Eigenvalue estimates for the one-particle density matrix

DOI10.4171/JST/407zbMath1505.35119arXiv2008.10935OpenAlexW3080251065MaRDI QIDQ2080331

Alexander V. Sobolev

Publication date: 7 October 2022

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.10935

zbMATH Keywords

eigenvaluesSchrödinger operatorintegral operatorsmulti-particleone-particle density matrix

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Integral operators (47G10)

Related Items (2)

Eigenvalue asymptotics for the one-particle kinetic energy density operator ⋮ Eigenvalue asymptotics for the one-particle density matrix

Cites Work

• Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators
• Analytic structure of many-body Coulombic wave functions
• Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. IV
• Local properties of Coulombic wave functions
• Reduced density matrices. Coulson's challenge
• Exponential bounds and absence of positive eigenvalues for N-body Schrödinger operators
• Estimates on derivatives of coulombic wave functions and their electron densities
• Sharp regularity results for Coulombic many-electron wave functions
• On the eigenfunctions of many-particle systems in quantum mechanics
• On the infinitude of non–zero eigenvalues of the single–electron density matrix for atoms and molecules
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Eigenvalue estimates for the one-particle density matrix