Boundedness of the Fifth Derivative for the One-Particle Coulombic Density Matrix at the Diagonal
arXiv:2301.02848
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, strong pointwise bounds are obtained for cluster derivatives of wavefunctions involving multiple clusters.
46 pages