Berry, M. V.; Robbins, J. M. Indistinguishability for quantum particles: Spin, statistics and the geometric phase. (English) Zbl 0892.46084 Proc. R. Soc. Lond., Ser. A 453, No. 1963, 1771-1790 (1997). A complete understanding of the relation between spin and statistics in non-relativistic quantum mechanics is still lacking. Berry and Robbins argue that the Pauli sign, i.e. the phase factor \((-1)^{2s}\) accompanying the spin exchange for two identical particles with \(\text{spin }s\), as a geometric phase, is in fact of topological origin, associated with non-contractible loops in the doubly connected configuration space (obtained by identifying antipodes). It is shown that the present theory extends to an arbitrary number of identical particles. Reviewer: G.Roepstorff (Aachen) Cited in 8 ReviewsCited in 23 Documents MSC: 46N50 Applications of functional analysis in quantum physics 81P05 General and philosophical questions in quantum theory 81R05 Finite-dimensional groups and algebras motivated by physics and their representations Keywords:Pauli principle; geometric phase; spin and statistics; non-relativistic quantum mechanics; Pauli sign PDF BibTeX XML Cite \textit{M. V. Berry} and \textit{J. M. Robbins}, Proc. R. Soc. Lond., Ser. A 453, No. 1963, 1771--1790 (1997; Zbl 0892.46084) Full Text: DOI OpenURL