Quantum stochastic operator cocycles via associated semigroups

DOI10.1017/S0305004106009923zbMath1122.60061arXivmath/0512398OpenAlexW2109389589MaRDI QIDQ5292515

Stephen J. Wills, J. Martin Lindsay

Publication date: 21 June 2007

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512398

zbMATH Keywords

semigroupsquantum stochastic differential equationcontraction cocyclequantum stochastic operator cocycle

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Random operators and equations (aspects of stochastic analysis) (60H25) Quantum stochastic calculus (81S25) Random linear operators (47B80) Linear differential equations in abstract spaces (34G10)

Related Items (8)

On the relationship between a quantum Markov semigroup and its representation via linear stochastic Schrödinger equations ⋮ Strong convergence of quantum random walks via semigroup decomposition ⋮ Construction of some quantum stochastic operator cocycles by the semigroup method ⋮ Asymptotic equivalence of quantum stochastic models ⋮ Approximation and limit theorems for quantum stochastic models with unbounded coefficients ⋮ Quantum Markov Semi-Groups of Quasi-Generic Spin Systems ⋮ A quantum stochastic Lie-Trotter product formula ⋮ Discrete approximation of quantum stochastic models

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