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

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Teoreticheskaya i Matematicheskaya Fizika, 1985, Volume 64, Number 1, Pages 171–175 (Mi tmf4910)

This article is cited in 8 scientific papers (total in 8 papers)

Spheroidal corrections to the spherical and parabolic bases of the hydrogen atom

L. G. Mardoyan, G. S. Pogosyan, A. N. Sisakyan, V. M. Ter-Antonyan

Full-text PDF (360 kB) Citations (8)

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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.

Received: 08.08.1984

English version:
Theoretical and Mathematical Physics, 1985, Volume 64, Issue 1, Pages 762–764
DOI: https://doi.org/10.1007/BF01017044

Bibliographic databases:

Language: Russian

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

Citation in format AMSBIB

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\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

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\pages 171--175

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\transl

\jour Theoret. and Math. Phys.

\yr 1985

\vol 64

\issue 1

\pages 762--764

\crossref{https://doi.org/10.1007/BF01017044}

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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

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

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Abstract page:	279
Full-text PDF :	102
References:	66
First page:	1

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