SO(2,1) LIE-ALGEBRA AND THE GREEN-FUNCTIONS FOR THE CONDITIONALLY EXACTLY SOLVABLE POTENTIALS

Authors
DUTRA AD BOSCHIFILHO H
Citation
Ad. Dutra et H. Boschifilho, SO(2,1) LIE-ALGEBRA AND THE GREEN-FUNCTIONS FOR THE CONDITIONALLY EXACTLY SOLVABLE POTENTIALS, Physical review. A, 50(4), 1994, pp. 2915-2920
Citations number
37
Categorie Soggetti
Physics
Journal title
Physical review. A → ACNP
ISSN journal
10502947
Volume
50
Issue
4
Year of publication
1994
Pages
2915 - 2920
Database
ISI
SICI code
1050-2947(1994)50:4<2915:SLATGF>2.0.ZU;2-T
Abstract
The Green's functions of the recently discovered conditionally exactly solvable potentials are computed. This is done through the use of a s econd-order differential realization of the so(2,1) Lie algebra. So we present the dynamical symmetry underlying the solvability of such pot entials and show that they belong to a general class of solvable and p artially solvable potentials.