Non-existence of a minimizer to the magnetic Hartree-Fock functional

DOI10.1007/s11117-008-2127-9zbMath1159.81043OpenAlexW2166331437MaRDI QIDQ1007078

Mattias Enstedt, Michael Melgaard

Publication date: 27 March 2009

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-008-2127-9

zbMATH Keywords

PositivityIonizationKeywords: Magnetic Hartree-Fock equations

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) PDEs in connection with quantum mechanics (35Q40) Atomic physics (81V45) Integro-differential operators (47G20)

Related Items (4)

Abstract criteria for multiple solutions to nonlinear coupled equations involving magnetic Schrödinger operators ⋮ Existence of a solution to Hartree-Fock equations with decreasing magnetic fields ⋮ Unique solutions to Hartree-Fock equations for closed shell atoms ⋮ Existence of infinitely many distinct solutions to the quasirelativistic Hartree-Fock equations

Cites Work

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• Existence of a solution to Hartree-Fock equations with decreasing magnetic fields
• The ionization conjecture in Hartree-Fock theory
• Solutions of Hartree-Fock equations for Coulomb systems
• Existence theory for the Hartree equation
• Applied functional analysis. Main principles and their applications
• Thomas-fermi and related theories of atoms and molecules
• Schrödinger operators with singular magnetic vector potentials

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