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Journal of Mathematical Physics

Eigenvalue bounds for multi-particle reduced density matrices of Coulombic wavefunctions

Peter Hearnshaw

Published Mar 1, 2026• 0 citations
Publisher

Abstract

For bound states of atoms and molecules we obtain decay estimates for the eigenvalues of the K-particle reduced density matrix. Previously, eigenvalue bounds were obtained by A.V. Sobolev in the K = 1 case and, by extension, the K = N − 1 case. The purpose of the current work is to obtain bounds for the remaining cases.
DOI
10.1063/5.0260980

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