Geodesic
Asymptotically exact solutions for Fermi systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 20 (1974) no. 2, pp. 235-249 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A study is made of Fermi systems with many particles $N$ for binary particle-particle potentials that lead to contracted systems. A detailed proof is given of the fact [1] that in such systems the Hartree and Thomas–Fermi approximation is asymptotically exactly realized. 
@article{TMF_1974_20_2_a9,
     author = {I. V. Simenog},
     title = {Asymptotically exact solutions for {Fermi} systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {235--249},
     year = {1974},
     volume = {20},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1974_20_2_a9/}
}
TY  - JOUR
AU  - I. V. Simenog
TI  - Asymptotically exact solutions for Fermi systems
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1974
SP  - 235
EP  - 249
VL  - 20
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1974_20_2_a9/
LA  - ru
ID  - TMF_1974_20_2_a9
ER  - 
%0 Journal Article
%A I. V. Simenog
%T Asymptotically exact solutions for Fermi systems
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1974
%P 235-249
%V 20
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1974_20_2_a9/
%G ru
%F TMF_1974_20_2_a9
I. V. Simenog. Asymptotically exact solutions for Fermi systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 20 (1974) no. 2, pp. 235-249. http://geodesic.mathdoc.fr/item/TMF_1974_20_2_a9/

[1] I. V. Simenog, UFZh, 17 (1972), 1929

[2] I. V. Simenog, TMF, 15 (1973), 266

[3] F. J. Dyson, J. Math. Phys., 8 (1967), 1538 | DOI | MR

[4] G. F. Filippov, Preprint ITF-67-46, Kiev, 1967

[5] L. G. Zastavenko, Preprint P2-5934, OIYaI, 1971 ; Препринт P2-6270, ОИЯИ, 1972; ТМФ, 15 (1973), 307 | MR

[6] P. Hertel, W. Thirring, Commun. Math. Phys., 24 (1972), 22 | DOI | MR

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

[8] D. A. Kirzhnits, ZhETF, 32 (1957), 115 ; Полевые методы теории многих частиц, Атомиздат, 1963 | Zbl

[9] G. Bete, Kvantovaya mekhanika, «Mir», 1965

[10] I. V. Simenog, YaF, 7 (1968), 992

[11] J. M. Levy-Leblond, J. Math. Phys., 10 (1969), 806 | DOI

[12] I. V. Simenog, YaF, 10 (1969), 281

[13] A. S. Davydov, Kvantovaya mekhanika, Fizmatgiz, 1963 | MR

[14] A. B. Migdal, V. P. Krainov, Priblizhennye metody kvantovoi mekhaniki, «Nauka», 1966 | Zbl

[15] G. F. Filippov, V. I. Ovcharenko, YaF, 6 (1967), 1287

[16] I. V. Simenog, UFZh, 13 (1969), 184

[17] V. I. Ovcharenko, I. V. Simenog, G. F. Filippov, Preprint ITF-70-100P, Kiev, 1970 ; G. F. Filippov, V. I. Ovcharenko, I. V. Simenog, Preprint ITP-71-74E, Kiev, 1971 | Zbl

[18] E. Ch. Titchmarsh, Razlozheniya po sobstvennym funktsiyam, svyazannye s differentsialnymi uravneniyami vtorogo poryadka, t. I, IL, 1961 | MR

[19] V. P. Maslov, Teoriya vozmuschenii i asimptoticheskie metody, Izd-vo MGU, 1965 | MR

[20] J. Goldstone, Proc. Roy. Soc., 239 (1957), 267 | DOI | MR | Zbl

[21] L. D. Landau, ZhETF, 35 (1958), 97

[22] A. B. Migdal, Teoriya konechnykh fermi-sistem i svoistva atomnykh yader, «Nauka», 1965

[23] A. G. Sitenko, I. V. Simenog, Nucl. Phys., 80 (1966), 643 | DOI

[24] V. Ya. Antonchenko, I. V. Simenog, Preprint ITP-73-74E, Kiev, 1973