Measures on the Hilbert space of a quantum system

DOI10.1134/S106192081702008XzbMath1373.81040OpenAlexW2620920544MaRDI QIDQ1678779

O. G. Smolyanov, Andrei Yu. Khrennikov

Publication date: 7 November 2017

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s106192081702008x

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (2)

Solution-giving formula to Cauchy problem for multidimensional parabolic equation with variable coefficients ⋮ Explicit formula for evolution semigroup for diffusion in Hilbert space

Cites Work

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• Infinite-dimensional equation Liouville with respect to measures
• Representation of quantum field theory as classical statistical mechanics for field functionals
• States of quantum systems and their liftings
• A pre-quantum classical statistical model with infinite-dimensional phase space
• Bogolyubov transformations in Wiener-Segal-Fock space

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