Zur Realisierung unabhängiger kanonischer Paare

DOI10.1007/BF01224972zbMath0452.46035MaRDI QIDQ1148517

Thomas Drisch

Publication date: 1980

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

canonical commutation relationsGleason measuresquantummechanical probability theorystates on tensor products of Hilbert space

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) States of selfadjoint operator algebras (46L30)

Cites Work

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• Set theory. An introduction to large cardinals
• The theorem of Gleason for non-separable Hilbert spaces
• Quantum mechanical Wiener processes
• Hilbert space, independence, and generalized probability
• Probability in physics and a theorem on simultaneous observability
• Gleason measures on infinite tensor products of Hilbert spaces
• A quantum-mechanical central limit theorem
• Generalization of Gleason's theorem

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