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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
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.
Received 26.06.2017, Published 24.08.2017
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
Linking options:
https://www.mathnet.ru/eng/mbb294 https://www.mathnet.ru/eng/mbb/v12/i2/p273
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