English(EN) Sharp Mixed Spectral Barron Regularity of Coulombic Many-Electron Wave Functions

新研究详细介绍了分子库仑哈密顿量的谱正则性

作者 PulseAugur 编辑部 · [1 个来源] · 2026-09-02 04:00

一篇新发表在arXiv上的研究论文详细介绍了分子库仑哈密顿量特征函数具有尖锐的混合谱Barron正则性。该研究为各向同性阶数's'和坐标阶数'alpha'及'beta'建立了一个明确的可容许区域，该区域对于固定核库仑哈密顿量是最优的。研究结果以傅里叶L1范数形式呈现，检测到了各向同性Barron尺度下不可见的正则性。 AI

影响这项研究有助于对量子力学和波函数的理论理解，这可能间接为未来处理复杂物理模拟的AI模型提供信息。

排序理由发表在arXiv上的学术论文，详细介绍了数学发现。[lever_c_demoted from research: ic=1 ai=0.4]

在 arXiv cs.LG 阅读 →

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报道来源 [1]

arXiv cs.LG TIER_1 English(EN) · Pingbing Ming, Hao Yu · 2026-09-02 04:00

库仑多电子波函数的尖锐混合谱正则性

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…

本文如何被排名

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库仑多电子波函数的尖锐混合谱正则性

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