Two-term asymptotics of the exchange energy of the electron gas on symmetric polytopes in the high-density limit
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Publication:6628752
DOI10.1007/S11040-024-09485-WMaRDI QIDQ6628752
Publication date: 29 October 2024
Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)
Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fermionic systems in quantum theory (81V74)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- 100 years of Weyl's law
- The analysis of linear partial differential operators. III: Pseudo-differential operators
- Partial differential equations. I: Basic theory
- Fourier transforms related to convex sets
- Spectres et groupes cristallographiques. I: Domaines euclidiens. (Spectra and crystallographic groups. I: Euclidean domains)
- Second term of the spectral asymptotic expansion of the Laplace-Beltrami operator on manifolds with boundary
- The spectrum of positive elliptic operators and periodic bicharacteristics
- On the wave equation on a compact Riemannian manifold without conjugate points
- Pair correlations and exchange phenomena in the free electron gas
- Bemerkung zur Elektronentheorie des Ferromagnetismus und der elektrischen Leitfähigkeit.
- Das asymptotische Verteilungsgesetz der Eigenwerte linearer partieller Differentialgleichungen (mit einer Anwendung auf die Theorie der Hohlraumstrahlung).
- \(C^\infty\) scaling asymptotics for the spectral projector of the Laplacian
- Note on exchange phenomena in the Thomas atom.
- Two-term spectral asymptotics for the Dirichlet Laplacian in a Lipschitz domain
- Two-term spectral asymptotics for the Dirichlet Laplacian on a bounded domain
- Fourier Integrals in Classical Analysis
- Convex Polytopes
- A CORRELATION ESTIMATE WITH APPLICATIONS TO QUANTUM SYSTEMS WITH COULOMB INTERACTIONS
- Gradient estimate of a Dirichlet eigenfunction on a compact manifold with boundary
- Recent Progress in Orbital-free Density Functional Theory
- Crystallographic Groups, Strictly Tessellating Polytopes, and Analytic Eigenfunctions
- Microlocal Analysis, Sharp Spectral Asymptotics and Applications II
- Localized spectral asymptotics for boundary value problems and correlation effects in the free Fermi gas in general domains
- Average Growth of the Spectral Function on a Riemannian Manifold
- Hangzhou Lectures on Eigenfunctions of the Laplacian
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