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Frontiers of Physics

ISSN 2095-0462

ISSN 2095-0470(Online)

CN 11-5994/O4

Postal Subscription Code 80-965

2018 Impact Factor: 2.483

Front. Phys.    2017, Vol. 12 Issue (3) : 128503    https://doi.org/10.1007/s11467-017-0669-7
RESEARCH ARTICLE
Spin in the extended electron model
Thomas Pope(),Werner Hofer
School of Chemistry, Newcastle University, Newcastle NE1 7RU, UK
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Abstract

It has been found that a model of extended electrons is more suited to describe theoretical simulations and experimental results obtained via scanning tunnelling microscopes, but while the dynamic properties are easily incorporated, magnetic properties, and in particular electron spin properties pose a problem due to their conceived isotropy in the absence of measurement. The spin of an electron reacts with a magnetic field and thus has the properties of a vector. However, electron spin is also isotropic, suggesting that it does not have the properties of a vector. This central conflict in the description of an electron’s spin, we believe, is the root of many of the paradoxical properties measured and postulated for quantum spin particles. Exploiting a model in which the electron spin is described consistently in real three-dimensional space – an extended electron model – we demonstrate that spin may be described by a vector and still maintain its isotropy. In this framework, we re-evaluate the Stern–Gerlach experiments, the Einstein–Podolsky–Rosen experiments, and the effect of consecutive measurements and find in all cases a fairly intuitive explanation.

Keywords spin      extended electron model      geometric algebra      Stern–Gerlach experiment      Einstein–Podolsky–Rosen      magnetism     
Corresponding Author(s): Thomas Pope   
Issue Date: 13 April 2017
 Cite this article:   
Thomas Pope,Werner Hofer. Spin in the extended electron model[J]. Front. Phys. , 2017, 12(3): 128503.
 URL:  
https://academic.hep.com.cn/fop/EN/10.1007/s11467-017-0669-7
https://academic.hep.com.cn/fop/EN/Y2017/V12/I3/128503
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