English

The spin 1/2 Calogero-Gaudin System and its q-Deformation

Exactly Solvable and Integrable Systems 2009-10-31 v1

Abstract

The spin 1/2 Calogero-Gaudin system and its q-deformation are exactly solved: a complete set of commuting observables is diagonalized, and the corresponding eigenvectors and eigenvalues are explicitly calculated. The method of solution is purely algebraic and relies on the co-algebra simmetry of the model.

Keywords

Cite

@article{arxiv.nlin/0009001,
  title  = {The spin 1/2 Calogero-Gaudin System and its q-Deformation},
  author = {F. Musso and O. Ragnisco},
  journal= {arXiv preprint arXiv:nlin/0009001},
  year   = {2009}
}

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15 pages