Complex su_q(2) Dynamical Symmetry, Limiting Cases and 1-Dimensional Potential Realisation
| dc.creator | Ludu, A. | |
| dc.creator | Scheid, W. | |
| dc.date | 1996-12-04 | |
| dc.date.accessioned | 2026-07-07T09:17:22Z | |
| dc.date.available | 2026-07-07T09:17:22Z | |
| dc.description | Using a complex deformation q=exp(is) of su(2) we obtain extensions of the finite-dimensional representations towards the infinite-dimensional ones. A generalised q-deformation of su(2), as a Hopf algebra is introduced. We present the corresponding Schrodinger picture, by using a differential realisation, and a large class of potentials is obtained.A connection between the unirreps with q a root of unity and the comensurability of the potentials is investigated. The smooth transition between su(2) and su(1,1) , through E(1) is obtained at different levels: of the unirreps, of the topology, of the commutators and of the potentials in the corresponding Schrodinger equation. | |
| dc.description | 37 pages, Latex, 8 figures, PACS: 03.65.Fd, 11.30.Na, Submitted J. Phys. A: Math. Gen | |
| dc.identifier | https://arxiv.org/abs/q-alg/9612007 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9612007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153642 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Nuclear Theory | |
| dc.title | Complex su_q(2) Dynamical Symmetry, Limiting Cases and 1-Dimensional Potential Realisation | |
| dc.type | text |