Geodesic
Semiclassical asymptotics for a radial Schrödinger equation with singular potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 98 (1994) no. 1, pp. 56-59 
P. N. Zhevandrov. Semiclassical asymptotics for a radial Schrödinger equation with singular potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 98 (1994) no. 1, pp. 56-59. http://geodesic.mathdoc.fr/item/TMF_1994_98_1_a5/
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     author = {P. N. Zhevandrov},
     title = {Semiclassical asymptotics for a~radial {Schr\"odinger} equation with singular potential},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {56--59},
     year = {1994},
     volume = {98},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_98_1_a5/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The quasiclassical asymptotic, corresponding to non-compact Lagrange manifolds, for the radial Schrödinger equation with a potential having singularity is found.

[1] Maslov V. P., Fedoryuk M. V., Kvaziklassicheskoe priblizhenie dlya uravnenii kvantovoi mekhaniki, Nauka, M., 1976 | MR

[2] Rikhtmaier R., Printsipy sovremennoi matematicheskoi fiziki, Mir, M., 1982 | MR

[3] Slavyanov S. Yu., Asimptotika reshenii odnomernogo uravneniya Shredingera, Izd-vo LGU, L., 1990 | MR

[4] Zhevandrov P., J. Fluid Mech., 233 (1991), 483 – 493 | DOI | MR | Zbl

[5] Chester C., Friedman B., Ursell F., Proc. Camb. Phil. Soc., 53 (1957), 599 – 611 | DOI | MR | Zbl