Geodesic
Quasiclassical soliton solutions of the Hartree equation. Newtonian interaction with screening
Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 2, pp. 235-244 
M. V. Karasev; V. P. Maslov. Quasiclassical soliton solutions of the Hartree equation. Newtonian interaction with screening. Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 2, pp. 235-244. http://geodesic.mathdoc.fr/item/TMF_1979_40_2_a5/
@article{TMF_1979_40_2_a5,
     author = {M. V. Karasev and V. P. Maslov},
     title = {Quasiclassical soliton solutions of the {Hartree} equation. {Newtonian} interaction with screening},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {235--244},
     year = {1979},
     volume = {40},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1979_40_2_a5/}
}
TY  - JOUR
AU  - M. V. Karasev
AU  - V. P. Maslov
TI  - Quasiclassical soliton solutions of the Hartree equation. Newtonian interaction with screening
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1979
SP  - 235
EP  - 244
VL  - 40
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1979_40_2_a5/
LA  - ru
ID  - TMF_1979_40_2_a5
ER  - 
%0 Journal Article
%A M. V. Karasev
%A V. P. Maslov
%T Quasiclassical soliton solutions of the Hartree equation. Newtonian interaction with screening
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1979
%P 235-244
%V 40
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1979_40_2_a5/
%G ru
%F TMF_1979_40_2_a5

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

A quasiclassical series of eigenvalues and spherically symmetric eigenfunetions is constructed for the translationally invariant Hartree equation in the case of the Newtonian interaction with screening (Yukawa potential).

[1] E. H. Lieb, B. Simon, Commun. Math. Phys., 53 (1977), 185 | DOI | MR

[2] J. M. Chadam, R. T. Glassey, J. Math. Phys., 16 (1975), 1122 | DOI | MR | Zbl

[3] V. P. Maslov, Kompleksnye markovskie tsepi i kontinualnyi integral Feinmana, «Nauka», 1976 | MR

[4] V. P. Maslov, Sovremennye problemy matematiki, 11, VINITI, 1978, 153

[5] M. V. Karasev, V. P. Maslov, Sovremennye problemy matematiki, 13, VINITI, 1979, 145 | MR

[6] N. S. Zinchenko, Kurs lektsii po elektronnoi optike, KhGU, Kharkov, 1958

[7] V. P. Maslov, Teoriya vozmuschenii i asimptoticheskie metody, MGU, 1965 | MR

[8] L. V. Kantorovich, V. I. Krylov, Priblizhennye metody vysshego analiza, Fizmatgiz, 1962 | MR

[9] N. N. Bogolyubov, K. P. Gurov, ZhETF, 17 (1947), 714 | MR