UNITS FOR THE TIME-ORDERED FOCK MODULE

DOI10.1142/S0219025701000620zbMath1039.81059MaRDI QIDQ4460463

Volkmar Liebscher, Michael Skeide

Publication date: 18 May 2004

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Many-body theory; quantum Hall effect (81V70) Quantum stochastic calculus (81S25) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (7)

Type I product systems of Hilbert modules ⋮ CP-semigroups and dilations, subproduct systems and superproduct systems: the multi-parameter case and beyond ⋮ Classification of 𝐸₀–semigroups by product systems ⋮ Structure of block quantum dynamical semigroups and their product systems ⋮ Subsystems of Fock need not be Fock: Spatial CP-semigroups ⋮ MAXIMAL COMMUTATIVE SUBALGEBRAS INVARIANT FOR CP-MAPS: (COUNTER-)EXAMPLES ⋮ THE INDEX OF (WHITE) NOISES AND THEIR PRODUCT SYSTEMS

Cites Work

• Hilbert modules in quantum electro dynamics and quantum probability
• Quantum stochastic calculus on full Fock modules
• Hilbert modules and stochastic dilation of a quantum dynamical semigroup on a von Neumann algebra
• Cohomology of Operator Algebras and Quantum Dynamical Semigroups

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