Analysis of the Thomas-Fermi-von Weizsäcker equation for an infinite atom without electron repulsion

DOI10.1007/BF02029130zbMath0514.35074MaRDI QIDQ1051152

Elliott H. Lieb

Publication date: 1982

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

zbMATH Keywords

uniquenesspositive solutionThomas-Fermi-von Weizsäcker equationinfinite atom without electron repulsion

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Existence and uniqueness of positive solutions of semilinear elliptic equations with Coulomb potentials on \({\mathbb{R}}^ 3\), Proof of the strong Scott conjecture for heavy atoms: the furry picture, Goodisman's correction of the Thomas-Fermi-von-Weizsäcker theory of atoms, Existence et unicité de la solution positive de l'équation TFW sans répulsion électronique, Stability of atoms and molecules in an ultrarelativistic Thomas-Fermi-Weizsäcker model, Existence and unioueness of positive solutions for a semilinear elliptic equation on unbounded domains, Thomas-fermi and related theories of atoms and molecules, A statistical theory of heavy atoms: asymptotic behavior of the energy and stability of matter, Solutions of Hartree-Fock equations for Coulomb systems, Thomas-fermi and related theories of atoms and molecules

Cites Work

• The Thomas-Fermi-von Weizsäcker theory of atoms and molecules
• The Thomas-Fermi theory of atoms, molecules and solids
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Schrödinger operators with singular potentials
• On the eigenfunctions of many-particle systems in quantum mechanics
• Thomas-fermi and related theories of atoms and molecules
• Elliptic Partial Differential Equations of Second Order
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