Geodesic
Application of the spectral density method to systems with a pair interaction
Teoretičeskaâ i matematičeskaâ fizika, Tome 5 (1970) no. 3, pp. 417-438 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The method of spectral densities is formulated and the simplest approximations are found for systems of Fermi or Bose particles with a pair interaction. The method is illustrated by the solution of the Hubbard model and a model “pair Hamiltonian”. The spectrum of a system of interacting bosons is investigated in the simplest approximation. 
@article{TMF_1970_5_3_a8,
     author = {O. K. Kalashnikov and E. S. Fradkin},
     title = {Application of the spectral density method to systems with a~pair interaction},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {417--438},
     year = {1970},
     volume = {5},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1970_5_3_a8/}
}
TY  - JOUR
AU  - O. K. Kalashnikov
AU  - E. S. Fradkin
TI  - Application of the spectral density method to systems with a pair interaction
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1970
SP  - 417
EP  - 438
VL  - 5
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1970_5_3_a8/
LA  - ru
ID  - TMF_1970_5_3_a8
ER  - 
%0 Journal Article
%A O. K. Kalashnikov
%A E. S. Fradkin
%T Application of the spectral density method to systems with a pair interaction
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1970
%P 417-438
%V 5
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1970_5_3_a8/
%G ru
%F TMF_1970_5_3_a8
O. K. Kalashnikov; E. S. Fradkin. Application of the spectral density method to systems with a pair interaction. Teoretičeskaâ i matematičeskaâ fizika, Tome 5 (1970) no. 3, pp. 417-438. http://geodesic.mathdoc.fr/item/TMF_1970_5_3_a8/

[1] E. S. Fradkin, Nucl. Phys., 42 (1959), 455; ДАН СССР, 125, 66 ; (1959), 311 ; J. S. Schwinger, P. C. Martin, Phys. Rev., 115 (1959), 1342 ; Е. С. Фрадкин, Диссертация ИТЭФ, 1960 ; Тр. ФИАНа, 29, 1965; А. А. Абрикосов, Л. П. Горьков, И. Е. Дзялошинский, Методы квантовой теории поля в статистической физике, Физматгиз, 1962 | Zbl | MR | Zbl | DOI | MR | Zbl | Zbl | MR

[2] O. K. Kalashnikov, E. S. Fradkin, ZhETF, 55 (1968), 607

[3] R. A. Suris, FTT, 3 (1961), 1795 | MR | Zbl

[4] N. N. Bogolyubov, Izv. AN SSSR, ser. fiz., 11 (1947), 77 | MR

[5] S. T. Belyaev, ZhETF, 34 (1958), 417 ; 34 (1958), 433 ; N. M. Hugenholtz, D. Pines, Phys. Rev., 116 (1959), 489 | Zbl | MR | Zbl | DOI | MR | Zbl

[6] R. P. Feynman, M. Cohen, Phys. Rev., 102 (1956), 1189 | DOI | Zbl

[7] D. N. Zubarev, Yu. A. Tserkovnikov, DAN SSSR, 120 (1958), 991 ; C. Kuper, Adv. Phys., 8 (1959), 1 ; M. Luban, Phys. Rev., 128 (1962), 965 | MR | Zbl | DOI | Zbl | DOI | MR | Zbl

[8] J. Kanamori, Progr. Theor. Phys., 30 (1963), 275 ; M. C. Gutzwiller, Phys. Rev. Let., 10 (1963), 159 ; Phys. Rev., 134 (1964), A923 ; 137 (1965), A1726 ; Л. Н. Булаевский, Д. И. Хомский, ЖЭТФ, 52 (1967), 1603; ФТТ, 9 (1967), 3070 | DOI | Zbl | DOI | DOI | DOI | MR

[9] N. F. Mott, Proc. Phys. Soc., 62 (1949), 416 ; Phil. Mag., 6 (1961), 287 | DOI | DOI

[10] J. Hubbard, Proc. Roy. Soc. (London), A276 (1963), 238 ; 277 (1964), 237 ; 281 (1964), 401 | DOI | DOI | DOI

[11] L. M. Roth, Phys. Rev. Let., 20 (1968), 1431 | DOI