Geodesic
Generalized Hamiltonian formulation of a strictly localizable Lagrangian field theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 2, pp. 213-223 
M. A. Kasymzhanov; L. Sh. Khodzhaev. Generalized Hamiltonian formulation of a strictly localizable Lagrangian field theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 2, pp. 213-223. http://geodesic.mathdoc.fr/item/TMF_1973_16_2_a6/
@article{TMF_1973_16_2_a6,
     author = {M. A. Kasymzhanov and L. Sh. Khodzhaev},
     title = {Generalized {Hamiltonian} formulation of a strictly localizable {Lagrangian} field theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {213--223},
     year = {1973},
     volume = {16},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1973_16_2_a6/}
}
TY  - JOUR
AU  - M. A. Kasymzhanov
AU  - L. Sh. Khodzhaev
TI  - Generalized Hamiltonian formulation of a strictly localizable Lagrangian field theory
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1973
SP  - 213
EP  - 223
VL  - 16
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1973_16_2_a6/
LA  - ru
ID  - TMF_1973_16_2_a6
ER  - 
%0 Journal Article
%A M. A. Kasymzhanov
%A L. Sh. Khodzhaev
%T Generalized Hamiltonian formulation of a strictly localizable Lagrangian field theory
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1973
%P 213-223
%V 16
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1973_16_2_a6/
%G ru
%F TMF_1973_16_2_a6

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

Basic axioms are formulated in terms of the properties of the coefficient functions of the generalized Bogolyubov–Shirkov HamHtonian. An advanced representation is given for these coefficient functions. The $S$ matrix is introduced into the dynamics of the theory through the generalized Bogolyubov–Shirkov Hamiltonian and the main properties of the $S$ matrix are established.

[1] L. Tomonaga, Progr. Theor. Phys., 1 (1946), 27 ; J. Schwinger, Phys. Rev., 74 (1948), 1439 | DOI | MR | Zbl | DOI | MR | Zbl

[2] N. N. Bogolyubov, D. V. Shirkov, Vvedenie v teoriyu kvantovannykh polei, Gostekhizdat, 1957 ; Н. Н. Боголюбов, ДАН СССР, 81, 757 ; (1951), 1015 ; ДАН СССР, 82 (1952), 217 ; Изв. АН СССР, сер. физ., 19 (1955), 237 | MR | MR | Zbl | MR | Zbl | MR | Zbl | Zbl

[3] N. N. Bogoliubov, O. S. Parasiuk, Acta Math., 97 (1957), 227 ; K. Hepp, Commun. Math. Phys., 2 (1966), 301 | DOI | MR | DOI | Zbl

[4] A. M. Jaffe, Phys. Rev., 158 (1967), 1454 ; Phys. Rev. Lett., 17 (1966), 661 ; Preprint SLAC-FUB-250, 1967 ; Н. Н. Мейман, ЖЭТФ, 47 (1964), 1966 ; Г. В. Ефимов, Препринт ИТФ-68-52, 1968; И. М. Гельфанд, Г. Е. Шилов, Обобщенные функции, т. 1, Физматгиз, 1959; Л. Шварц, Математические методы для физических наук, «Мир», 1965 | DOI | DOI | MR | MR | MR

[5] H. Lehmann, K. Pohlmeyer, DESY preprint, DESY 70/26

[6] A. I. Akhiezer, V. B. Berestetskii, Kvantovaya elektrodinamika, Fizmatgiz, 1959 | MR

[7] D. A. Kirzhnits, ZhETF, 41 (1961), 551 | Zbl

[8] D. A. Kirzhnits, ZhETF, 45 (1963), 143 | MR