1204.2615 (Jun Suzuki et al.)

Symmetric coupling of four spin-1/2 systems    [PDF]

Jun Suzuki, Berthold-Georg Englert

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.

View original: http://arxiv.org/abs/1204.2615