Asymptotics of the spectrum and quantum averages of a Hartree type operator near the lower boundaries of spectral clusters
DOI10.1007/S10958-020-04840-YzbMath1448.81322OpenAlexW3025824888MaRDI QIDQ2202712
A. V. Pereskokov, D. A. Vakhrameeva
Publication date: 29 September 2020
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-020-04840-y
General topics in linear spectral theory for PDEs (35P05) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Asymptotic expansions of solutions to PDEs (35C20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Many-body theory; quantum Hall effect (81V70)
Cites Work
- Semiclassical asymptotic spectrum of a Hartree-type operator near the upper boundary of spectral clusters
- Asymptotics of the spectrum of a two-dimensional Hartree-type operator with a Coulomb self-action potential near the lower boundaries of spectral clusters
- Semiclassical asymptotics of the spectrum near the lower boundary of spectral clusters for a Hartree-type operator
- Semiclassical asymptotic approximation of the two-dimensional Hartree operator spectrum near the upper boundaries of spectral clusters
- Asymptotics of the Hartree-type operator spectrum near the lower boundaries of spectral clusters
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