Asymptotic solutions of two-dimensional Hartree-type equations localized in the neighborhood of line segments

DOI10.1023/A:1015923406662zbMath1044.35042OpenAlexW346728448MaRDI QIDQ1417381

A. V. Pereskokov

Publication date: 4 January 2004

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1015923406662

zbMATH Keywords

Hartree equationquantization ruleAiry polaronsemiclassical asymptotic solutions

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (5)

Semiclassical asymptotic approximation of the two-dimensional Hartree operator spectrum near the upper boundaries of spectral clusters ⋮ Semiclassical asymptotics of solutions to Hartree type equations concentrated on segments ⋮ Asymptotic solutions to the Hartree equation near a sphere. Asymptotics of self-consistent potentials ⋮ Semiclassical asymptotic spectrum of a Hartree-type operator near the upper boundary of spectral clusters ⋮ Asymptotics of the Hartree operator spectrum near the upper boundaries of spectral clusters: asymptotic solutions localized near a circle

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