Geodesic
Semiclassical asymptotic spectrum of the two-dimensional Hartree operator near a local maximum of the eigenvalues in a spectral cluste
Teoretičeskaâ i matematičeskaâ fizika, Tome 205 (2020) no. 3, pp. 467-483 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the eigenvalue problem for the two-dimensional Hartree operator with a small nonlinearity coefficient. We find the asymptotic eigenvalues and asymptotic eigenfunctions near a local maximum of the eigenvalues in spectral clusters formed near the eigenvalues of the unperturbed operator.
Keywords: spectral cluster, WKB approximation, asymptotic eigenvalue, asymptotic eigenfunction, logarithmic singularity. 
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A. V. Pereskokov. Semiclassical asymptotic spectrum of the two-dimensional Hartree operator near a local maximum of the eigenvalues in a spectral cluste. Teoretičeskaâ i matematičeskaâ fizika, Tome 205 (2020) no. 3, pp. 467-483. http://geodesic.mathdoc.fr/item/TMF_2020_205_3_a6/

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