Abstract
In this chapter we will consider the question which quantum stochastic processes admit classical versions, i.e. for what families of operators (Xt)t∈I there exists a classical stochastic process (X͂t)t∈I on some probability space (Ω, F, P) such that all time-ordered moments agree, i.e.
for all n, k 1,..., k n ∈ IN, t 1 ≤ ... ≤ t n ≤ I, for the (vacuum) state Φ.
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© 1999 Springer Science+Business Media Dordrecht
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Franz, U., Schott, R. (1999). Markov structure of quantum Lévy processes. In: Stochastic Processes and Operator Calculus on Quantum Groups. Mathematics and Its Applications, vol 490. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9277-2_5
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DOI: https://doi.org/10.1007/978-94-015-9277-2_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5290-2
Online ISBN: 978-94-015-9277-2
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