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TMF, 1990, Volume 83, Number 3, Pages 419–427 (Mi tmf5820)  

This article is cited in 3 scientific papers (total in 3 papers)

Hydrogen atom as indicator of hidden symmetry of a ring-shaped potential

I. V. Lutsenko, G. S. Pogosyan, A. N. Sisakyan, V. M. Ter-Antonyan


Abstract: The idea of an analogy between a ring-shaped potential and a Coulomb potential is advanced. It is shown that the expansion of the parabolic basis with respect to the spherical basis in the problem of a ring-shaped potential is determined by the Clebsch–Gordan coefficients of the group $SU(2)$ continued to the region of arbitrary real indices. The connection between these coefficients and the functions $_3F_2$ is found, and it is shown that they have a symmetry property under substitution of the parabolic quantum numbers.

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English version:
Theoretical and Mathematical Physics, 1990, 83:3, 633–639

Bibliographic databases:

Received: 27.09.1989

Citation: I. V. Lutsenko, G. S. Pogosyan, A. N. Sisakyan, V. M. Ter-Antonyan, “Hydrogen atom as indicator of hidden symmetry of a ring-shaped potential”, TMF, 83:3 (1990), 419–427; Theoret. and Math. Phys., 83:3 (1990), 633–639

Citation in format AMSBIB
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\by I.~V.~Lutsenko, G.~S.~Pogosyan, A.~N.~Sisakyan, V.~M.~Ter-Antonyan
\paper Hydrogen atom as~indicator of~hidden symmetry of~a~ring-shaped potential
\jour TMF
\yr 1990
\vol 83
\issue 3
\pages 419--427
\mathnet{http://mi.mathnet.ru/tmf5820}
\transl
\jour Theoret. and Math. Phys.
\yr 1990
\vol 83
\issue 3
\pages 633--639
\crossref{https://doi.org/10.1007/BF01018033}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1990EX50100010}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Mardoyan, L, “The generalized MIC-Kepler system”, Journal of Mathematical Physics, 44:11 (2003), 4981  crossref  mathscinet  zmath  adsnasa  isi
    2. Mardoyan, LG, “Spheroidal analysis of the generalized MIC-Kepler system”, Physics of Atomic Nuclei, 68:10 (2005), 1746  crossref  mathscinet  adsnasa  isi
    3. L. G. Mardoyan, “Ring-Shaped Functions and Wigner $6j$-Symbols”, Theoret. and Math. Phys., 146:2 (2006), 248–258  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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