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Matematicheskaya Biologiya i Bioinformatika, 2017, Volume 12, Issue 2, Pages 273–301
DOI: https://doi.org/10.17537/2017.12.273
(Mi mbb294)
 

This article is cited in 1 scientific paper (total in 1 paper)

Mathematical Modeling

Exponentially correlated Gaussians for simulating of localized and autolocalized states in polar media

N. I. Kashirinaa, V. D. Lakhnob

a V. Lashkaryov Institute of Semiconductor Physics of the National Academy of Sciences of Ukraine, Kiev, 03028, Ukraine
b Institute of Mathematical Problems of Biology RAS - the Branch of Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Pushchino, Moscow Region, 142290, Russia
References:
Abstract: Localized and autolocalized states and their simplest two-electron complexes in polar media are considered in the continuum approximation. The electron-phonon interaction is taken into account in the Pekar–Fröhlich approximation. The exponentially correlated Gaussian basis is used for the calculation of the energy spectrum of two-electron systems in phonon field. Analytical expressions for effective functionals of paramagnetic centers and their simplest two-electron complexes are presented. Numerical examples are given for the calculations of the energy spectrum of localized and self-localized states in metal-ammonia solutions.
Key words: electron-phonon interaction, Gaussian basis, polaron, bipolaron.
Funding agency Grant number
Russian Foundation for Basic Research 16-07-00305_a
Russian Science Foundation 16-11-10163
Received 26.06.2017, Published 24.08.2017
Document Type: Article
UDC: 538.958, 538.956, 537.311.322, 538.915
Language: Russian
Citation: N. I. Kashirina, V. D. Lakhno, “Exponentially correlated Gaussians for simulating of localized and autolocalized states in polar media”, Mat. Biolog. Bioinform., 12:2 (2017), 273–301
Citation in format AMSBIB
\Bibitem{KasLak17}
\by N.~I.~Kashirina, V.~D.~Lakhno
\paper Exponentially correlated Gaussians for simulating of localized and autolocalized states in polar media
\jour Mat. Biolog. Bioinform.
\yr 2017
\vol 12
\issue 2
\pages 273--301
\mathnet{http://mi.mathnet.ru/mbb294}
\crossref{https://doi.org/10.17537/2017.12.273}
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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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