Asymptotic behavior of the ground state of large atoms
Siedentop, Heinz
Journées équations aux dérivées partielles, (1989), p. 1-10 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1989-01-01
@article{JEDP_1989____A10_0,
     author = {Siedentop, Heinz},
     title = {Asymptotic behavior of the ground state of large atoms},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     year = {1989},
     pages = {1-10},
     mrnumber = {90m:81170},
     language = {en},
     url = {http://dml.mathdoc.fr/item/JEDP_1989____A10_0}
}

Siedentop, Heinz. Asymptotic behavior of the ground state of large atoms. Journées équations aux dérivées partielles,  (1989), pp. 1-10. http://gdmltest.u-ga.fr/item/JEDP_1989____A10_0/

[1] Volker Bach. A proof of Scott's conjecture for ions. To be published, 1989. | Zbl 0732.58042

[2] Volker Bach and Heinz Siedentop. Universality of the Fermi-Hellmann model. To be published, 1989.

[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] C. L. Fefferman and L. A. Seco. Asymptotic neutrality of large ions. To Appear, 1989. | Zbl 0695.60098

[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. | MR 90e:81270

[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. | JFM 54.0984.02

[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] Heinrich Hellmann. Ein kombiniertes Näherungsvefahren zur Energieberechnung im Vielelktronenproblem. II. Acta Pysicochim. U.S.S.R., 4:225-244, 1936. | Zbl 0014.33602

[9] Webster Hughes. An Atomic Energy Lower Bound that Gives Scott's Correction. PhD thesis, Princeton, Department of Mathematics, 1986.

[10] Elliot H. Lieb. Bound on the maximum negative ionization of atoms and molecules. Phys. Rev. A, 29(6):3018-3028, June 1984.

[11] Elliott H. Lieb. A lower bound for Coulomb energies. Phys. Lett., 70A:444-446, 1979. | MR 83g:82008

[12] Elliott H. Lieb. Thomas-Fermi and related theories of atoms and molecules. Rev. Mod. Phys., 53:603-604, 1981. | MR 83a:81080a | Zbl 1049.81679

[13] Elliott H. Lieb and Barry Simon. The Thomas-Fermi theory of atoms, molecules and solids. Adv. Math., 23:22-116, 1977. | MR 55 #1964 | Zbl 0938.81568

[14] J. M. C. Scott. The binding energy of the Thomas-Fermi atom. Phil. Mag., 43:859-867, 1952.

[15] Heinz Siedentop and Rudi Weikard. On some basic properties of density functionals for angular momentum channels. Rep. Math. Phys., 28:193-218, 1986. | MR 90a:81196 | Zbl 0644.46059

[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. | Zbl 0689.34011

[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. | MR 89a:81022 | Zbl 0920.35120

[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.

[19] Jan Philip Solovej. Universality in the Thomas-Fermi-von Weizsäcker Model of Atoms and Molecules. PhD thesis, Princeton, Department of Mathematics, 1989.

[20] L. H. Thomas. The calculation of atomic fields. Proc. Camb. Phil. Soc., 23:542-548, 1927. | JFM 53.0868.04

[21] C. F. Von Weizsäcker. Zur Theorie der Kernmassen. Z. Phys., 96:431-458, 1935. | Zbl 0012.23501

[22] Rudi Weikard. Hellmann- und Hellmann-Weizsäcker-Funktionale. PhD thesis, TU Carolo-Wilhelmina Braunschweig, Naturwissenschaftliche Fakultät, 1987.