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Remarks on the configuration space approach to spin-statistics. (English) Zbl 1197.81153

Summary: 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 of 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.

MSC:

81S10 Geometry and quantization, symplectic methods
81S05 Commutation relations and statistics as related to quantum mechanics (general)
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