A rigorous modified Thomas–Fermi theory for atomic systems

DOI10.1063/1.527567zbMath0626.46066OpenAlexW2022596873MaRDI QIDQ3029620

Gisèle Ruiz Rieder, Jerome A. Goldstein

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527567

zbMATH Keywords

Marcinkiewicz spacecoupling constantEuler-Lagrange equation associated with the energy minimization problem for the unknown ground state electron densityextended Thomas-Fermi theoryFermi-Amaldi approximationParr-Gosh constraintweak \(L^ p\)-space

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Atomic physics (81V45) Quantum equilibrium statistical mechanics (general) (82B10) Variational principles of physics (49S05) Miscellaneous applications of functional analysis (46N99)

Cites Work

• The Thomas-Fermi theory of atoms, molecules and solids
• On some properties of the solution of the Thomas–Fermi problem

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