DILATION OF ARBITRARY SYMMETRIC QUANTUM DYNAMICAL SEMIGROUPS ON $B({\mathcal H})$

DOI10.1142/S0219025712500178zbMath1259.81036arXiv1006.4541OpenAlexW2963434870MaRDI QIDQ4902703

Biswarup Das

Publication date: 17 January 2013

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.4541

zbMATH Keywords

dilationquantum stochasticsquantum dynamical semigroups

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Noncommutative dynamical systems (46L55) Applications of selfadjoint operator algebras to physics (46L60) Quantum stochastic calculus (81S25) Applications of functional analysis in quantum physics (46N50)

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Cites Work

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• Quantum Ito's formula and stochastic evolutions
• Sufficient conditions for conservativity of minimal quantum dynamical semigroups
• Derivations as square roots of Dirichlet forms
• Markovian cocycles on operator algebras adapted to a Fock filtration
• Solving quantum stochastic differential equations with unbounded coefficients
• Quantum Stochastic Processes and Noncommutative Geometry
• Quantum stochastic processes