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Teoreticheskaya i Matematicheskaya Fizika, 1971, Volume 7, Number 3, Pages 342–347 (Mi tmf4316)  

This article is cited in 4 scientific papers (total in 4 papers)

Generalized coulomb Green's function for bound states of the nonrelativistic Schrödinger equation

A. I. Sherstyuk
Full-text PDF (551 kB) Citations (4)
References:
Abstract: The well-known closed expression for the Coulomb Green's function in the coordinate representation in terms of Whittaker functions is used to obtain an explicit expression for a generalized Coulomb Green's function for an arbitrary bound state of the nonretativistic Schrödinger equation in the three-dimensional case. Formulas are derived that express the corrections of the higher orders of perturbation theory in terms of the generalized Green's function.
Received: 04.05.1970
Revised: 01.09.1970
English version:
Theoretical and Mathematical Physics, 1971, Volume 7, Issue 3, Pages 579–583
DOI: https://doi.org/10.1007/BF01032077
Bibliographic databases:
Language: Russian
Citation: A. I. Sherstyuk, “Generalized coulomb Green's function for bound states of the nonrelativistic Schrödinger equation”, TMF, 7:3 (1971), 342–347; Theoret. and Math. Phys., 7:3 (1971), 579–583
Citation in format AMSBIB
\Bibitem{She71}
\by A.~I.~Sherstyuk
\paper Generalized coulomb Green's function for bound states of the nonrelativistic Schr\"odinger equation
\jour TMF
\yr 1971
\vol 7
\issue 3
\pages 342--347
\mathnet{http://mi.mathnet.ru/tmf4316}
\zmath{https://zbmath.org/?q=an:0212.12802}
\transl
\jour Theoret. and Math. Phys.
\yr 1971
\vol 7
\issue 3
\pages 579--583
\crossref{https://doi.org/10.1007/BF01032077}
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  • https://www.mathnet.ru/eng/tmf/v7/i3/p342
  • This publication is cited in the following 4 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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