Geodesic
Quasiclassical asymptotics of a point-source function for the stationary Schrödinger equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 1 (1969) no. 3, pp. 384-406 
V. V. Kucherenko. Quasiclassical asymptotics of a point-source function for the stationary Schrödinger equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 1 (1969) no. 3, pp. 384-406. http://geodesic.mathdoc.fr/item/TMF_1969_1_3_a8/
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     author = {V. V. Kucherenko},
     title = {Quasiclassical asymptotics of a~point-source function for the stationary {Schr\"odinger} equation},
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Voir la notice de l'article provenant de la source Math-Net.Ru

Formulas for the quasiclassical asymptotics of point-source (Green's) functions (uniform with respect to $x$) of the stationary Schrödinger equation are derived. Assuming that the system of Newton's equations in the potential field $V(x)$, where $V(x)$ is a smooth and rapidly diminishing function, has no finite orbits at the energy level $E$, a proof of the quasiclassical asymptotics for the point-source function is presented.

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