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Teoreticheskaya i Matematicheskaya Fizika, 1985, Volume 63, Number 3, Pages 406–416
(Mi tmf4844)
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This article is cited in 1 scientific paper (total in 1 paper)
Interbasis expansions in the two-dimensional hydrogen atom
L. G. Mardoyan, G. S. Pogosyan, A. N. Sisakyan, V. M. Ter-Antonyan
Abstract:
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.
Received: 01.03.1984
Citation:
L. G. Mardoyan, G. S. Pogosyan, A. N. Sisakyan, V. M. Ter-Antonyan, “Interbasis expansions in the two-dimensional hydrogen atom”, TMF, 63:3 (1985), 406–416; Theoret. and Math. Phys., 63:3 (1985), 597–603
Linking options:
https://www.mathnet.ru/eng/tmf4844 https://www.mathnet.ru/eng/tmf/v63/i3/p406
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Abstract page: | 323 | Full-text PDF : | 104 | References: | 59 | First page: | 1 |
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