N=2 Hamiltonians with sl(2) coalgebra symmetry and their integrable deformations
| dc.creator | Ballesteros, A. | |
| dc.creator | Ragnisco, O. | |
| dc.date | 1999-10-18 | |
| dc.date.accessioned | 2026-07-07T06:17:54Z | |
| dc.date.available | 2026-07-07T06:17:54Z | |
| dc.description | Two dimensional classical integrable systems and different integrable deformations for them are derived from phase space realizations of classical $sl(2)$ Poisson coalgebras and their $q-$deformed analogues. Generalizations of Morse, oscillator and centrifugal potentials are obtained. The N=2 Calogero system is shown to be $sl(2)$ coalgebra invariant and the well-known Jordan-Schwinger realization can be also derived from a (non-coassociative) coproduct on $sl(2)$. The Gaudin Hamiltonian associated to such Jordan-Schwinger construction is presented. Through these examples, it can be clearly appreciated how the coalgebra symmetry of a hamiltonian system allows a straightforward construction of different integrable deformations for it. | |
| dc.description | 14 pages Latex | |
| dc.identifier | https://arxiv.org/abs/solv-int/9910009 | |
| dc.identifier | http://arxiv.org/abs/solv-int/9910009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94552 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | N=2 Hamiltonians with sl(2) coalgebra symmetry and their integrable deformations | |
| dc.type | text |