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

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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. 
@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},
     publisher = {mathdoc},
     volume = {163},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_163_a14/}
}
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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/