In the Happer model under a rotating magnetic field, the Chern number of each non-degenerate level equals minus its conserved total angular momentum projection, and the 2L+1-fold degenerate point has non-abelian Chern number 1 for L=1,2 and, by cited exact solution, for all L.
The states labeled by n = 1, 2, 3, 4, 10, 11, 12, 13, 14, 15 are non-degenerate states, while the other statesn = 5, 6, 7, 8, 9 have degenerate energy level atx = 2 5
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Topological numbers of Happer model with "puzzling" degeneracy in periodic magnetic field
In the Happer model under a rotating magnetic field, the Chern number of each non-degenerate level equals minus its conserved total angular momentum projection, and the 2L+1-fold degenerate point has non-abelian Chern number 1 for L=1,2 and, by cited exact solution, for all L.