{"id":"openai-math/Generalized-ionization-energies-for-full-Coulomb-atoms","pdf":"https://github.com/openai/math/blob/main/preprints/Generalized-ionization-energies-for-full-Coulomb-atoms-September-24-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Generalized-ionization-energies-for-full-Coulomb-atoms-September-24-2026","tags":["mathematical-physics","coulomb-systems","quantum-mechanics"],"score":0,"title":"Generalized ionization energies for full Coulomb atoms","domain":"Mathematical physics","family":"263","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.MP","summary":"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.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-24","reactions":{},"formalized":true,"family_title":"The ionization and generalized ionization conjectures"}