Asymptotic behavior of the ground state of large atoms

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1. [1] Volker Bach. A proof of Scott's conjecture for ions. To be published, 1989. Zbl0732.58042
2. [2] Volker Bach and Heinz Siedentop. Universality of the Fermi-Hellmann model. To be published, 1989. Zbl0737.34042
3. [3] Rafael Benguria and Elliott H. Lieb. The most negative ion in the Thomas-Fermi-von Weizsäcker theory of atoms and molecules. J. Phys. B., 18:1054-1059, 1985. 
4. [4] C. L. Fefferman and L. A. Seco. Asymptotic neutrality of large ions. To Appear, 1989. Zbl0695.60098
5. [5] C. L. Fefferman and L.A. Seco. An upper bound for the number of electrons in a large ion. Proc. Nat. Acad. Sci. USA, 86:3464-3465, 1989. MR90e:81270
6. [6] E. Fermi. Eine statistische Begründung zur Bestimmung einiger Eigenschaften des Atoms und ihre Anwendungen auf die Theorie des periodischen Systems der Elemente. Z. Phys., 48:73-79, 1928. Zbl54.0984.02JFM54.0984.02
7. [7] E. Fermi. Un metoda statistico per la determinazione di alcune proprietà dell'atomo. Atti Reale Accademia Nazionale Dei Lincei, Rendiconti, Classe di Scienza fisiche, matematiche e naturali, 6:602-607, 1927. 
8. [8] Heinrich Hellmann. Ein kombiniertes Näherungsvefahren zur Energieberechnung im Vielelktronenproblem. II. Acta Pysicochim. U.S.S.R., 4:225-244, 1936. Zbl0014.33602
9. [9] Webster Hughes. An Atomic Energy Lower Bound that Gives Scott's Correction. PhD thesis, Princeton, Department of Mathematics, 1986. Zbl0715.46046
10. [10] Elliot H. Lieb. Bound on the maximum negative ionization of atoms and molecules. Phys. Rev. A, 29(6):3018-3028, June 1984. 
11. [11] Elliott H. Lieb. A lower bound for Coulomb energies. Phys. Lett., 70A:444-446, 1979. MR83g:82008
12. [12] Elliott H. Lieb. Thomas-Fermi and related theories of atoms and molecules. Rev. Mod. Phys., 53:603-604, 1981. Zbl1049.81679MR83a:81080a
13. [13] Elliott H. Lieb and Barry Simon. The Thomas-Fermi theory of atoms, molecules and solids. Adv. Math., 23:22-116, 1977. Zbl0938.81568MR55 #1964
14. [14] J. M. C. Scott. The binding energy of the Thomas-Fermi atom. Phil. Mag., 43:859-867, 1952. 
15. [15] Heinz Siedentop and Rudi Weikard. On some basic properties of density functionals for angular momentum channels. Rep. Math. Phys., 28:193-218, 1986. Zbl0644.46059MR90a:81196
16. [16] Heinz Siedentop and Rudi Weikard. On the leading correction of the Thomas-Fermi model : lower bound - with an appendix by A. M. K. Müller. To appear in Invent. Math., 1988. Zbl0689.34011
17. [17] Heinz Siedentop and Rudi Weikard. On the leading energy correction for the statistical model of the atom : interacting case. Commun. Math. Phys., 112:471-490, 1987. Zbl0920.35120MR89a:81022
18. [18] Heinz K. H. Siedentop and Rudi Weikard. On the Behavior of the Infimum of the Hellmann-Weizsäcker Functional. Technical Report, Institut für Mathematische Physik, Carolo-Wilhelmina, 3300 Braunschweig, Federal Republic of Germany, 1986. Zbl0644.46059
19. [19] Jan Philip Solovej. Universality in the Thomas-Fermi-von Weizsäcker Model of Atoms and Molecules. PhD thesis, Princeton, Department of Mathematics, 1989. 
20. [20] L. H. Thomas. The calculation of atomic fields. Proc. Camb. Phil. Soc., 23:542-548, 1927. Zbl53.0868.04JFM53.0868.04
21. [21] C. F. von Weizsäcker. Zur Theorie der Kernmassen. Z. Phys., 96:431-458, 1935. Zbl0012.23501
22. [22] Rudi Weikard. Hellmann- und Hellmann-Weizsäcker-Funktionale. PhD thesis, TU Carolo-Wilhelmina Braunschweig, Naturwissenschaftliche Fakultät, 1987.