HAPPER'S CURIOUS DEGENERACIES AND YANGIAN

CHENG-MING BAI, MO-LIN GE, KANG XUE
2002 International Journal of Modern Physics B  
We find raising and lowering operators distinguishing the degenerate states for the Hamiltonian H = x(K + 1 2 )Sz + K · S at x = ±1 for spin 1 that was given by Happer et al. 1, 2 to interpret the curious degeneracies of the Zeeman effect for condensed vapor of 87 Rb. The operators obey Yangian commutation relations. We show that the curious degeneracies seem to verify the Yangian algebraic structure for quantum tensor space and are consistent with the representation theory of Y (sl (2) ).
doi:10.1142/s0217979202011573 fatcat:ewwova2eindgxlhisqlcu4qhom