@article{AIHPA_1992__57_1_47_0, author = {Benguria, Rafael and Hoops, Stefan and Siedentop, Heinz}, title = {Bounds on the excess charge and the ionization energy for the Hellmann-Weizsacker model}, journal = {Annales de l'I.H.P. Physique th\'eorique}, volume = {56}, year = {1992}, pages = {47-65}, mrnumber = {1176357}, zbl = {0762.35093}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPA_1992__57_1_47_0} }
Benguria, Rafael; Hoops, Stefan; Siedentop, Heinz. Bounds on the excess charge and the ionization energy for the Hellmann-Weizsacker model. Annales de l'I.H.P. Physique théorique, Tome 56 (1992) pp. 47-65. http://gdmltest.u-ga.fr/item/AIHPA_1992__57_1_47_0/
[1] Universality of the Fermi-Hellmann model, J. Mathematical Analysis and Applications, Vol. 157, (2), 1991, pp. 385-394. | MR 1112324 | Zbl 0737.34042
and ,[2] The von Weizsäcker and Exchange Corrections in the Thomas Fermi Theory, Ph.D. Thesis, Princeton, Department of Physics, June 1979.
,[3] The Most Negative Ion in the Thomas-Fermi-von Weizsäcker Theory of Atoms and molecules, J. Phys. B., Vol. 18, 1985, pp. 1054- 1059. | MR 786999
and ,[4] An Upper Bound for the Number of Electrons in a Large Ion, Proc. Nat. Acad. Sci. U.S.A., Vol. 86, 1989, pp. 3464-3465. | MR 997636
and ,[5] Asymptotic Neutrality of Large Ions, Commun. Math. Phys., Vol. 128, 1990, pp. 109-130. | MR 1042446 | Zbl 0695.60098
and ,[6] Thomas-Fermi and Related Theories of Atoms and Molecules, Rev. Mod. Phys., Vol. 53, 1981, pp. 603-641. | MR 629207 | Zbl 1049.81679
,[7] The Thomas-Fermi Theory of Atoms, Molecules and Solids, Adv. Math., Vol. 23, 1977, pp. 22-116. | MR 428944 | Zbl 0938.81568
and ,[8] On Some Basic Properties of Density Functionals for Angular Momentum Channels, Rep. Math. Phys., Vol. 28, 1986, pp. 193-218. | MR 941720 | Zbl 0644.46059
and ,[9] On the Leadng Energy Correction for the Statistical Model of the Atom: Interacting Case, Commun. Math. Phys., Vol. 112, 1987, pp. 471- 490. | MR 908549 | Zbl 0920.35120
and ,[10] On the Leading Correction of the Thomas-Fermi Model: Lower Bound-with an Appendix by A. M. K. Müller, Invent. Math., Vol. 97, 1989, pp. 159-193. | MR 999317 | Zbl 0689.34011
and ,[11] A New Phase Space Localization Technique with Application to the Sum of Negative Eigenvalues of Schrödinger Operators, Annales Scientifiques de l'École Normale Supérieure, Vol. 24, (2), 1991, pp. 215-225. | Numdam | MR 1097692 | Zbl 0762.47022
and ,[12] Fifteen Problems in Mathematical Physics, in Perspectives in Mathematics, Birkhäuser, 1984. | MR 779685 | Zbl 0576.00014
,[13] Universality in the Thomas-Fermi-von Weizsäcker model of atoms and molecules, Commun. Math. Phys., Vol. 129, 1990, pp. 561-598. | MR 1051505 | Zbl 0708.35071
,[14] Universality in the Thomas-Fermi-von Weizsäcker Model of Atoms and Molecules, Ph.D. Thesis, Princeton, Department of Mathematics, 1989. | MR 1051505
,[15] Proof of the Ionization Conjecture in a Reduced Hartree-Fock Model, Invent. Math., Vol. 104, 1991, pp. 291-311. | MR 1098611 | Zbl 0732.35066
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