The spin-1/2 Calogero-Gaudin system and its q-deformation

Citation
F. Musso et O. Ragnisco, The spin-1/2 Calogero-Gaudin system and its q-deformation, J PHYS A, 34(12), 2001, pp. 2625-2635
Citations number
13
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
34
Issue
12
Year of publication
2001
Pages
2625 - 2635
Database
ISI
SICI code
0305-4470(20010330)34:12<2625:TSCSAI>2.0.ZU;2-2
Abstract
The spin-1/2 Calogero-Gaudin system and its q-deformation are exactly solve d: a complete set of commuting observables is diagonalized, and the corresp onding eigenvectors and eigenvalues are explicitly calculated. The method o f solution is purely algebraic and relies on the co-algebra symmetry of the model.