Work

Boundedness of the Fifth Derivative for the One-Particle Coulombic Density Matrix at the Diagonal

Year: 2025

Type: article

Abstract: Boundedness is demonstrated for the fifth derivative of the one-particle reduced density matrix for non-relativistic Coulombic wavefunctions in the vicinity of the diagonal. To prove this result, improved pointwise bounds are obtained for cluster derivatives of wavefunctions involving multiple clusters.

Source: Annales Henri Poincaré

DOI: 10.1007/s00023-025-01548-0

Author: Peter Hearnshaw

Institution: University of Copenhagen

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: Villum Fonden, Engineering and Physical Sciences Research Council