Semiclassical asymptotic spectrum of a Hartree-type operator near the upper boundary of spectral clusters

DOI10.1007/S11232-014-0131-8zbMath1298.81093OpenAlexW2033628683MaRDI QIDQ461583

A. V. Pereskokov

Publication date: 13 October 2014

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

Full work available at URL: https://doi.org/10.1007/s11232-014-0131-8

zbMATH Keywords

WKB approximationself-consistent fieldcoherent transformationmethod of quantum averagingquantum meanspectral cluster

Mathematics Subject Classification ID

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 (10)

Semiclassical asymptotic approximation of the two-dimensional Hartree operator spectrum near the upper boundaries of spectral clusters ⋮ Semiclassical asymptotics of the spectrum of a two-dimensional Hartree type operator near boundaries of spectral clusters ⋮ Semiclassical asymptotics of the spectrum near the lower boundary of spectral clusters for a Hartree-type operator ⋮ Asymptotics of the spectrum of a Hartree-type operator with a screened Coulomb self-action potential near the upper boundaries of spectral clusters ⋮ Semiclassical asymptotics of solutions to Hartree type equations concentrated on segments ⋮ Complex WKB method (one-dimensional linear problems on the complex plane) ⋮ Asymptotics of the spectrum and quantum averages of a Hartree type operator near the lower boundaries of spectral clusters ⋮ Semiclassical asymptotic spectrum of the two-dimensional Hartree operator near a local maximum of the eigenvalues in a spectral cluster ⋮ Asymptotics of the spectrum of a two-dimensional Hartree-type operator with a Coulomb self-action potential near the lower boundaries of spectral clusters ⋮ Asymptotics of the Hartree operator spectrum near the upper boundaries of spectral clusters: asymptotic solutions localized near a circle

Cites Work

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• Local limit theorems for functionals of the supremum type in the lattice case
• Localized asymptotic solutions of the self-consistent field equation
• Asymptotics of eigenvalue clusters for the Laplacian plus a potential
• Asymptotic solutions of two-dimensional Hartree-type equations localized in the neighborhood of line segments
• Asymptotics of the spectrum and quantum averages near the boundaries of spectral clusters for perturbed two-dimensional oscillators
• Semiclassical spectral series of a Hartree-type operator corresponding to a rest point of the classical Hamilton-ehrenfest system
• Asymptotic and geometric quantization
• Asymptotic solutions of Hartree equations concentrated near low-dimensional submanifolds. II. Localization in planar discs
• Asymptotic solutions of Hartree equations concentrated near low-dimensional submanifolds. I. The model with logarithmic singularity
• Asymptotics of the spectrum and quantum averages of a perturbed resonant oscillator near the boundaries of spectral clusters

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