Remarks on the Configuration Space Approach to Spin-Statistics

Details Remarks on the Configuration Space Approach to Spin-Statistics Remarks on the Configuration Space Approach to Spin-Statistics

2009-11-03

arxiv.org/abs/0911.0579v1

Found Phys (2010) 40: 1004-1029

Physics

Quantum Physics

18 pages

Scientific paper

10.1007/s10701-009-9397-3

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.

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