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Pis'ma v Zh. Èksper. Teoret. Fiz., 2016, Volume 103, Issue 1, Pages 62–66 (Mi jetpl4834)  

This article is cited in 2 scientific papers (total in 2 papers)

MISCELLANEOUS

Rules of correspondence in atomic physics

A. M. Dyugaevab, E. V. Lebedevac

a Max-Planck-Institut für Physik Komplexer Systeme, D-01187, Dresden, Germany
b Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka, Moscow region, 142432, Russia
c Institute of Solid State Physics, Russian Academy of Sciences, Chernogolovka, Moscow region, 142432, Russia

Abstract: The Smirnov method of analytic continuation (B.M. Smirnov, Sov. Phys. JETP $\mathbf{20}$, 345 (1964)) has been justified and developed for atomic physics. It has been shown that the polarizability of alkali atoms $\alpha$, their van der Waals interaction constant $C_6$, and the oscillator strength of the transition to the first $P$ state $f_{01}$ are related to the parameter $\langle r^2\rangle$ and gap in the spectrum $\frac{3}{2}\frac{f}{\Delta}\approx \frac{3}{2}\alpha\Delta\approx (3C_6\Delta)^{1/2}\approx\langle r^2\rangle$. The average square of the coordinate of the valence electron $\langle r^2\rangle$ in the first approximation has a hydrogen dependence $J_1=\frac{1}{2\nu^2}$ on the filling factor $\nu$, which is defined in terms of the first ionization potential.

Funding Agency Grant Number
Russian Foundation for Basic Research 13-02-00178_


DOI: https://doi.org/10.7868/S0370274X16010112

Full text: PDF file (217 kB)
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English version:
Journal of Experimental and Theoretical Physics Letters, 2016, 103:1, 57–61

Bibliographic databases:

Received: 05.11.2015

Citation: A. M. Dyugaev, E. V. Lebedeva, “Rules of correspondence in atomic physics”, Pis'ma v Zh. Èksper. Teoret. Fiz., 103:1 (2016), 62–66; JETP Letters, 103:1 (2016), 57–61

Citation in format AMSBIB
\Bibitem{DyuLeb16}
\by A.~M.~Dyugaev, E.~V.~Lebedeva
\paper Rules of correspondence in atomic physics
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2016
\vol 103
\issue 1
\pages 62--66
\mathnet{http://mi.mathnet.ru/jetpl4834}
\crossref{https://doi.org/10.7868/S0370274X16010112}
\elib{http://elibrary.ru/item.asp?id=26126454}
\transl
\jour JETP Letters
\yr 2016
\vol 103
\issue 1
\pages 57--61
\crossref{https://doi.org/10.1134/S0021364016010069}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000374066600011}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84962174348}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. M. Dyugaev, E. V. Lebedeva, JETP Letters, 104:9 (2016), 639–644  mathnet  crossref  crossref  isi  elib
    2. A. M. Dyugaev, V E. Lebedeva, Low Temp. Phys., 44:10 (2018), 1085–1089  crossref  isi  scopus
  •       Pis'ma v Zhurnal ksperimental'noi i Teoreticheskoi Fiziki
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