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The diagonal behaviour of the one-particle Coulombic density matrix

Peter Hearnshaw and Alexander V. Sobolev
Vol. 4 (2023), No. 4, 935–964
DOI: 10.2140/pmp.2023.4.935
Abstract

We obtain bounds for all derivatives of the nonrelativistic Coulombic one-particle density matrix γ(x,y) near the diagonal x = y.

Keywords
multiparticle system, Schrödinger equation, one-particle density matrix
Mathematical Subject Classification
Primary: 35B65
Secondary: 35J10, 81V55
Milestones
Received: 5 October 2022
Revised: 16 June 2023
Accepted: 18 August 2023
Published: 29 November 2023
Authors
Peter Hearnshaw
Centre for the Mathematics of Quantum Theory
University of Copenhagen
Copenhagen
Denmark
Alexander V. Sobolev
Department of Mathematics
University College London
London
United Kingdom
© 2023 MSP (Mathematical Sciences Publishers).