Spectral families of quantum stochastic integrals

DOI10.1007/BF02099151zbMath0851.60068MaRDI QIDQ1912585

David Applebaum

Publication date: 4 November 1996

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

zbMATH Keywords

Lévy processesFock spaceLévy measurePoisson random measuresspectral integration for quantum stochastic integrals

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Quantum stochastic calculus (81S25) Stochastic analysis (60H99)

Related Items (2)

Quantum martingale measures and stochastic partial differential equations in Fock space ⋮ Poisson stochastic integration in Hilbert spaces.

Cites Work

• Stochastic dilations of uniformly continuous completely positive semigroups
• Quantum Ito's formula and stochastic evolutions
• Stochastic integral representation of bounded quantum martingales in Fock space
• Quantum continual measurements and a posteriori collapse on CCR
• Quantum probability for probabilists
• On the generators of quantum dynamical semigroups
• Deformations of cocycles, quantum Lévy processes and quantum stochastic flows
• Lévy flows on manifolds and Lévy processes on Lie groups
• Unitary actions of Lévy flows of diffeomorphisms

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