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math.AP2026
Sharp Mixed Spectral Barron Regularity of Coulombic Many-Electron Wave Functions
Pingbing Ming, Hao Yu
We establish sharp mixed spectral Barron regularity for eigenfunctions of molecular Coulomb Hamiltonians. The mixed norm is a Fourier norm with one isotropic weight and coord…
math.AP2026
Sharp Barron Regularity Results for Coulombic Many-Electron Wave Functions
Pingbing Ming, Hao Yu
We establish sharp Barron regularity for Coulombic many-electron wave functions after extraction of the universal cut-off Jastrow factors. Following the factorization of Fournais e…
math.AP2017★ 7 cited
From atomistic model to the Peierls-Nabarro model with -surface for dislocations
Tao Luo, Pingbing Ming, Yang Xiang
The Peierls-Nabarro (PN) model for dislocations is a hybrid model that incorporates the atomistic information of the dislocation core structure into the continuum theory. In this p…