Symmetric coupling of four spin-1/2 systems
arXiv:1204.2615 · doi:10.1088/1751-8113/45/25/255301
Abstract
We address the non-binary coupling of identical angular momenta based upon the representation theory for the symmetric group. A correspondence is pointed out between the complete set of commuting operators and the reference-frame-free subsystems. We provide a detailed analysis of the coupling of three and four spin-1/2 systems and discuss a symmetric coupling of four spin-1/2 systems.
20 pages, no figures