Two-body homogeneous rational Gaudin models and the missing label problem
Abstract
For the N = 2 rational Gaudin Hamiltonians based on \mathfrak {sl}(3), it is shown that the spectral invariants of the Lax matrix correspond to linear combinations of the labelling operators associated with the embedding of Lie algebras \mathfrak {sl}(3)\subset \mathfrak {sl}(3)\oplus \mathfrak {sl}(3). The diagonalized spectral invariants are applied to the degeneracy separation in the Clebsch-Gordan series of \mathfrak {sl}(3).
- Publication:
-
Journal of Physics A Mathematical General
- Pub Date:
- August 2013
- DOI:
- 10.1088/1751-8113/46/33/335201
- Bibcode:
- 2013JPhA...46G5201C