Quantum stopping times and quasi-left continuity
Stéphane Attal, Agnès Coquio (2004)
Annales de l'I.H.P. Probabilités et statistiques
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Stéphane Attal, Agnès Coquio (2004)
Annales de l'I.H.P. Probabilités et statistiques
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Maria Elvira Mancino (1994)
Rendiconti del Seminario Matematico della Università di Padova
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John Gough (2006)
Banach Center Publications
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We present quantum stochastic calculus in terms of diagrams taking weights in the algebra of observables of some quantum system. In particular, we note the absence of non-time-consecutive Goldstone diagrams. We review recent results in Markovian limits in these terms.
Robin Hudson, Martin Lindsay (1985)
Annales de l'I.H.P. Physique théorique
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Jürgen Hellmich, Claus Köstler, Burkhard Kümmerer (1998)
Banach Center Publications
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From the operator algebraic approach to stationary (quantum) Markov processes there has emerged an axiomatic definition of quantum white noise. The role of Brownian motion is played by an additive cocycle with respect to its time evolution. In this report we describe some recent work, showing that this general structure already allows a rich theory of stochastic integration and stochastic differential equations. In particular, if a quantum Markov process is represented by a unitary cocycle,...
Kalyanapuram Rangachari Parthasarathy, Kalyan B. Sinha (1990)
Séminaire de probabilités de Strasbourg
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Majewski, Adam W., Zegarlinski, Boguslaw (1995)
Mathematical Physics Electronic Journal [electronic only]
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Michael Skeide (1998)
Banach Center Publications
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We present a new version of integration of time-adapted processes with respect to creation, annihilation and conservation processes on the full Fock space. Among the new features, in the first place, there is a new formulation of adaptedness which is both simpler and more general than the known ones. The new adaptedness allows for processes which are not restricted to be elements of some norm closure of the ∗-algebra which is generated by the basic creation processes.