The formulation of quantum mechanics in terms of nuclear algebras

DOI10.1023/A:1026685224464zbMath0935.46061OpenAlexW38383632MaRDI QIDQ1805587

Mario A. Castagnino, Sergio Manuel Iguri

Publication date: 18 November 1999

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1026685224464

zbMATH Keywords

unbounded operatorsGNS theoremextremal decomposition theoremfunctional representation theoremnuclear barelled \(b^*\)-algebras

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Applications of selfadjoint operator algebras to physics (46L60) Applications of functional analysis in quantum physics (46N50) Barrelled spaces, bornological spaces (46A08) General theory of topological algebras with involution (46K05)

Related Items (6)

Non-integrability and mixing in quantum systems: on the way to quantum chaos ⋮ A modal-Hamiltonian interpretation of quantum mechanics ⋮ Some remarks on the Gelfand–Naimark–Segal representations of topological  *-algebras ⋮ On the classical limit of quantum mechanics, fundamental graininess and chaos: compatibility of chaos with the correspondence principle ⋮ Growing classical and quantum entropies in the early universe ⋮ Self-induced decoherence: a new approach

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