Bibliographic Details
| Title: |
Two-body homogeneous rational Gaudin models and the missing label problem. |
| Authors: |
Campoamor-Stursberg, R.1 rutwig@ucm.es, Musso, F.2 musso@fis.uniroma3.it |
| Source: |
Journal of Physics A: Mathematical & Theoretical. 2013, Vol. 46 Issue 33, p1-13. 13p. |
| Subjects: |
Two-body problem (Physics), Hamilton's equations, Clebsch-Gordan coefficients, Degenerate perturbation theory, Lie algebras |
| Abstract: |
For the N = 2 rational Gaudin Hamiltonians based on 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 sl(3) ⊂ sl(3) ⊕ sl(3). The diagonalized spectral invariants are applied to the degeneracy separation in the Clebsch-Gordan series of sl(3). [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
