Algebra of Measurements: The Logical Structure of Quantum Mechanics

D Gabbay, K Engesser, D Lehmann

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

In quantum physics, a measurement is represented by a projection on some closed subspace of a Hilbert space. We study algebras of operators that abstract from the algebra of projections on closed subspaces of a Hilbert space. The properties of such operators are justified on epistemological grounds. Commutation of measurements is a central topic of interest. Classical logical systems may be viewed as measurement algebras in which all measurements commute.
Original languageEnglish
Pages (from-to)698 - 723
Number of pages26
JournalJournal of Theoretical Physics
Volume45
Issue number4
DOIs
Publication statusPublished - Apr 2006

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