On Thomas-Fermi-von Weizsacker and Hartree energies as functions of the degree of ionisation

DOI10.1088/0305-4470/17/8/015zbMath0541.49020OpenAlexW2062040519MaRDI QIDQ3327241

Bernhard Baumgartner

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1088/0305-4470/17/8/015

zbMATH Keywords

degree of ionisationHartree energiesThomas-Fermi-von Weizsäcker energies

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Methods involving semicontinuity and convergence; relaxation (49J45) Perturbation theories for operators and differential equations in quantum theory (81Q15) Variational principles of physics (49S05)

Related Items (10)

Derivation of Hartree's theory for generic mean-field Bose systems ⋮ Asymptotics for bosonic atoms ⋮ On the asymptotic decay of the Schrödinger-Newton ground state ⋮ New bounds on the maximum ionization of atoms ⋮ Bogoliubov Spectrum of Interacting Bose Gases ⋮ Ionization energies of bosonic Coulomb systems ⋮ The Hartree limit of Born's ensemble for the ground state of a bosonic atom or ion ⋮ Properties of the positive solution of a generalized Thomas-Fermi-von Weizsäcker equation ⋮ Bose gases in the mean-field regime: the theories of Hartree and Bogoliubov ⋮ On the number of bound states of a bosonic \(N\)-particle Coulomb system

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