Non-existence of a minimizer to the magnetic Hartree-Fock functional
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Publication:1007078
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
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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