| dc.creator | da Rocha, R | |
| dc.creator | de Oliveira, EC | |
| dc.date | 2005 | |
| dc.date | FEB | |
| dc.date | 2014-11-15T04:01:43Z | |
| dc.date | 2015-11-26T17:35:57Z | |
| dc.date | 2014-11-15T04:01:43Z | |
| dc.date | 2015-11-26T17:35:57Z | |
| dc.date.accessioned | 2018-03-29T00:18:20Z | |
| dc.date.available | 2018-03-29T00:18:20Z | |
| dc.identifier | Revista Mexicana De Fisica. Sociedad Mexicana De Fisica, v. 51, n. 1, n. 1, n. 4, 2005. | |
| dc.identifier | 0035-001X | |
| dc.identifier | WOS:000227230200001 | |
| dc.identifier | http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/78108 | |
| dc.identifier | http://www.repositorio.unicamp.br/handle/REPOSIP/78108 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/78108 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1285762 | |
| dc.description | We present and discuss some features of the anti-de Sitter spacetime, that is jointly with de Sitter and Minkowski is only, the unique maximal isotropic manifold. Among all possible lorentzian manifolds, we restrict our attention to the anti-de Sitter (AdS) spacetime, with metric diag(1,- 1, - 1). We start by presenting the conformal time metric oil AdS and we then show how we can obtain the Schrodinger formalism [1]. The Lie algebra so(1,2) is introduced and used to construct spin and ladder operators. After presenting the unitary representations, the AdS(1,2) spacetime is suitably parametrized and a representation of SO(1,2) is obtained, from which the Schrodinger equation with Poschl-Teller potential is immediately deduced. Finally, we discuss some relations between the relativistic harmonic oscillator and the Klein-Gordon equation, using the AdS(1,2) static frame. Possible applications of the presented formalism are provided. | |
| dc.description | 51 | |
| dc.description | 1 | |
| dc.description | 1 | |
| dc.description | 4 | |
| dc.language | en | |
| dc.publisher | Sociedad Mexicana De Fisica | |
| dc.publisher | Coyoacan | |
| dc.publisher | México | |
| dc.relation | Revista Mexicana De Fisica | |
| dc.relation | Rev. Mex. Fis. | |
| dc.rights | aberto | |
| dc.source | Web of Science | |
| dc.subject | Schrodinger equation | |
| dc.subject | Poschl-Teller potential | |
| dc.subject | Casimir | |
| dc.subject | spin and ladder operators | |
| dc.subject | Cartan form | |
| dc.subject | unitary representations | |
| dc.subject | anti-de Sitter spacetime | |
| dc.subject | hyperbolical coordinates | |
| dc.subject | quantum mechanics | |
| dc.subject | Relativity | |
| dc.title | The Casimir operator of SO(1,2) and the Poschl-Teller potential: an AdS approach | |
| dc.type | Artículos de revistas | |
