Asymptotics of the Hartree-type operator spectrum near the lower boundaries of spectral clusters

DOI10.1080/00036811.2015.1129666zbMath1357.81092OpenAlexW2305218107WikidataQ58251688 ScholiaQ58251688MaRDI QIDQ2825320

Alexander Pereskokov

Publication date: 7 October 2016

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2015.1129666

zbMATH Keywords

self-consistent fieldcoherent transformationspectral clusterWKB-approximationquantum average

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Integral representations of solutions to PDEs (35C15) Asymptotic expansions of solutions to PDEs (35C20) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (1)

Asymptotics of the spectrum and quantum averages of a Hartree type operator near the lower boundaries of spectral clusters

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