Volume 86, Number 2, April 2009
Article Number 20009
Number of page(s) 6
Section General
Published online 06 May 2009
EPL, 86 (2009) 20009
DOI: 10.1209/0295-5075/86/20009

The ESR model: A proposal for a noncontextual and local Hilbert space extension of QM

C. Garola and S. Sozzo

Università del Salento, Dipartimento di Fisica and INFN - Via Arnesano, 73100 Lecce, Italy, EU

received 11 March 2009; accepted in final form 1 April 2009; published April 2009
published online 6 May 2009

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.

03.65.-w - Quantum mechanics.
03.65.Ca - Formalism.
03.65.Ta - Foundations of quantum mechanics; measurement theory.

© EPLA 2009