Geodesic
Bogolyubov transformation in the theory of strong coupling of a heavy particle to a scalar field
Teoretičeskaâ i matematičeskaâ fizika, Tome 32 (1977) no. 2, pp. 262-270 
L. I. Komarov; E. V. Krylov; Nguyen Fyog Lun; I. D. Feranchuk. Bogolyubov transformation in the theory of strong coupling of a heavy particle to a scalar field. Teoretičeskaâ i matematičeskaâ fizika, Tome 32 (1977) no. 2, pp. 262-270. http://geodesic.mathdoc.fr/item/TMF_1977_32_2_a8/
@article{TMF_1977_32_2_a8,
     author = {L. I. Komarov and E. V. Krylov and Nguyen Fyog Lun and I. D. Feranchuk},
     title = {Bogolyubov transformation in the theory of strong coupling of a~heavy particle to a~scalar field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {262--270},
     year = {1977},
     volume = {32},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1977_32_2_a8/}
}
TY  - JOUR
AU  - L. I. Komarov
AU  - E. V. Krylov
AU  - Nguyen Fyog Lun
AU  - I. D. Feranchuk
TI  - Bogolyubov transformation in the theory of strong coupling of a heavy particle to a scalar field
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1977
SP  - 262
EP  - 270
VL  - 32
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1977_32_2_a8/
LA  - ru
ID  - TMF_1977_32_2_a8
ER  - 
%0 Journal Article
%A L. I. Komarov
%A E. V. Krylov
%A Nguyen Fyog Lun
%A I. D. Feranchuk
%T Bogolyubov transformation in the theory of strong coupling of a heavy particle to a scalar field
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1977
%P 262-270
%V 32
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1977_32_2_a8/
%G ru
%F TMF_1977_32_2_a8

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

Problem of strong interaction of the nonrelativistic particle with scalar quantum: field is considered with the aid of N. N. Bogoliubov's transformation. Relation between the particle mass and the effective mass of the field can be arbitrary. The equations which determine the stationary state of the system are found in the first approximation.

[1] N. N. Bogolyubov, Ukr. matem. zh., 2 (1950), 3 | MR

[2] E. P. Solodovnikova, A. N. Tavkhelidze, O. A. Khrustalev, TMF, 10 (1972), 162

[3] E. P. Solodovnikova, A. N. Tavkhelidze, O. A. Khrustalev, TMF, 12 (1972), 164

[4] E. Khenli, V. Tirring, Elementarnaya kvantovaya teoriya polya, IL, 1963

[5] M. Van-Daik, Metody vozmuschenii v mekhanike zhidkosti, «Mir», 1967

[6] E. P. Solodovnikova, A. N. Tavkhelidze, TMF, 21 (1974), 13