Jastrow Factors and Barron Regularity of Electronic Wave Functions

Speaker: <a href="https://team.inria.fr/matherials/team-members/virginie-ehrlacher-galland/">Virginie Ehrlacher (ENPC)</a> Organiser: Michael Herbst, Noé Blassel, Niklas Schmitz <p>Wave functions describing bound states of electronic systems satisfy high-dimensional Schrödinger equations whose potentials exhibit Coulomb singularities at particle-collision configurations. These singularities generate cusps that limit the global regularity of the wave function in spectral Barron spaces, which are particularly relevant to the analysis of Fourier-based approximation methods and neural networks.<br> In this talk, we study the effect of extracting a truncated Jastrow factor designed to capture the leading coalescence singularities while preserving the asymptotic behavior o