Global quantities in algebraic quantum mechanics of infinite systems: Classical observables or parameters?

DOI10.1063/1.528453zbMath0664.46066OpenAlexW2132609785MaRDI QIDQ3814242

Jürgen Pöttinger

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528453

zbMATH Keywords

interpretation of quantum mechanics of infinite systemsLocal observables of an infinite systemquasilocal \(C^*\)-algebratransitive system of imprimitivity of a kinematical group in the center of the \(W^*\)-algebra

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Quantum equilibrium statistical mechanics (general) (82B10) Miscellaneous applications of functional analysis (46N99)

Cites Work

• Unitary representations of group extensions. I
• Covariant representations of \(C^ *\)-algebras and their locally compact automorphism groups
• Operator methods in classical mechanics. II
• Jauch–Piron states in W*-algebraic quantum mechanics
• An Algebraic Approach to Quantum Field Theory

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