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Generalized ionization energies for full Coulomb atoms

Source: github.com/openai/math/tree/main/preprints/Generalized-ioni…

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OpenAI Mathopenai-math/Generalized-ionization-energies-for-full-Coulomb-atomsSep 24, 2026math.MPAI-generatedscore 0

We prove the energy part of the generalized ionization conjecture for full nonrelativistic Coulomb atoms with two electron spin states. The energy needed to remove m electrons is asymptotic to $a_{\mathrm{TF}}m^{7/3}$ whenever $m\to\infty$ and $Z/m\to\infty$, with the Thomas–Fermi constant in atomic units. We also obtain both conjectured iterated limits.

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