Event structures in nonstandard quantum mechanics

DOI10.1063/1.530677zbMath0826.46074OpenAlexW1978593822MaRDI QIDQ4837130

Stanley P. Gudder

Publication date: 4 July 1995

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

Full work available at URL: https://doi.org/10.1063/1.530677

zbMATH Keywords

splitting subspacesclosed internal subspacesclosed subspaces of a nonstandard Hilbert spaceevent structures in nonstandard quantum mechanics

Mathematics Subject Classification ID

Applications of functional analysis in quantum physics (46N50) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Nonstandard functional analysis (46S20)

Cites Work

• Completeness of inner product spaces and quantum logic of splitting subspaces
• Filters and supports in orthoalgebras
• Nonstandard Fock spaces
• Decompositions of measures on orthoalgebras and difference posets
• Making the hyperreal line both saturated and complete
• Nonstandard scalar quantum fields

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