Time-orthogonal unitary dilations and noncommutative Feynman-Kac formulae. II

DOI10.2977/prims/1195181414zbMath0575.46053OpenAlexW2139109069MaRDI QIDQ1064524

K. R. Parthasarathy, Patrick D. F. Ion, Robin L. Hudson

Publication date: 1984

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195181414

zbMATH Keywords

dilationBoson Fock spacetrace class operatorsecond quantisationFeynman-Kac type formulaEuclidean covariance propertyextremal universally invariant state of the CCR algebraFermion second quantisationstrongly continuous self-adjoint contraction semigroup in a Hilbert spacetwo parameter evolution

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Groups and semigroups of linear operators (47D03) Path integrals in quantum mechanics (81S40) Applications of selfadjoint operator algebras to physics (46L60) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items

Infinite Chevalley products of von Neumann algebras, Fermion Ito's formula. II: The gauge process in fermion Fock space, The strong Markov property for fermion Brownian motion

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• On unitary ray representations of continuous groups
• Linear Symmetries of Free Boson Fields