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BY-NC-ND 3.0 license Open Access Published by De Gruyter June 2, 2014

When do Projections Commute?

  • W. Rehder

Abstract

Necessary and sufficient conditions for commutativity of two projections in Hilbert space are given through properties of so-called conditional connectives which are derived from the conditional probability operator PQP. This approach unifies most of the known proofs, provides a few new criteria, and permits certain suggestive interpretations for compound properties of quantum-mechanical systems.

Received: 1979-11-17
Published Online: 2014-6-2
Published in Print: 1980-4-1

© 1946 – 2014: Verlag der Zeitschrift für Naturforschung

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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