The method of collective variables and the generalized Hamiltonian formalism
Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 1, pp. 46-53 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

N. N. Bogoliubov's transformations leading to the Lagrangian with constraints are considered in the framework of the generalised Hamiltonian theory due to Dirac. An expression for the $S$-matrix is derived using the path integrals over the phase space.
@article{TMF_1980_45_1_a3,
     author = {A. V. Shurgaya},
     title = {The method of~collective variables and the generalized {Hamiltonian} formalism},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {46--53},
     year = {1980},
     volume = {45},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1980_45_1_a3/}
}
TY  - JOUR
AU  - A. V. Shurgaya
TI  - The method of collective variables and the generalized Hamiltonian formalism
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1980
SP  - 46
EP  - 53
VL  - 45
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1980_45_1_a3/
LA  - ru
ID  - TMF_1980_45_1_a3
ER  - 
%0 Journal Article
%A A. V. Shurgaya
%T The method of collective variables and the generalized Hamiltonian formalism
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1980
%P 46-53
%V 45
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1980_45_1_a3/
%G ru
%F TMF_1980_45_1_a3
A. V. Shurgaya. The method of collective variables and the generalized Hamiltonian formalism. Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 1, pp. 46-53. http://geodesic.mathdoc.fr/item/TMF_1980_45_1_a3/

[1] N. N. Bogolyubov, UMZh, 2 (1950), 3 ; Избранные труды, т. 2, Киев, 1970 | MR | MR

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

[3] E. P. Solodovnikova, A. N. Tavkhelidze, O. A. Khrustalev, TMF, 10 (1972), 162 ; А. А. Архипов, Н. Е. Тюрин, ТМФ, 17 (1973), 57 ; С. В. Семенов, ТМФ, 18 (1974), 353 ; А. В. Шургая, ТМФ, 28 (1976), 223 ; А. В. Разумов, А. Ю. Таранов, Препринт ИФВЭ 77-68, Серпухов, 1977; А. В. Разумов, О. А. Хрусталев, ТМФ, 29 (1976), 300 | MR

[4] J. L. Gervais, B. Sakita, Phys. Rev., D11 (1975), 2943; J. L. Gervais, A. Jevicki, B. Sakita, Phys. Rev., D12 (1975), 1038; J. L. Gervais, A. Jevicki, B. Sakita, Phys. Rep., 23C (1976), 281 | DOI

[5] N. H. Christ, T. D. Lee, Phys. Rev., D12 (1975), 1606 | MR

[6] J. L. Gervais, B. Sakita, Nucl. Phys., B110 (1976), 93 | DOI | MR

[7] P. Dirak, Lektsii po kvantovoi mekhanike, «Mir», 1968

[8] E. Tomboulis, G. Woo, Ann. Phys. (N.Y.), 98 (1976), 1 | DOI

[9] L. D. Faddeev, TMF, 1 (1969), 3 | MR | Zbl

[10] L. P. Eizenkhart, Nepreryvnye gruppy preobrazovanii, IL, 1947