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arXiv · 0811.0531

A Hilbert Space Representation of Generalized Observables and Measurement Processes in the ESR Model

Sandro Sozzo·Claudio Garola
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Abstract

The extended semantic realism (ESR) model recently worked out by one of the authors embodies the mathematical formalism of standard (Hilbert space) quantum mechanics 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 that satisfy a simple physical condition, propose a generalization of the projection postulate, and suggest a possible mathematical description of the measurement process in terms of evolution of the compound system made up of the measured system and the measuring apparatus.

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Sandro Sozzo, Claudio Garola. 2009-08-29. A Hilbert Space Representation of Generalized Observables and Measurement Processes in the ESR Model. https://doi.org/10.1007/s10773-010-0264-y

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