Eigenvalue estimates for the one-particle density matrix

2020/08/25 by Alexander V. Sobolev, Sobolev, Alexander V. · 1 citation
Computer Science · Mathematics · #81Q10 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Primary 35J10 #Random Matrices and Applications #Secondary 47G10 #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2008.10935

openalex publication_date 2020/08/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that the eigenvalues λ_k, k=1, 2, …, of the one-particle density matrix satisfy the bound λ_k≤ C k^-8/3 with a positive constant C.

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• Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix

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