Superposition, transition probabilities and primitive observables in infinite quantum systems

DOI10.1007/s00220-015-2405-xzbMath1319.81063arXiv1411.2100OpenAlexW2963681044MaRDI QIDQ2356052

Detlev Buchholz, Erling Størmer

Publication date: 28 July 2015

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.2100

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Quantum equilibrium statistical mechanics (general) (82B10) Quantum measurement theory, state operations, state preparations (81P15) Operator algebra methods applied to problems in quantum theory (81R15) States of selfadjoint operator algebras (46L30) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (7)

The split property for quantum field theories in flat and curved spacetimes ⋮ Arrow of time and quantum physics ⋮ A \(\mathrm{C}^*\)-algebraic approach to interacting quantum field theories ⋮ Classical dynamics, arrow of time, and genesis of the Heisenberg commutation relations ⋮ The split property for locally covariant quantum field theories in curved spacetime ⋮ Localized excitations from localized unitary operators ⋮ Transition probabilities of normal states determine the Jordan structure of a quantum system

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