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Sbornik: Mathematics, 2013, Volume 204, Issue 2, Pages 155–181
DOI: https://doi.org/10.1070/SM2013v204n02ABEH004295 (Mi sm7930) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The geometry of electron wave functions

Yu. A. Aminov

ILTPE -- B.~Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, Kharkov
English version PDF (338 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/SM2013v204n02ABEH004295
Abstract: To each wave function we assign a codimension-two submanifold in Euclidean space. We study the case of the wave function of a single electron in the hydrogen atom or other hydrogen-type atoms with quantum numbers $n$, $l$, $m$ in detail. We prove theorems describing the behaviour of the scalar and sectional curvature of the constructed submanifold, depending on the quantum numbers. We also consider the external geometry of the submanifold.
Bibliography: 9 titles.
Keywords: hydrogen atom, submanifold, curvature, quantum numbers.
Received: 09.09.2011 and 19.07.2012
Bibliographic databases:
Document Type: Article
UDC: 514.77+514.8
MSC: 53C40, 81Q80
Language: English
Original paper language: Russian
Citation: Yu. A. Aminov, “The geometry of electron wave functions”, Sb. Math., 204:2 (2013), 155–181
Citation in format AMSBIB
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\by Yu.~A.~Aminov
\paper The geometry of electron wave functions
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\pages 155--181
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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