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

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

2008-11-04

arxiv.org/abs/0811.0531v2

Physics

Quantum Physics

12 pages, Standard Latex, Minor revisions

Scientific paper

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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