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

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.

12 pages, Standard Latex, Minor revisions

References in corpus (2)

• Embedding Quantum Mechanics Into a Broader Noncontextual Theory: A Conciliatory Result
• On the Physical Interpretation of Partial Traces: Two Nonstandard Viewpoints

Cited by in corpus (5)

• Embedding Quantum Mechanics Into a Broader Noncontextual Theory: A Conciliatory Result
• Outline of a Generalization and a Reinterpretation of Quantum Mechanics Recovering Objectivity
• Extended Representations of Observables and States for a Noncontextual Reinterpretation of QM
• Finite Local Models for the GHZ Experiment
• The Quantum Harmonic Oscillator in the ESR Model