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Mathematics > Classical Analysis and ODEs

Title: Decay Properties of Spatial Molecular Orbitals

Abstract: Using properties of the Fourier transform we prove that if a Hartree-Fock molecular spatial orbital is in $L_1(\mathbb{R}^3)$, then it decays to zero as its argument diverges to infinity. The proof is rigorous, elementary, and short.
Subjects: Classical Analysis and ODEs (math.CA)
MSC classes: 35Q40 35P05 35J10
Cite as: arXiv:2404.14420 [math.CA]
  (or arXiv:2404.14420v1 [math.CA] for this version)

Submission history

From: Richard Zalik [view email]
[v1] Mon, 15 Apr 2024 19:09:21 GMT (3kb)

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