Remarks on the Configuration Space Approach to Spin-Statistics

Author: Reyes-Lega Andrés   Benavides Carlos  

Publisher: Springer Publishing Company

ISSN: 0015-9018

Source: Foundations of Physics, Vol.40, Iss.7, 2010-07, pp. : 1004-1029

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Abstract

The angular momentum operators for a system of two spin-zero indistinguishable particles are constructed, using Isham’s Canonical Group Quantization method. This mathematically rigorous method provides a hint at the correct definition of (total) angular momentum operators, for arbitrary spin, in a system of indistinguishable particles. The connection with other configuration space approaches to spin-statistics is discussed, as well as the relevance of the obtained results in view of a possible alternative proof of the spin-statistics theorem.