Benvenuti nell'Anagrafe della Ricerca d'Ateneo
La valutazione delle attività di ricerca che si svolgono nelle università ha assunto un'importanza rilevante sia per l'intero sistema universitario sia all'interno di ogni singolo ateneo. Roma Tre si è quindi dotata di idonei strumenti informativi in grado di supportare al meglio le azioni di monitoraggio e di valutazione delle attività di ricerca svolte nei propri dipartimentied ha realizzato una Anagrafe della Ricerca di Ateneo.
EnglishThe link between 3D spaces with (in general non-constant) curvature and quantum deformations is presented. It is shown, how the non-standard deformation of a sl(2) Poisson coalgebra generates a family of integrable Hamiltonians, that represent geodesic motions on 3D manifolds with a non-constant curvature, that turns out to be a function of the deformation parameter z. A different Hamiltonian defined on the same deformed coalgebra is also shown to generate a maximally superintegrable geodesic motion on 3D Riemannian and (2+1)D relativistic spaces whose sectional curvatures are all constant and equal to z. This approach can be generalized to arbitrary dimension.
Ballesteros A, Herranz FJ, & Ragnisco O (2005). Integrable geodesic motion on 3D curved spaces from non-standard quantum deformations RID F-2453-2010. CZECHOSLOVAK JOURNAL OF PHYSICS, 55(11), 1327-1333.
| Titolo: | Integrable geodesic motion on 3D curved spaces from non-standard quantum deformations RID F-2453-2010 |
| Autori: | |
| Data di pubblicazione: | 2005 |
| Rivista: | |
| Citazione: | Ballesteros A, Herranz FJ, & Ragnisco O (2005). Integrable geodesic motion on 3D curved spaces from non-standard quantum deformations RID F-2453-2010. CZECHOSLOVAK JOURNAL OF PHYSICS, 55(11), 1327-1333. |
| Abstract: | The link between 3D spaces with (in general non-constant) curvature and quantum deformations is presented. It is shown, how the non-standard deformation of a sl(2) Poisson coalgebra generates a family of integrable Hamiltonians, that represent geodesic motions on 3D manifolds with a non-constant curvature, that turns out to be a function of the deformation parameter z. A different Hamiltonian defined on the same deformed coalgebra is also shown to generate a maximally superintegrable geodesic motion on 3D Riemannian and (2+1)D relativistic spaces whose sectional curvatures are all constant and equal to z. This approach can be generalized to arbitrary dimension. |
| Handle: | http://hdl.handle.net/11590/138011 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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