Geodesic
Quasiclassical asymptotics of a~point-source function for the stationary Schr\"odinger equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 1 (1969) no. 3, pp. 384-406

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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. 
@article{TMF_1969_1_3_a8,
     author = {V. V. Kucherenko},
     title = {Quasiclassical asymptotics of a~point-source function for the stationary {Schr\"odinger} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {384--406},
     publisher = {mathdoc},
     volume = {1},
     number = {3},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1969_1_3_a8/}
}
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V. V. Kucherenko. Quasiclassical asymptotics of a~point-source function for the stationary Schr\"odinger equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 1 (1969) no. 3, pp. 384-406. http://geodesic.mathdoc.fr/item/TMF_1969_1_3_a8/