On Conformal d'Alembert-Like Equations
de Oliveira, E. Capelas ; da Rocha, R.
arXiv, 0502011 / Harvested from arXiv
Using conformal coordinates associated with projective conformal relativity we obtain a conformal Klein-Gordon partial differential equation. As a particular case we present and discuss a conformal `radial' d'Alembert-like equation. As a by-product we show that this `radial' equation can be identified with a one-dimensional Schr\"odinger-like equation in which the potential is exactly the second P\"oschl-Teller potential.
Publié le : 2005-02-02
Classification:  Mathematical Physics,  81Q05, 83C15, 83E15
@article{0502011,
     author = {de Oliveira, E. Capelas and da Rocha, R.},
     title = {On Conformal d'Alembert-Like Equations},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0502011}
}
de Oliveira, E. Capelas; da Rocha, R. On Conformal d'Alembert-Like Equations. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0502011/