Bogolyubov transformation and quantization of solitons
Teoretičeskaâ i matematičeskaâ fizika, Tome 30 (1977) no. 1, pp. 18-27 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

N. N. Bogoliubov transformation is applied to the problem of quantization of an essentially nonlinear system in two-dimensional space-time. Connection of quantized field with the solutions of the classical equations of motion is demonstrated. One- and two-soliton cases are considered.
@article{TMF_1977_30_1_a3,
     author = {A. V. Razumov},
     title = {Bogolyubov transformation and quantization of~solitons},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {18--27},
     year = {1977},
     volume = {30},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1977_30_1_a3/}
}
TY  - JOUR
AU  - A. V. Razumov
TI  - Bogolyubov transformation and quantization of solitons
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1977
SP  - 18
EP  - 27
VL  - 30
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1977_30_1_a3/
LA  - ru
ID  - TMF_1977_30_1_a3
ER  - 
%0 Journal Article
%A A. V. Razumov
%T Bogolyubov transformation and quantization of solitons
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1977
%P 18-27
%V 30
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1977_30_1_a3/
%G ru
%F TMF_1977_30_1_a3
A. V. Razumov. Bogolyubov transformation and quantization of solitons. Teoretičeskaâ i matematičeskaâ fizika, Tome 30 (1977) no. 1, pp. 18-27. http://geodesic.mathdoc.fr/item/TMF_1977_30_1_a3/

[1] R. Rajeraman, Phys. Rev., 21C (1975), 229

[2] E. Tomboulis, Phys. Rev., 12D (1975), 1679

[3] N. N. Bogolyubov, UMZh, 2 (1950), 3 ; Избранные труды, т. 2, «Наукова думка», Киев, 1970 | MR | MR | Zbl

[4] E. P. Solodovnikova, A. N. Tavkhelidze, O. A. Khrustalev, TMF, 11 (1972), 317

[5] A. V. Razumov, O. A. Khrustalev, Preprint IFVE 76-21, Serpukhov, 1976 | Zbl

[6] E. P. Solodovnikova, A. N. Tavkhelidze, O. A. Khrustalev, TMF, 10 (1972), 162 ; 12 (1972), 164 ; Е. П. Солодовникова, А. Н. Тавхелидзе, ТМФ, 21 (1974), 13 ; А. А. Архипов, Н. Е. Тюрин, ТМФ, 17 (1973), 57 ; А. В. Шургая, ТМФ, 28 (1976), 223

[7] V. E. Zakharov, L. A. Takhtadzhyan, L. D. Faddeev, DAN SSSR, 219 (1974), 1334 | Zbl

[8] A. K. Pogrebkov, V. N. Sushko, TMF, 24 (1975), 425

[9] R. Dashen, B. Hasslacher, A. Neveu, Phys. Rev., 10D (1975), 4114 | MR