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Studies in History and Philosophy of Science Part B Studies in History and Philosophy of Modern Physics

Hilbert space quantum mechanics is noncontextual

Robert B. Griffiths

Published Jul 4, 2013• 12 citations
Publisher
DOI
10.1016/j.shpsb.2013.02.001

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The extended semantic realism ( ESR ) model proposes a new theoretical perspective that embodies the mathematical formalism of standard (Hilbert space) quantum mechanics (QM) in a noncontextual framework, reinterpreting quantum probabilities as conditional instead of absolute . We provide here a Hilbert space representation of the generalized observables introduced by the ESR model. By using this representation, we supply a straightforward generalization of the projection postulate and justify it in the case of discrete generalized observables by introducing a reasonable physical assumption on the evolution of the compound system made up of the (microscopic) measured system and the (macroscopic) measuring apparatus.