Distribution functions of a degenerate Fermi gas with allowance for pairing correlations
Teoretičeskaâ i matematičeskaâ fizika, Tome 35 (1978) no. 3, pp. 406-418
A. S. Tyapin. Distribution functions of a degenerate Fermi gas with allowance for pairing correlations. Teoretičeskaâ i matematičeskaâ fizika, Tome 35 (1978) no. 3, pp. 406-418. http://geodesic.mathdoc.fr/item/TMF_1978_35_3_a14/
@article{TMF_1978_35_3_a14,
     author = {A. S. Tyapin},
     title = {Distribution functions of a~degenerate {Fermi} gas with allowance for pairing correlations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {406--418},
     year = {1978},
     volume = {35},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1978_35_3_a14/}
}
TY  - JOUR
AU  - A. S. Tyapin
TI  - Distribution functions of a degenerate Fermi gas with allowance for pairing correlations
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1978
SP  - 406
EP  - 418
VL  - 35
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1978_35_3_a14/
LA  - ru
ID  - TMF_1978_35_3_a14
ER  - 
%0 Journal Article
%A A. S. Tyapin
%T Distribution functions of a degenerate Fermi gas with allowance for pairing correlations
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1978
%P 406-418
%V 35
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1978_35_3_a14/
%G ru
%F TMF_1978_35_3_a14

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

With the aim of generalizing the Thomas–Fermi statistical method to systems with pairing correlations of superconducting type in the framework of Hartree–Fock–Bogolyubov theory, the quasiclassical method to terms of order $\hbar^3$ inclusively is used to calculate the single-particle distribution function and the distribution function of the pairing correlations of a degenerate Fermi gas. In connection with the solution of this problem, a method of obtaining quasiclassical estimates of operator functions is developed; it is of independent interest and more general than the method of Kirzhnits.

[1] A. S. Kompaneets, E. S. Pavlovskii, ZhETF, 31 (1956), 427

[2] D. A. Kirzhnits, Polevye metody teorii mnogikh chastits, Atomizdat, 1963

[3] N. N. Bogolyubov, UFN, 67 (1959), 549 | DOI | MR