Geodesic
Asymptotic solution of stationary nonlinear Hartree equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 30 (1977) no. 3, pp. 408-414 
I. V. Simenog. Asymptotic solution of stationary nonlinear Hartree equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 30 (1977) no. 3, pp. 408-414. http://geodesic.mathdoc.fr/item/TMF_1977_30_3_a11/
@article{TMF_1977_30_3_a11,
     author = {I. V. Simenog},
     title = {Asymptotic solution of stationary nonlinear {Hartree} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {408--414},
     year = {1977},
     volume = {30},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1977_30_3_a11/}
}
TY  - JOUR
AU  - I. V. Simenog
TI  - Asymptotic solution of stationary nonlinear Hartree equation
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1977
SP  - 408
EP  - 414
VL  - 30
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1977_30_3_a11/
LA  - ru
ID  - TMF_1977_30_3_a11
ER  - 
%0 Journal Article
%A I. V. Simenog
%T Asymptotic solution of stationary nonlinear Hartree equation
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1977
%P 408-414
%V 30
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1977_30_3_a11/
%G ru
%F TMF_1977_30_3_a11

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

Solution of nonlinear Hartree equation in the asymptotical limit of strong coupling is obtained for the case of attractive potentials of the Gaussian form. Absence of solutions of the Hartree equation with zero energy in three-dimensional space is demonstrated.

[1] I. V. Simenog, TMF, 15 (1973), 266 ; ТМФ, 20 (1974), 235 | MR

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

[3] V. E. Zakharov, A. B. Shabat, ZhETF, 61 (1971), 118; A. S. Davydov, N. I. Kislukha, Phys. Stat. Sol., (b), 59 (1973), 465 ; И. А. Кунин, Теория упругих сред с микроструктурой, «Наука», 1975 ; Д. Я. Петрина, В. З. Энольский, Препринт ИТФ-76-17Р, Киев, 1976 ; П. П. Кулиш, С. В. Манаков, Л. Д. Фаддеев, ТМФ, 28 (1976), 38 | DOI | MR | Zbl | MR

[4] G. F. Filippov, V. I. Ovcharenko, YaF, 6 (1967), 1287; И. В. Сименог, УФЖ, 14 (1969), 184

[5] G. F. Filippov, Preprint ITF-67-46, Kiev, 1967