vix.ing · top · new · best · stats · spec

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

2009/10/09 by Nikolaos Papadopoulos, A. F. Reyes-Lega, N. A. Papadopoulos +1
Mathematics · Physics and Astronomy · #Mathematical Analysis and Transform Methods #Quantum Mechanics and Applications #Statistical Mechanics and Entropy #math-ph #math.MP #msc:81Q70 #msc:81S05

paper · pdf · doi:10.1007/s10701-009-9365-y

published as Found Phys (2010) 40: 829-851 · 17 pages, submitted to Foundations of Physics

arxiv created 2009/10/09 · openalex publication_date 2009/11/03 · arxiv updated 2010/06/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations