Geodesic
Eikonal approximation for fast-decreasing potentials. I
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 19, Tome 163 (1987), pp. 166-185 
D. R. Yafaev. Eikonal approximation for fast-decreasing potentials. I. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 19, Tome 163 (1987), pp. 166-185. http://geodesic.mathdoc.fr/item/ZNSL_1987_163_a14/
@article{ZNSL_1987_163_a14,
     author = {D. R. Yafaev},
     title = {Eikonal approximation for fast-decreasing {potentials.~I}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {166--185},
     year = {1987},
     volume = {163},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_163_a14/}
}
TY  - JOUR
AU  - D. R. Yafaev
TI  - Eikonal approximation for fast-decreasing potentials. I
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1987
SP  - 166
EP  - 185
VL  - 163
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1987_163_a14/
LA  - ru
ID  - ZNSL_1987_163_a14
ER  - 
%0 Journal Article
%A D. R. Yafaev
%T Eikonal approximation for fast-decreasing potentials. I
%J Zapiski Nauchnykh Seminarov POMI
%D 1987
%P 166-185
%V 163
%U http://geodesic.mathdoc.fr/item/ZNSL_1987_163_a14/
%G ru
%F ZNSL_1987_163_a14

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The Schrodinger equation with a potential $gq(x)$, decreasing quicker than any power of $|x|^{-1}$ at infinity, is considered at an energy $k^2$. The full asymptotic expansion of its wave function is constructed for $k\to\infty$, $g\leq Ck^{2-\gamma}$, $\gamma>0$. This expansion is used to derive the asymptotics of the forward scattering amplitude and of the total scattering cross-section.