Binding of atoms in Müller theory

DOI10.1063/1.5087911zbMath1414.81280arXiv1812.11754OpenAlexW2925043605MaRDI QIDQ5379374

Yukimi Goto

Publication date: 28 May 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.11754

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Molecular physics (81V55)

Cites Work

• Asymptotic neutrality of diatomic molecules
• Long range atomic potentials in Thomas-Fermi theory
• Lieb-Thirring inequalities with improved constants
• The Thomas-Fermi theory of atoms, molecules and solids
• The ionization conjecture in Hartree-Fock theory
• The maximal excess charge in Müller density-matrix-functional theory
• The Lieb-Thirring inequality revisited
• The maximal excess charge for a family of density-matrix-functional theories including Hartree-Fock and Müller theories
• Binding of atoms and stability of molecules in hartree and thomas-fermi type theories.
• The asymptotic behaviour of the ground state energy of the Müller functional for heavy atoms
• A ecessary and Sufficient Condition for The Stability of General molecular Systems
• Binding of atoms and stability of molecules in hartree and thomas—fermi type theories
• Binding of atoms and stability of molecules in hartree and thomas-fermi type theories.
• Thomas-fermi and related theories of atoms and molecules
• The Ionization Conjecture in Thomas–Fermi–Dirac–von Weizsäcker Theory
• From atoms to crystals: a mathematical journey
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