Geodesic
Bogolyubov's operator $S(g)$ for some two-dimensional models of quantum field theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 27 (1976) no. 3, pp. 288-296 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The technique of quadratic forms is used to construct Bogolyubov's operator $S(g)$ for some two-dimensional models of quantum field theory. The properties of the operator are studied. 
@article{TMF_1976_27_3_a1,
     author = {I. D. Chueshov},
     title = {Bogolyubov's operator $S(g)$ for some two-dimensional models of quantum field theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {288--296},
     year = {1976},
     volume = {27},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1976_27_3_a1/}
}
TY  - JOUR
AU  - I. D. Chueshov
TI  - Bogolyubov's operator $S(g)$ for some two-dimensional models of quantum field theory
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1976
SP  - 288
EP  - 296
VL  - 27
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1976_27_3_a1/
LA  - ru
ID  - TMF_1976_27_3_a1
ER  - 
%0 Journal Article
%A I. D. Chueshov
%T Bogolyubov's operator $S(g)$ for some two-dimensional models of quantum field theory
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1976
%P 288-296
%V 27
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1976_27_3_a1/
%G ru
%F TMF_1976_27_3_a1
I. D. Chueshov. Bogolyubov's operator $S(g)$ for some two-dimensional models of quantum field theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 27 (1976) no. 3, pp. 288-296. http://geodesic.mathdoc.fr/item/TMF_1976_27_3_a1/

[1] J. Glimm, A. Jaffe, Phys. Rev., 176 (1968), 1945 | DOI | MR | Zbl

[2] J. Glimm, A. Jaffe, Ann. Phys., 60 (1970), 321 | DOI | MR | Zbl

[3] L. Rosen, Commun. Pure Appl. Math., 24 (1971), 417 | DOI | MR

[4] V. F. Vreschinski, TMF, 11 (1972), 331

[5] Yu. A. Semenov, Preprint ITP-72-156E, Kiev, 1972

[6] I. D. Chueshov, Preprint ITF-74-154R, Kiev, 1974

[7] T. Kato, Teoriya vozmuschenii lineinykh operatorov, «Mir», 1972 | MR | Zbl

[8] Zh.-L. Lions, E. Madzhenes, Neodnorodnye granichnye zadachi i ikh prilozheniya, «Mir», 1971 | MR | Zbl

[9] S. S. Ivanov, D. Ya. Petrina, A. L. Rebenko, TMF, 19 (1974), 37

[10] Yu. M. Berezanskii, Razlozhenie po sobstvennym funktsiyam samosopryazhennykh operatorov, «Naukova dumka», 1965 | MR

[11] B. Simon, R. Hoegh-Krohn, J. Funct. Anal., 9 (1972), 121 | DOI | MR | Zbl

[12] R. Hoegh-Krohn, Commun. Math. Phys., 21 (1971), 244 | DOI | MR

[13] J. Glimm, A. Jaffe, Statistical Mechanics and QFT, Les Houches Lecture 1970, Gordon and Breach, 1971 | MR | Zbl