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

Theoretical and Mathematical Physics. 2021. Vol. 209. No. 3. P. 1782–1797.
Pereskokov A.

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.

Research target: Mathematics
Language: English
Full text
DOI
Text on another site
Keywords: спектральный кластерсамосогласованное полеусловие разрешимостиself-consistent fieldasymptotic eigenfunctionasymptotic eigenvaluespectral clustersolvability conditionасимптотическое собственное значениеасимптотическая собственная функция
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