On the Spin Projection Operator and the Probabilistic Meaning of the Bipartite Correlation Function

Foundations of Physics 50 (1):27-39 (2020)
  Copy   BIBTEX

Abstract

Spin is a fundamental and distinctive property of the electron, having far-reaching implications. Yet its purely formal treatment often blurs the physical content and meaning of the spin operator and associated observables. In this work we propose to advance in disclosing the meaning behind the formalism, by first recalling some basic facts about the one-particle spin operator. Consistently informed by and in line with the quantum formalism, we then proceed to analyse in detail the spin projection operator correlation function \=\left\langle \left \left \right\rangle \) for the bipartite singlet state, and show it to be amenable to an unequivocal probabilistic reading. In particular, the calculation of \\) entails a partitioning of the probability space, which is dependent on the directions \.\) The derivation of the CHSH- or other Bell-type inequalities, on the other hand, does not consider such partitioning. This observation puts into question the applicability of Bell-type inequalities to the bipartite singlet spin state.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 90,593

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

A Probabilistic Model of Spin and Spin Measurements.Arend Niehaus - 2016 - Foundations of Physics 46 (1):3-13.
Bell’s Correlations and Spin Systems.Martin Bohata & Jan Hamhalter - 2010 - Foundations of Physics 40 (8):1065-1075.
Philosophical Implications of Bell's Theorem.Niall Shanks - 1987 - Dissertation, University of Alberta (Canada)
Spin as a Determinable.Johanna Wolff - 2015 - Topoi 34 (2):379-386.
Spin State Determination Using a Stern-Gerlach Device.M. I. Shirokov - 1998 - Foundations of Physics 28 (6):985-997.
Spin quasi-distribution functions.M. O. Scully & K. Wódkiewicz - 1994 - Foundations of Physics 24 (1):85-107.
About a Generalization of Bell's Inequality.V. M. González-Robles - 2003 - Foundations of Physics 33 (5):839-853.

Analytics

Added to PP
2019-11-21

Downloads
12 (#929,405)

6 months
5 (#246,492)

Historical graph of downloads
How can I increase my downloads?