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
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.