On Thomas-Fermi-von Weizsacker and Hartree energies as functions of the degree of ionisation
- 1 June 1984
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 17 (8) , 1593-1601
- https://doi.org/10.1088/0305-4470/17/8/015
Abstract
The properties of Thomas-Fermi-von Weizsacker energies as functions of the degree of ionisation are studied. A concavity result is established, which can be interpreted as a bound to the decrease of the ionisation energies. A numerical calculation of Hartree energies is described and the critical ionisation is numerically calculated as 1.21.Keywords
This publication has 7 references indexed in Scilit:
- Proof of the Stability of Highly Negative Ions in the Absence of the Pauli PrinciplePhysical Review Letters, 1983
- Thomas-fermi and related theories of atoms and moleculesReviews of Modern Physics, 1981
- The Thomas-Fermi-von Weizsäcker theory of atoms and moleculesCommunications in Mathematical Physics, 1981
- The Thomas-Fermi theory of atoms, molecules and solidsAdvances in Mathematics, 1977
- The Thomas-Fermi-Theory as result of a strong-coupling-limitCommunications in Mathematical Physics, 1976
- Existence and bounds for critical energies of the hartree operatorChemical Physics Letters, 1974
- General Theorem on Bifurcation and Its Application to the Hartree Equation of the Helium AtomJournal of Mathematical Physics, 1970