Abstract

A project to measure quantum spin correlations for relativistic particles with mass is presented. It aims at testing spin observables in relativistic quantum mechanics. The measurement will be performed for pairs of entangled electrons originating from Moller scattering. A double Mott polarimeter, allowing for simultaneous measurement of the spin projections of both electrons, was designed for this purpose.

Highlights

  • 1.1 Review of spin correlationsAt the basis of the modern quantum mechanics and the quantum information theory lies the famous paper of Einstein, Podolsky and Rosen (EPR) [1] published in 1935

  • A project to measure quantum spin correlations for relativistic particles with mass is presented. It aims at testing spin observables in relativistic quantum mechanics

  • The measurement will be performed for pairs of entangled electrons originating from Møller scattering

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Summary

Review of spin correlations

At the basis of the modern quantum mechanics and the quantum information theory lies the famous paper of Einstein, Podolsky and Rosen (EPR) [1] published in 1935. The correlation functions and the degree of violation of the Bell-type inequalities are different for different choices of the relativistic spin projection operator, but their qualitative behaviour is similar. The correlation functions were calculated for states which are not Lorentz scalars, for two different choices of relativistic spin projection operators In both cases there existed configurations for which the functions had local extrema. In view of the above, we have undertaken a task of measuring the Einstein-Podolsky-Rosen (EPR) spin correlations for electron pairs originating from the Møller scattering in the relativistic regime, which is already achieved for MeV-energy electrons This is the first project addressing the issue of quantum spin correlations of relativistic massive fermions

Spin correlations in Møller scattering – theory
Preliminaries
Mott scattering
Double Mott polarimetry
Derivation of results
It is built of the following parts:
The beam
Summary and conclusions
Full Text
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