Construction of some quantum stochastic operator cocycles by the semigroup method

DOI10.1007/BF02829707zbMath1123.47052arXivmath/0606545OpenAlexW2034378723MaRDI QIDQ861778

Stephen J. Wills, J. Martin Lindsay

Publication date: 30 January 2007

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606545

zbMATH Keywords

semigroupquantum probabilityquantum stochastic differential equationstochastic cocycle

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Applications of operator theory in the physical sciences (47N50) Random operators and equations (aspects of stochastic analysis) (60H25) Distributions, generalized functions, distribution spaces (46F99) Applications of operator theory in probability theory and statistics (47N30)

Related Items (6)

Approximation and limit theorems for quantum stochastic models with unbounded coefficients ⋮ Quantum Markov Semi-Groups of Quasi-Generic Spin Systems ⋮ On the Hamiltonian of a class of quantum stochastic processes ⋮ Characterization of unitary processes with independent and stationary increments ⋮ Unitary processes with independent increments and representations of Hilbert tensor algebras ⋮ Discrete approximation of quantum stochastic models

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