Ground state solutions to Hartree–Fock equations with magnetic fields

DOI10.1080/00036811.2017.1370543zbMath1406.35311OpenAlexW2751119296MaRDI QIDQ4689864

Michael Melgaard, Carlos Argáez

Publication date: 22 October 2018

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2017.1370543

zbMATH Keywords

magnetic fieldsground statesZeeman effectHartree-Fock equations

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Molecular physics (81V55)

Cites Work

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• Stability of Matter in Magnetic Fields
• Existence of minimizers for Kohn–Sham within the local spin density approximation
• Fundamental Properties of Hamiltonian Operators of Schrodinger Type
• On the zero modes of Pauli operators

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