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<p>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.</p>

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

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  • 发表日期：

    2025年2月18日

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  • Peter Hearnshaw

摘要

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.