Geodesic
Construction of eigenfunctions of the discrete spectrum and principle for selecting eigenvalues for a radial Schrödinger operator with nearly Coulomb potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 3, pp. 379-392 
M. A. Shubova. Construction of eigenfunctions of the discrete spectrum and principle for selecting eigenvalues for a radial Schrödinger operator with nearly Coulomb potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 3, pp. 379-392. http://geodesic.mathdoc.fr/item/TMF_1988_76_3_a6/
@article{TMF_1988_76_3_a6,
     author = {M. A. Shubova},
     title = {Construction of eigenfunctions of the discrete spectrum and principle for selecting eigenvalues for a~radial {Schr\"odinger} operator with nearly {Coulomb} potential},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {379--392},
     year = {1988},
     volume = {76},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_76_3_a6/}
}
TY  - JOUR
AU  - M. A. Shubova
TI  - Construction of eigenfunctions of the discrete spectrum and principle for selecting eigenvalues for a radial Schrödinger operator with nearly Coulomb potential
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1988
SP  - 379
EP  - 392
VL  - 76
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1988_76_3_a6/
LA  - ru
ID  - TMF_1988_76_3_a6
ER  - 
%0 Journal Article
%A M. A. Shubova
%T Construction of eigenfunctions of the discrete spectrum and principle for selecting eigenvalues for a radial Schrödinger operator with nearly Coulomb potential
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1988
%P 379-392
%V 76
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1988_76_3_a6/
%G ru
%F TMF_1988_76_3_a6

Voir la notice de l'article provenant de la source Math-Net.Ru

The radial Schrödinger equation with Coulomb potential perturbed on a compact set is considered. Estimates for the regular and singular solutions and a principle for selecting the eigenvalues are proved.

[1] Hartree D. R., The Calculation of Atomic Structure, Wiley, New York, 1957 | MR | Zbl

[2] Osnovnye formuly fiziki, IIL, M., 1957

[3] Atomy v astrofizike, Mir, M., 1986

[4] Sakhnovich L. A., Izv. AN SSSR, ser. matem., 30:6 (1986), 1297–1310 | MR | Zbl

[5] Shubova M. A., Problemy mat. fiziki, 9, LGU, L., 1979, 145–179 | MR

[6] Shubova M. A., Tr. MIAN SSSR, 159, 1983, 175–189 | MR

[7] Shubova M. A., Tr. MIAN SSSR, 159, 1983, 190–209 | MR | Zbl

[8] Uitekker E. T., Vatson Dzh. N., Kurs sovremennogo analiza, Chast 2, Fizmatgiz, M., 1983

[9] Sleiter Lyusi Dzh., Vyrozhdennye gipergeometricheskie funktsii, VTs AN SSSR, M., 1986 | MR

[10] Spravochnik po spetsialnym funktsiyam, Nauka, M., 1979