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New research details spectral regularity of molecular Coulomb Hamiltonians

By PulseAugur Editorial · [1 sources] ·

A new research paper published on arXiv details sharp mixed spectral Barron regularity for eigenfunctions of molecular Coulomb Hamiltonians. The study establishes an explicit admissible region for the isotropic order 's' and coordinate orders 'alpha' and 'beta', which is optimal for clamped-nuclei Coulomb Hamiltonians. The findings are presented in terms of Fourier L1 norms, detecting regularity not visible to isotropic Barron scales. AI

IMPACT This research contributes to the theoretical understanding of quantum mechanics and wave functions, which could indirectly inform future AI models dealing with complex physical simulations.

RANK_REASON Academic paper published on arXiv detailing mathematical findings. [lever_c_demoted from research: ic=1 ai=0.4]

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

New research details spectral regularity of molecular Coulomb Hamiltonians

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Academic paper published on arXiv detailing mathematical findings. [lever_c_demoted from research: ic=1 ai=0.4]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Pingbing Ming, Hao Yu ·

    Sharp Mixed Spectral Barron Regularity of Coulombic Many-Electron Wave Functions

    arXiv:2609.00872v1 Announce Type: cross Abstract: We establish sharp mixed spectral Barron regularity for eigenfunctions of molecular Coulomb Hamiltonians. The mixed norm is a Fourier $L^1$ norm with one isotropic weight and coordinate-product weights, and therefore detects regul…

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