Geodesic
Interbasis expansions in the two-dimensional hydrogen atom
Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 3, pp. 406-416 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

It is shown that the coefficients of the expansion of the parabolic subbases of the two-dimensional hydrogen atom with respect to the polar subbases can be expressed in terms of the generalized hypergeometric function $_3 F_2$ for argument value $x=1$. The expansions of the elliptic basis with respect to the polar and the parabolic are also investigated. A study is made of the limits $R\to 0$ and $R\to\infty$ ($R$ is the parameter which occurs in the definition of the elliptic coordinates) in the expansions of the elliptic basis, and expressions for the coefficients of the expansions of the elliptic basis in terms of the elliptic separation constant are obtained. 
@article{TMF_1985_63_3_a8,
     author = {L. G. Mardoyan and G. S. Pogosyan and A. N. Sisakyan and V. M. Ter-Antonyan},
     title = {Interbasis expansions in the two-dimensional hydrogen atom},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {406--416},
     year = {1985},
     volume = {63},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1985_63_3_a8/}
}
TY  - JOUR
AU  - L. G. Mardoyan
AU  - G. S. Pogosyan
AU  - A. N. Sisakyan
AU  - V. M. Ter-Antonyan
TI  - Interbasis expansions in the two-dimensional hydrogen atom
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1985
SP  - 406
EP  - 416
VL  - 63
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1985_63_3_a8/
LA  - ru
ID  - TMF_1985_63_3_a8
ER  - 
%0 Journal Article
%A L. G. Mardoyan
%A G. S. Pogosyan
%A A. N. Sisakyan
%A V. M. Ter-Antonyan
%T Interbasis expansions in the two-dimensional hydrogen atom
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1985
%P 406-416
%V 63
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1985_63_3_a8/
%G ru
%F TMF_1985_63_3_a8
L. G. Mardoyan; G. S. Pogosyan; A. N. Sisakyan; V. M. Ter-Antonyan. Interbasis expansions in the two-dimensional hydrogen atom. Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 3, pp. 406-416. http://geodesic.mathdoc.fr/item/TMF_1985_63_3_a8/

[1] Zaslow B., Zandler M. E., Amer. J. Phys., 35:12 (1967), 1118–1119 | DOI | MR

[2] Cisneros A., McIntosh H. V., J. Math. Phys., 10:2 (1968), 277–286 | DOI

[3] Mardoyan L. G., Pogosyan G. S., Sisakyan A. N., Ter-Antonyan V. M., TMF, 61:1 (1984), 99–117 | MR

[4] Mardoyan L. G., Pogosyan G. S., Sissakian A. N., Ter-Antonyan V. M., J. Phys., A18:3 (1985), 455–467 | MR

[5] Mardoyan L. G., Pogosyan G. S., Ter-Antonyan V. M., Izv. AN ArmSSR, Fizika, 19:1 (1984), 3–9 | MR

[6] Bailey W. N., Generalized Hypergeometric Series, Cambridge Tract, No 32, Cambridge, 1935 | MR