihilation processescentred vector-valued martingaleQuantum stochastic integral representation theoremsquasi-free quantum stochastic theory of bosonsWeyl martingales

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Martingales with continuous parameter (60G44) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Stochastic integrals (60H05)

Related Items (2)

On the reflection process of quantum stochastic calculus ⋮ Random Times and Time Projections

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
• On non-Fock boson stochastic integrals
• The Ito-Clifford integral

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