Gradient corrections for semiclassical theories of atoms in strong magnetic fields

DOI10.1063/1.1415744zbMath1019.81017arXivmath-ph/0011050OpenAlexW3105733921MaRDI QIDQ2774750

Christian Hainzl

Publication date: 26 February 2002

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

Full work available at URL: https://arxiv.org/abs/math-ph/0011050

zbMATH Keywords

ground state energylowest Landau bandmagnetic Thomas-Fermi theoryScott correctionone-dimensional Fermi gasvon Weizsäcker term

Mathematics Subject Classification ID

Atomic physics (81V45) Many-body theory; quantum Hall effect (81V70) Statistical mechanics of solids (82D20) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (1)

Semiclassics in the lowest Landau band

Cites Work

• On the leading correction of the Thomas-Fermi model: Lower bound
• An atomic energy lower bound that agrees with Scott's correction
• Proof of the ionization conjecture in a reduced Hartree-Fock model
• The Thomas-Fermi-von Weizsäcker theory of atoms and molecules
• The Thomas-Fermi theory of atoms, molecules and solids
• Asymptotics of the ground state energies of large Coulomb systems
• Asymptotics of heavy atoms in high magnetic fields: I. Lowest landau band regions
• A discrete density matrix theory for atoms in strong magnetic fields
• Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics

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