Geodesic
Integral equations and relations for Coulomb spheroidal functions
Teoretičeskaâ i matematičeskaâ fizika, Tome 29 (1976) no. 2, pp. 235-243
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The connection between the one- and two-center Coulomb problems makes it possible to construct integral equations for the Coulomb spheroidal functions (CSFs). For the onecenter Coulomb problem in spheroidal coordinates the equations go over into integral relations whose coefficients can be expressed in terms of the limiting values of the angular one-center CSFs at the points $\pm1$. 
@article{TMF_1976_29_2_a9,
     author = {D. I. Abramov and I. V. Komarov},
     title = {Integral equations and relations for {Coulomb} spheroidal functions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {235--243},
     year = {1976},
     volume = {29},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1976_29_2_a9/}
}
TY  - JOUR
AU  - D. I. Abramov
AU  - I. V. Komarov
TI  - Integral equations and relations for Coulomb spheroidal functions
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1976
SP  - 235
EP  - 243
VL  - 29
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1976_29_2_a9/
LA  - ru
ID  - TMF_1976_29_2_a9
ER  - 
%0 Journal Article
%A D. I. Abramov
%A I. V. Komarov
%T Integral equations and relations for Coulomb spheroidal functions
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1976
%P 235-243
%V 29
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1976_29_2_a9/
%G ru
%F TMF_1976_29_2_a9
D. I. Abramov; I. V. Komarov. Integral equations and relations for Coulomb spheroidal functions. Teoretičeskaâ i matematičeskaâ fizika, Tome 29 (1976) no. 2, pp. 235-243. http://geodesic.mathdoc.fr/item/TMF_1976_29_2_a9/

[2] K. Flammer, Tablitsy volnovykh sferoidalnykh funktsii, Izd. VTs AN SSSR, 1962 | MR

[3] F. M. Mors, G. Feshbakh, Metody teoreticheskoi fiziki, t. 2, IL, 1960

[4] P. C. McKinney, J. Chem. Phys., 42 (1965), 3537 | DOI

[5] Yu. N. Demkov, Pisma v ZhETF, 7 (1968), 101

[6] A. I. Baz, Ya. B. Zeldovich, A. M. Perelomov, Rasseyanie, reaktsii i raspady v nerelyativistskoi kvantovoi mekhanike, «Nauka», 1971 | Zbl

[7] M. K. Razmakhnin, V. P. Yakovlev, Funktsii s dvoinoi ortogonalnostyu v radioelektronike i optike, 1971

[8] L. D. Landau, E. M. Lifshits, Kvantovaya mekhanika, «Nauka», 1974 | MR

[9] D. I. Abramov, I. V. Komarov, Tezisy VI VKEAS, Tbilisi, 1975, 253 | Zbl

[10] C. M. Li, J. Math. Phys., 15 (1974), 570 | DOI