Geodesic
Distribution functions of a degenerate Fermi gas with allowance for pairing correlations
Teoretičeskaâ i matematičeskaâ fizika, Tome 35 (1978) no. 3, pp. 406-418 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@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/}
}
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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/

[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