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Teoreticheskaya i Matematicheskaya Fizika, 1985, Volume 63, Number 3, Pages 406–416 (Mi tmf4844)  

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
Full-text PDF (679 kB) Citations (1)
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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
English version:
Theoretical and Mathematical Physics, 1985, Volume 63, Issue 3, Pages 597–603
DOI: https://doi.org/10.1007/BF01017506
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
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\by L.~G.~Mardoyan, G.~S.~Pogosyan, A.~N.~Sisakyan, V.~M.~Ter-Antonyan
\paper Interbasis expansions in the two-dimensional hydrogen atom
\jour TMF
\yr 1985
\vol 63
\issue 3
\pages 406--416
\mathnet{http://mi.mathnet.ru/tmf4844}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=805521}
\transl
\jour Theoret. and Math. Phys.
\yr 1985
\vol 63
\issue 3
\pages 597--603
\crossref{https://doi.org/10.1007/BF01017506}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1985AWZ6400009}
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  • https://www.mathnet.ru/eng/tmf/v63/i3/p406
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:317
    Full-text PDF :103
    References:58
    First page:1
     
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