Abstract:
Recursion relations are obtained that determine the expansion of the spheroidal
basis for the hydrogen atom with respect to its parabolic basis. The leading
spheroidal corrections to the spherical and parabolic bases are calculated by
perturbation theory.
Citation:
L. G. Mardoyan, G. S. Pogosyan, A. N. Sisakyan, V. M. Ter-Antonyan, “Spheroidal corrections to the spherical and parabolic bases of the hydrogen atom”, TMF, 64:1 (1985), 171–175; Theoret. and Math. Phys., 64:1 (1985), 762–764
\Bibitem{MarPogSis85}
\by L.~G.~Mardoyan, G.~S.~Pogosyan, A.~N.~Sisakyan, V.~M.~Ter-Antonyan
\paper Spheroidal corrections to the spherical and parabolic bases of the hydrogen atom
\jour TMF
\yr 1985
\vol 64
\issue 1
\pages 171--175
\mathnet{http://mi.mathnet.ru/tmf4910}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=815105}
\transl
\jour Theoret. and Math. Phys.
\yr 1985
\vol 64
\issue 1
\pages 762--764
\crossref{https://doi.org/10.1007/BF01017044}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1985AYT5900015}
Linking options:
https://www.mathnet.ru/eng/tmf4910
https://www.mathnet.ru/eng/tmf/v64/i1/p171
This publication is cited in the following 8 articles:
Jean-Christophe Pain, “Sum rules for Clebsch–Gordan coefficients from group theory and Runge-Lenz-Pauli vector”, J. Phys. Commun., 6:5 (2022), 055007
Tamaz Kereselidze, John F. Ogilvie, Advances in Quantum Chemistry, 77, 2018, 391
Tamaz Kereselidze, George Chkadua, Pierre Defrance, J. F. Ogilvie, “Derivation, properties and application of Coulomb Sturmians defined in spheroidal coordinates”, Molecular Physics, 114:1 (2016), 148
T. Kereselidze, Z. S. Machavariani, G. Chkadua, “Explicit spheroidal wave functions of the hydrogen atom”, Eur. Phys. J. D, 63:1 (2011), 81
Mardoyan, LG, “Spheroidal analysis of the generalized MIC-Kepler system”, Physics of Atomic Nuclei, 68:10 (2005), 1746
C Grosche, Kh H Karayan, G S Pogosyan, A N Sissakian, “Quantum motion on the three-dimensional sphere: the ellipso-cylindrical bases”, J. Phys. A: Math. Gen., 30:5 (1997), 1629
C. Grosche, G. S. Pogosyan, A. N. Sissakian, “Path Integral Discussion for Smorodinsky-Winternitz Potentials: I. Two- and Three Dimensional Euclidean Space”, Fortschr. Phys., 43:6 (1995), 453
M. Kibler, L. G. Mardoyan, G. S. Pogosyan, “On a generalized Kepler–Coulomb system: Interbasis expansions”, Int J of Quantum Chemistry, 52:6 (1994), 1301
Citation in format AMSBIB
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