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Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 209, Number 3, Pages 543–560
DOI: https://doi.org/10.4213/tmf10127 (Mi tmf10127) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Asymptotics of the spectrum of a Hartree-type operator with a screened Coulomb self-action potential near the upper boundaries of spectral clusters

A. V. Pereskokovab

a National Research University "Higher School of Economics", Moscow, Russia
b National Research University "Moscow Power Engineering Institute", Moscow, Russia
Full-text PDF (481 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf10127
Abstract: We consider the eigenvalue problem for a Hartree-type operator with a screened Coulomb self-action potential and with a small parameter multiplying the nonlinearity. We obtain asymptotic eigenvalues and asymptotic eigenfunctions near the upper boundaries of spectral clusters that form near the energy levels of the unperturbed operator.
Keywords: spectral cluster, self-consistent field, asymptotic eigenvalue, asymptotic eigenfunction, solvability condition.
Funding agency Grant number
Russian Science Foundation 19-11-00033
The work is supported by the Russian Science Foundation (Grant No. 19-11-00033).
Received: 14.05.2021
Revised: 20.08.2021
English version:
Theoretical and Mathematical Physics, 2021, Volume 209, Issue 3, Pages 1782–1797
DOI: https://doi.org/10.1134/S0040577921120096
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Pereskokov, “Asymptotics of the spectrum of a Hartree-type operator with a screened Coulomb self-action potential near the upper boundaries of spectral clusters”, TMF, 209:3 (2021), 543–560; Theoret. and Math. Phys., 209:3 (2021), 1782–1797
Citation in format AMSBIB
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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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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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