The spin 1/2 Calogero-Gaudin System and its q-Deformation
arXiv:nlin/0009001 · doi:10.1088/0305-4470/34/12/309
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.
15 pages
References in corpus (5)
- A systematic construction of completely integrable Hamiltonians from coalgebras
- Generating function of correlators in the sl_2 Gaudin model
- Exact Solution of the Quantum Calogero-Gaudin System and of its q-Deformation
- N=2 Hamiltonians with sl(2) coalgebra symmetry and their integrable deformations
- Integrable deformations of Hamiltonian systems and q-symmetries
Cited by in corpus (9)
- (Super)integrability from coalgebra symmetry: formalism and applications
- Gaudin Models and Bending Flows: a Geometrical Point of View
- Comodule algebras and integrable systems
- Classical Dynamical Systems from q-algebras:"cluster" variables and explicit solutions
- Superintegrable Deformations of the Smorodinsky-Winternitz Hamiltonian
- Gaudin models with ${\CU}_q(\mathfrak{osp}(1 | 2))$ symmetry
- Quantum group deformation of the Kittel--Shore model
- Exact solution of a supersymmetric Gaudin model
- Many-body localization in large-N conformal mechanics