Geodesic
To Bogolubov's method in superconductivity
Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 1, pp. 129-141 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The Frohlich Hamiltonian with electron-boson interaction of the fourth degree in fermion operators is studied. The Hamiltonian takes into account the exchange interaction of electron magnetic moments of conductivity. The boson spectrum consists of normal modes of connected phonon-magnon oscillations. The system of equations describing the compensation of “dangerous” diagrams that correspond to birth from vacuum two (bivertexes) and four (tetravetrexes) electron excitements is obtained by using Bogolubov's method. The modification of bivertex compensation equation stimulated by four-fermion interactions leads to the possibility of increasing the constant of the electron-boson connection and the energetic split. The numerical investigation of this system of equations is carried out. Considerable increasing of the energetic split in comparison with the Frohlich model is revealed. 
@article{TMF_1996_107_1_a10,
     author = {E. R. Alaberdin and A. A. Vikhoreva and A. M. Savchenko and B. I. Sadovnikov},
     title = {To {Bogolubov's} method in superconductivity},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {129--141},
     year = {1996},
     volume = {107},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1996_107_1_a10/}
}
TY  - JOUR
AU  - E. R. Alaberdin
AU  - A. A. Vikhoreva
AU  - A. M. Savchenko
AU  - B. I. Sadovnikov
TI  - To Bogolubov's method in superconductivity
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1996
SP  - 129
EP  - 141
VL  - 107
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1996_107_1_a10/
LA  - ru
ID  - TMF_1996_107_1_a10
ER  - 
%0 Journal Article
%A E. R. Alaberdin
%A A. A. Vikhoreva
%A A. M. Savchenko
%A B. I. Sadovnikov
%T To Bogolubov's method in superconductivity
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1996
%P 129-141
%V 107
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1996_107_1_a10/
%G ru
%F TMF_1996_107_1_a10
E. R. Alaberdin; A. A. Vikhoreva; A. M. Savchenko; B. I. Sadovnikov. To Bogolubov's method in superconductivity. Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 1, pp. 129-141. http://geodesic.mathdoc.fr/item/TMF_1996_107_1_a10/

[1] Bogolyubov N. N., Izbrannye trudy v trekh tomakh, T. 3, Naukova dumka, Kiev, 1971, 11–38 | MR

[2] Bardin J., Cooper L. N., Schrieffer J. R., Phys. Rev., 106 (1957), 162 ; 108, 1175 | DOI | MR | DOI | MR

[3] Shafroth M. R., Butler S. T., Blutt J. M., Helv. Phys. Acta, 30 (1957), 93 | MR

[4] Frölich H., Phys. Rev., 79 (1950), 845 | DOI

[5] Savchenko M. A., Obzory po vysokotemperaturnoi sverkhprovodimosti, no. 1, MTsNTI, M., 1990 | MR

[6] Vikhorev A. A., Savchenko M. A., Sadovnikov B. I., Vestn. MGU, 35:3 (1994), 50–55

[7] Koppe H., Mühlschlegel B., Zs. Phys., 151 (1958), 613–629 | DOI | Zbl

[8] Bogolyubov N. N. (ml.), Sadovnikov B. I., Shumovskii A. S., Matematicheskie metody statisticheskoi mekhaniki modelnykh sistem, Nauka, M., 1989 | MR