Asymptotic behavior of the ground state of large atoms
Journées équations aux dérivées partielles (1989), article no. 10, 10 p.
@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},
     eid = {10},
     pages = {1--10},
     publisher = {Ecole polytechnique},
     year = {1989},
     mrnumber = {90m:81170},
     language = {en},
     url = {http://www.numdam.org/item/JEDP_1989____A10_0/}
}
TY  - JOUR
AU  - Siedentop, Heinz
TI  - Asymptotic behavior of the ground state of large atoms
JO  - Journées équations aux dérivées partielles
PY  - 1989
SP  - 1
EP  - 10
PB  - Ecole polytechnique
UR  - http://www.numdam.org/item/JEDP_1989____A10_0/
LA  - en
ID  - JEDP_1989____A10_0
ER  - 
%0 Journal Article
%A Siedentop, Heinz
%T Asymptotic behavior of the ground state of large atoms
%J Journées équations aux dérivées partielles
%D 1989
%P 1-10
%I Ecole polytechnique
%U http://www.numdam.org/item/JEDP_1989____A10_0/
%G en
%F JEDP_1989____A10_0
Siedentop, Heinz. Asymptotic behavior of the ground state of large atoms. Journées équations aux dérivées partielles (1989), article  no. 10, 10 p. http://www.numdam.org/item/JEDP_1989____A10_0/

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

[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

[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

[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

[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

[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

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

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

[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 | Zbl

[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

[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 | Zbl

[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

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

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