Stochastic dilation of minimal quantum dynamical semigroup

zbMath0766.60119MaRDI QIDQ1207752

Kalayan B. Sinha, Anilesh Mohari

Publication date: 23 May 1993

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

zbMATH Keywords

Markovian cocycleminimal quantum dynamical semigroupsquantum stochastic differential equation in Boson-Fock spacereflection principle of Brownian motion

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) General quantum mechanics and problems of quantization (81S99)

Related Items (9)

Markov shift in non-commutative probability. ⋮ On singular perturbations of quantum dynamical semigroups ⋮ Characterization of unitary processes with independent and stationary increments ⋮ Minimal isometric dilations of operator cocycles ⋮ A quantum Laguerre semigroup ⋮ Generators of Quantum One-Dimensional Diffusions ⋮ Unitary processes with independent increments and representations of Hilbert tensor algebras ⋮ Markovian cocycles on operator algebras adapted to a Fock filtration ⋮ Solving quantum stochastic differential equations with unbounded coefficients

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