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Barron regularity of many particle Schr\"odinger eigenfunctions

math.AP · 2025-08-25 · accept · novelty 7.0

Many-particle Schrödinger eigenfunctions with singular potentials are shown to lie in spectral Barron spaces up to a sharp smoothness index, giving the missing regularity theory for neural-network quantum solvers.

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  • Barron regularity of many particle Schr\"odinger eigenfunctions math.AP · 2025-08-25 · accept · none · ref 5

    Many-particle Schrödinger eigenfunctions with singular potentials are shown to lie in spectral Barron spaces up to a sharp smoothness index, giving the missing regularity theory for neural-network quantum solvers.