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math.AP2026
Cut-off Jastrow Factors and Spectral Barron Regularity of Coulombic Electronic Wave Functions
Virginie Ehrlacher
We study the spectral Barron regularity of Coulombic electronic eigenfunctions after extraction of a cut-off Jastrow factor. Let \(H=-Î+V\) be an \(N\)-electron Coulomb Hamiltonia…
math.AP2025
Low-complexity approximations with least-squares formulation of the time-dependent Schr{ö}dinger equation
Mi-Song Dupuy, Virginie Ehrlacher, Clément Guillot
We propose new methods designed to numerically approximate the solution to the time dependent Schr{ö}dinger equation, based on two types of ansatz: tensors, and approximation by a…