Geodesic
First-order function for semirelativistic atomic equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 20 (1974) no. 2, pp. 282-287 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The first-order correction in the electron-electron interaction to the solation of the two-electron semirelativistic atomic equation is represented in, the form $$ \Psi^{(1)}(r_1,r_2)=\dfrac 12 S_k[\psi_k(r_1)\Phi_k(r_2)-\psi_k(r_2)\Phi_k(r_1)], $$ where $\psi_k(r)$ are solutions of the one-electron Dirac equation. Analytic expressions are obtained for $\Phi_k(r)$ that are convenient for calculations of matrix elements. 
@article{TMF_1974_20_2_a13,
     author = {L. N. Ivanov and E. P. Ivanova},
     title = {First-order function for semirelativistic atomic equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {282--287},
     year = {1974},
     volume = {20},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1974_20_2_a13/}
}
TY  - JOUR
AU  - L. N. Ivanov
AU  - E. P. Ivanova
TI  - First-order function for semirelativistic atomic equation
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1974
SP  - 282
EP  - 287
VL  - 20
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1974_20_2_a13/
LA  - ru
ID  - TMF_1974_20_2_a13
ER  - 
%0 Journal Article
%A L. N. Ivanov
%A E. P. Ivanova
%T First-order function for semirelativistic atomic equation
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1974
%P 282-287
%V 20
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1974_20_2_a13/
%G ru
%F TMF_1974_20_2_a13
L. N. Ivanov; E. P. Ivanova. First-order function for semirelativistic atomic equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 20 (1974) no. 2, pp. 282-287. http://geodesic.mathdoc.fr/item/TMF_1974_20_2_a13/

[1] E. H. Wichmann, C. H. Woo, J. Math. Phys., 2 (1961), 178 | DOI | MR

[2] J. Schwinger, J. Math. Phys., 5 (1964), 1606 | DOI | MR | Zbl

[3] L. C. Hostler, R. H. Pratt, Phys. Rev. Lett., 10 (1963), 469 ; L. C. Hostler, Phys. Rev., 178 (1969), 126 | DOI | MR | Zbl | DOI

[4] P. Martin, R. Glauber, Phys. Rev., 109 (1958), 1307 | DOI | Zbl

[5] R. J. White, Phys. Rev., 184 (1969), 245 | DOI

[6] S. I. Vetchinkin, S. V. Khristenko, DAN SSSR, 180 (1968), 655

[7] V. L. Bakhrakh, S. I. Vetchinkin, TMF, 6 (1971), 392 | MR

[8] L. N. Ivanov, E. P. Ivanova, V. V. Tolmachev, Izv. VUZov, 12 (1969), 84

[9] L. N. Ivanov, E. P. Ivanova, U. I. Safronova, Opt. i spektr, XXXI (1971), 489

[10] E. P. Ivanova, Preprint FIAN No 27, Moskva, 1972 | MR

[11] L. N. Ivanov, E. P. Ivanova, U. I. Safronova, Sbornik dokl. XVII vsesoyuznogo s'ezda po spektroskopii, chast II, Moskva, 1972

[12] E. Kamke, Spravochnik po obyknovennym differentsialnym uravneniyam, «Nauka», 1971 | MR

[13] A. P. Yutsis, N. B. Levinson, V. V. Vanagas, Matematicheskii apparat teorii momenta kolichestva dvizheniya, Vilnyus, 1960 | MR