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Remarks on the Configuration Space Approach to Spin-Statistics

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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.

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Author notes

  1. Carlos Benavides

    Present address: Fondo Nacional de Garantías, Calle 26 B No. 13-97, Torre B, Piso 25, Bogotá, D.C., Colombia

Authors and Affiliations

  1. Departamento de Física, Universidad de los Andes, A.A. 4976, Bogotá, D.C., Colombia

    Andrés F. Reyes-Lega & Carlos Benavides

Authors
  1. Andrés F. Reyes-Lega
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  2. Carlos Benavides
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Corresponding author

Correspondence to Andrés F. Reyes-Lega.

Additional information

Financial support from Universidad de los Andes and from Colciencias-DAAD, through Procol contract no. 373-2007, are gratefully acknowledged.

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Reyes-Lega, A.F., Benavides, C. Remarks on the Configuration Space Approach to Spin-Statistics. Found Phys 40, 1004–1029 (2010). https://doi.org/10.1007/s10701-009-9397-3

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