A group-theoretic approach to constructions of non-relativistic spin-statistics

Jonathan M Harrison, JM Robbins

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

Abstract

We give a group-theoretical generalization of Berry and Robbins' treatment of identical particles with spin. The original construction, which leads to the correct spin-statistics relation, is seen to arise from particular irreducible representations - the totally symmetric representations - of the group SU(4). Here we calculate the exchange signs and corresponding statistics for all irreducible representations of SU(4).

Original languageEnglish
Title of host publicationSPIN-STATISTICS CONNECTION AND COMMUTATION RELATIONS
EditorsRC Hilborn, GM Tino
Place of PublicationMELVILLE
PublisherAmerican Institute of Physics (AIP)
Pages67-71
Number of pages5
ISBN (Print)1-56396-974-2
Publication statusPublished - 2000
EventConference on Spin-Statistics Connection and Commutation Relations - ANACAPRI, Italy
Duration: 31 May 20003 Jun 2000

Publication series

NameAIP CONFERENCE PROCEEDINGS
PublisherAMER INST PHYSICS
Volume545
ISSN (Print)0094-243X

Conference

ConferenceConference on Spin-Statistics Connection and Commutation Relations
CountryItaly
Period31/05/003/06/00

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