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On the Geometry of the Berry-Robbins Approach to Spin-Statistics

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Abstract

Within a geometric and algebraic framework, the structures which are related to the spin-statistics connection are discussed. A comparison with the Berry-Robbins approach is made. The underlying geometric structure constitutes an additional support for this approach. In our work, a geometric approach to quantum indistinguishability is introduced which allows the treatment of singlevaluedness of wave functions in a global, model independent way.

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Authors and Affiliations

  1. Institut für Physik THEP, University of Mainz, Mainz, Germany

    Nikolaos Papadopoulos

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

    Andrés F. Reyes-Lega

Authors
  1. Nikolaos Papadopoulos
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  2. Andrés F. Reyes-Lega
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Correspondence to Nikolaos Papadopoulos.

Additional information

A.F. Reyes-Lega gratefully acknowledges financial support from Universidad de los Andes and from Colciencias-DAAD, through Procol contract No. 373-2007.

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Papadopoulos, N., Reyes-Lega, A.F. On the Geometry of the Berry-Robbins Approach to Spin-Statistics. Found Phys 40, 829–851 (2010). https://doi.org/10.1007/s10701-009-9365-y

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  • DOI: https://doi.org/10.1007/s10701-009-9365-y

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