Physics – Condensed Matter
Scientific paper
2001-05-31
Physics
Condensed Matter
8 pages, Latex file
Scientific paper
10.1142/S0217979202011573
We find operators distinguishing the degenerate states for the Hamiltonian $H= x(K+{1/2})S_z +{\bf K}\cdot {\bf S}$ at $x=\pm 1$ 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 $Y(sl(2))$.
Bai Cheng-Ming
Ge Mo-Lin
Xue Kang
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