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

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arxiv 2301.02848 v2 pith:EGHA4HTJ submitted 2023-01-07 math-ph math.MP

Peter Hearnshaw This is my paper · ORCID
classification math-phmath.MP
keywords boundednesscoulombicdensityderivativediagonalfifthmatrixone-particle
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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.

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  1. Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions

    math-ph 2024-12 conditional novelty 6.0 of 10

    For bound states of N-electron atoms and molecules, the eigenvalues of the K-particle reduced density matrix decay as n^{-(1+7/(3 min{K,N-K}))}.

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