A short proof of the ionization conjecture in Müller theory

DOI10.1090/conm/717/14437zbMath1423.81198arXiv1807.11690OpenAlexW2949868816MaRDI QIDQ5234932

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

Publication date: 7 October 2019

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.11690

zbMATH Keywords

maximal ionizationMüller density-matrix-functional theory

Mathematics Subject Classification ID

Nuclear physics (81V35) Atomic physics (81V45) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (2)

Relaxed multi-marginal costs and quantization effects ⋮ Differential equations of quantum mechanics

Cites Work

• Nonexistence of large nuclei in the liquid drop model
• Proof of the ionization conjecture in a reduced Hartree-Fock model
• Error bound for the Hartree-Fock energy of atoms and molecules
• The Thomas-Fermi theory of atoms, molecules and solids
• The ionization conjecture in Hartree-Fock theory
• Nonexistence in Thomas-Fermi-Dirac-von Weizsäcker theory with small nuclear charges
• The maximal excess charge in Müller density-matrix-functional theory
• The maximal excess charge for a family of density-matrix-functional theories including Hartree-Fock and Müller theories
• The asymptotic behaviour of the ground state energy of the Müller functional for heavy atoms
• Thomas-fermi and related theories of atoms and molecules
• The Ionization Conjecture in Thomas–Fermi–Dirac–von Weizsäcker Theory

This page was built for publication: A short proof of the ionization conjecture in Müller theory