A differential structure for quantum mechanics

DOI10.1016/0393-0440(85)90006-3zbMath0607.46041OpenAlexW2031243940WikidataQ115363188 ScholiaQ115363188MaRDI QIDQ1085403

Stanislaw Zakrzewski

Publication date: 1985

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(85)90006-3

zbMATH Keywords

rigged Hilbert spaceGelfand tripleaction of a Lie group on a \(C^ *\)-algebranon-commutative analogue of differential structure

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Applications of selfadjoint operator algebras to physics (46L60) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) General mathematical topics and methods in quantum theory (81Q99) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (1)

Le langage des espaces et des groupes quantiques. (The language of quantum spaces and quantum groups)

Cites Work

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• On weak and monotone \(\sigma\)-closures of \(C^ *\)-algebras
• Measure Theory for $C^*$ Algebras.
• Distributions and Their Hermite Expansions
• Ideals in a $C^*$-Algebra.

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