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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 121, Number 3, Pages 450–463
DOI: https://doi.org/10.4213/tmf822 (Mi tmf822) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Single-electron Schrödinger equation for many-electron systems

L. P. Ginzburg

Moscow Technical University of Communications and Informatics
Full-text PDF (237 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf822
Abstract: We show that under certain conditions, an electron of a many-electron system can be described by the Schrödinger equation with a local Hamiltonian. The square root of the electron density plays the role of the wave function, and the interaction with other electrons is taken into account by averaging with the exact conditional probability. The equation dictates a redefinition of the ionization energy, which is tested with the examples of the hydrogen molecule and two-electron atoms.
Received: 24.04.1999
English version:
Theoretical and Mathematical Physics, 1999, Volume 121, Issue 3, Pages 1641–1653
DOI: https://doi.org/10.1007/BF02557209
Bibliographic databases:
Language: Russian
Citation: L. P. Ginzburg, “Single-electron Schrödinger equation for many-electron systems”, TMF, 121:3 (1999), 450–463; Theoret. and Math. Phys., 121:3 (1999), 1641–1653
Citation in format AMSBIB
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\by L.~P.~Ginzburg
\paper Single-electron Schr\"odinger equation for many-electron systems
\jour TMF
\yr 1999
\vol 121
\issue 3
\pages 450--463
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\crossref{https://doi.org/10.4213/tmf822}
\zmath{https://zbmath.org/?q=an:0967.81070}
\transl
\jour Theoret. and Math. Phys.
\yr 1999
\vol 121
\issue 3
\pages 1641--1653
\crossref{https://doi.org/10.1007/BF02557209}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000085306100008}
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  • https://www.mathnet.ru/eng/tmf822
  • https://doi.org/10.4213/tmf822
  • https://www.mathnet.ru/eng/tmf/v121/i3/p450
    • This publication is cited in the following 2 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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