\(\mathbf{Q}\)-adapted quantum stochastic integrals and differentials in Fock scale (Q2905538)
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scientific article; zbMATH DE number 6072830
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\mathbf{Q}\)-adapted quantum stochastic integrals and differentials in Fock scale |
scientific article; zbMATH DE number 6072830 |
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27 August 2012
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quantum stochastic calculus
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non-adapted stochastic integrals
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white noise analysis
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Fock space calculus
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\(\mathbf{Q}\)-adapted quantum stochastic integrals and differentials in Fock scale (English)
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The paper extends earlier results obtained by the first author [J. Funct. Anal. 102, No. 2, 414--447 (1991; Zbl 0737.60042)] on multiple quantum stochastic integrals based on the authors' Fock scale calculus to the \(Q\)-adapted case. Quantum stochastic integrals are defined on the so-called rigged Guichardet-Fock space. Rigorous analysis of the quantum stochastic integrals is carried out and \(Q\)-adapted dynamics is discussed, including bosonic (\(Q=I\)), fermionic (\(Q=-I\)) and monotone (\(Q=0\)) quantum dynamics.NEWLINENEWLINEFor the entire collection see [Zbl 1248.46002].
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