The Ionization Conjecture in Thomas–Fermi–Dirac–von Weizsäcker Theory

DOI10.1002/cpa.21717zbMath1386.49063arXiv1606.07355OpenAlexW2963928931WikidataQ123019546 ScholiaQ123019546MaRDI QIDQ4604587

Hanne van den Bosch, Rupert L. Frank, Phan Thành Nam

Publication date: 2 March 2018

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.07355

zbMATH Keywords

nuclear potentialionization conjectureThomas-Fermi-Dirac-von Weizsäcker theory

Mathematics Subject Classification ID

Nuclear physics (81V35) Applications of operator theory in the physical sciences (47N50) Variational principles of physics (49S05)

Related Items (19)

Born-Oppenheimer potential energy surfaces for Kohn-Sham models in the local density approximation ⋮ The maximal negative ion of the time-dependent Thomas-Fermi and the Vlasov atom ⋮ Nonexistence in Thomas-Fermi-Dirac-von Weizsäcker theory with small nuclear charges ⋮ Existence of minimizers for a generalized liquid drop model with fractional perimeter ⋮ Relaxed multi-marginal costs and quantization effects ⋮ Some minimization problems for mean field models with competing forces ⋮ Ground-states for the liquid drop and TFDW models with long-range attraction ⋮ Mass splitting in the Thomas–Fermi–Dirac–von Weizsäcker model with background potential ⋮ The Scott conjecture for large Coulomb systems: a review ⋮ On an effective equation of the reduced Hartree-Fock theory ⋮ Binding of atoms in Müller theory ⋮ Droplet breakup in the liquid drop model with background potential ⋮ Existence and nonexistence in the liquid drop model ⋮ The maximal excess charge in reduced Hartree–Fock molecule ⋮ The ionization problem ⋮ The maximal excess charge in Müller density-matrix-functional theory ⋮ A short proof of the ionization conjecture in Müller theory ⋮ Convergence of the TFDW Energy to the Liquid Drop Model ⋮ A spherical rearrangement proof of the stability of a Riesz-type inequality and an application to an isoperimetric type problem

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