A note on a formula of the Lévy-Khinchin type in quantum probability

DOI10.1017/S0027763000005511zbMath0845.60076OpenAlexW1491325592MaRDI QIDQ4882772

Anna Maria Paganoni, Alberto Barchielli

Publication date: 30 June 1996

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000005511

zbMATH Keywords

stochastic differential equationsquantum mechanicsone-parameter semigroupsinfinitesimal generatorsquantum continuous measurementsLévy-Khinchin formula

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Markov semigroups and applications to diffusion processes (47D07) Quantum measurement theory, state operations, state preparations (81P15) Transition functions, generators and resolvents (60J35)

Related Items (6)

On the quantum theory of measurements continuous in time ⋮ Unnamed Item ⋮ Markovian master equations for quantum-classical hybrid systems ⋮ On stochastic differential equations and semigroups of probability operators in quantum probability ⋮ MAXIMAL COMMUTATIVE SUBALGEBRAS INVARIANT FOR CP-MAPS: (COUNTER-)EXAMPLES ⋮ Jump-diffusion unravelling of a non-Markovian generalized Lindblad master equation

Cites Work

• Unnamed Item
• Probability operator and convolution semigroups of instruments in quantum probability
• A continuous observation of photon emission
• An analogue of Hunt's representation theorem in quantum probability
• On the generators of quantum dynamical semigroups
• On the quantum theory of measurements continuous in time
• Constructing quantum measurement processes via classical stochastic calculus
• A quantum analogue of Hunt's representation theorem for the generator of convolution semigroups on Lie groups

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