A method of calculation of self-consistent atomic potentials for a multicomponent mixture in the relativistic Hartree–Fock–Slater approximation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 37 (1997) no. 1, pp. 107-116 Cet article a éte moissonné depuis la source Math-Net.Ru

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V. G. Novikov. A method of calculation of self-consistent atomic potentials for a multicomponent mixture in the relativistic Hartree–Fock–Slater approximation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 37 (1997) no. 1, pp. 107-116. http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_1_a11/

[1] Feynman R., Metropolis N., Teller E., “Equations of state of elements based on the generalized Fermi–Thomas theory”, Phys. Rev., 75:10 (1949), 1561–1573 | DOI | MR | Zbl

[2] Letter R., “Temperature behavior of the Thomas–Fermi statistical model for atoms”, Phys. Rev., 99:6 (1955), 1854–1870 | DOI

[3] Rozsnyai B. F., “Relativistic Hartree–Fock–Slater calculations for arbitrary temperature and matter density”, Phys. Rev. A, 5:3 (1972), 1137–1149 | DOI

[4] Nikiforov A. F., Novikov V. G., Uvarov V. B., “Modifitsirovannaya model Khartri–Foka–Sleitera dlya veschestva s zadannoi temperaturoi i plotnostyu”, Vopr. atomnoi nauki i tekhn. Ser. metodiki i programmy chisl. resheniya zadach matem. fiz., 1979, no. 4(6), 16–26

[5] Novikov V. G., Orlov N. Yu., Nekotorye metody rascheta svoistv veschestva v teplofizicheskikh ustanovkakh, TsNIIatominform, M., 1984

[6] Novikov V. G., “Uchet individualnykh sostoyanii ionov v modifitsirovannoi modeli Khartri–Foka–Sletera”, Teplofiz. vysokikh t-r, 30:4 (1992), 701–708

[7] Nikiforov A. F., Uvarov V. B., “Vychislenie potentsiala Tomasa–Fermi dlya smesi veschestv”, Zh. vychisl. matem. i matem. fiz., 9:3 (1969), 715–720

[8] Nikiforov A. F., Novikov V. G., Uvarov V. B., “Reshenie uravnenii Tomasa–Fermi dlya smesi veschestv metodom progonki s iteratsiyami”, Vopr. atomnoi nauki i tekhn. Ser. metodiki i programmy chisl. resheniya zadach matem. fiz., 1979, no. 1(9), 16–26 | MR

[9] Orlov N. Yu., “Metod rascheta samosoglasovannykh potentsialov dlya smesi khimicheskikh elementov”, Zh. vychisl. matem. i matem. fiz., 26:8 (1986), 1215–1222

[10] Orlov N. Yu., “Kvantovo-statisticheskii raschet svoistv smesi khimicheskikh elementov s uchetom fluktuatsii chisel zapolneniya elektronnykh sostoyanii”, Zh. vychisl. matem. i matem. fiz., 27:7 (1987), 1058–1067 | MR

[11] Uvarov V. B., Aldonyasov V. I., “Fazovyi metod opredeleniya sobstvennykh znachenii dlya uravnenii Shredingera”, Zh. vychisl. matem. i matem. fiz., 7:2 (1967), 436–440 | MR | Zbl

[12] Grant I. P., “Relativistic calculation of atomic structures”, Advanc. Phys., 19 (1970), 747–811 | DOI

[13] Orlov N. Yu., “Fazovyi metod opredeleniya sobstvennykh znachenii dlya uravneniya Diraka”, Differents. ur-niya, 20:7 (1984), 1253–1258 | MR | Zbl

[14] Nikiforov A. F., Uvarov V. B., “Opisanie sostoyaniya veschestva v oblasti vysokikh temperatur na osnove uravnenii samosoglasovannogo polya”, Chisl. metody mekhan. sploshnoi sredy, 4, VTs SO AN SSSR, Novosibirsk, 1973, 114–119

[15] Novikov V. G., Modeli samosoglasovannogo polya s kvaziklassicheskim priblizheniem, Preprint No 69, IPMatem. AN SSSR, M., 1982, 19 pp.

[16] Nikiforov A. F., Novikov V. G., Uvarov V. B., “Ispolzovanie kvaziklassicheskogo priblizheniya v modifitsirovannoi modeli Khartri–Foka–Sletera”, Teplofiz. vysokikh t-r, 25:1 (1987), 12–21

[17] Khartri D. R., Raschety atomnykh struktur, Izd-vo inostr. lit., M., 1960