A quantum analogue of Hunt's representation theorem for the generator of convolution semigroups on Lie groups

DOI10.1007/BF01212558zbMath0717.60114WikidataQ115393897 ScholiaQ115393897MaRDI QIDQ2638680

G. Lupieri, Alberto Barchielli

Publication date: 1991

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

quantum mechanicsconvolution semigroupsHunt's representation theoremconvolution semigroups on Lie groups

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items (5)

On the quantum theory of measurements continuous in time ⋮ A note on a formula of the Lévy-Khinchin type in quantum probability ⋮ On stochastic differential equations and semigroups of probability operators in quantum probability ⋮ An analogue of Hunt's representation theorem in quantum probability ⋮ On the Asymptotic Behaviour of Some Stochastic Differential Equations for Quantum States

Cites Work

• Probability operator and convolution semigroups of instruments in quantum probability
• On the generators of quantum dynamical semigroups
• Semi-Groups of Measures on Lie Groups
• Quantum stochastic calculus, operation valued stochastic processes, and continual measurements in quantum mechanics
• Fast positive operatoren
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