Interbasis expansions in the two-dimensional hydrogen atom
Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 3, pp. 406-416
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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},
publisher = {mathdoc},
volume = {63},
number = {3},
year = {1985},
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 PB - mathdoc 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 %I mathdoc %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/