Artículos de revistas
The Casimir operator of SO(1,2) and the Poschl-Teller potential: an AdS approach
Registro en:
Revista Mexicana De Fisica. Sociedad Mexicana De Fisica, v. 51, n. 1, n. 1, n. 4, 2005.
0035-001X
WOS:000227230200001
Autor
da Rocha, R
de Oliveira, EC
Institución
Resumen
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. 51 1 1 4