T. Levitina et Ej. Brandas, PERTURBED ELLIPSOIDAL WAVE-FUNCTIONS FOR QUANTUM SCATTERING, International journal of quantum chemistry, 70(4-5), 1998, pp. 1017-1022
The scattering data of a potential, separable in ellipsoidal coordinat
es, are expanded in perturbed Lame wave functions. These functions ari
se when variables in the Schrodinger equation are separated in the ell
ipsoidal coordinate system. Preliminary calculations are displayed for
the total cross Section and the scattering amplitude versus direction
. The quicker the potential vanishes at infinity the more pronounced i
s the dependence on the incident direction. (C) 1998 John Wiley & Sons
, Inc.