Bounds on the excess charge and the ionization energy for the Hellmann-Weizsacker model

Rafael Benguria; Stefan Hoops; Heinz Siedentop

Annales de l'I.H.P. Physique théorique (1992)

  • Volume: 57, Issue: 1, page 47-65
  • ISSN: 0246-0211

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Benguria, Rafael, Hoops, Stefan, and Siedentop, Heinz. "Bounds on the excess charge and the ionization energy for the Hellmann-Weizsacker model." Annales de l'I.H.P. Physique théorique 57.1 (1992): 47-65. <http://eudml.org/doc/76578>.

@article{Benguria1992,
author = {Benguria, Rafael, Hoops, Stefan, Siedentop, Heinz},
journal = {Annales de l'I.H.P. Physique théorique},
language = {eng},
number = {1},
pages = {47-65},
publisher = {Gauthier-Villars},
title = {Bounds on the excess charge and the ionization energy for the Hellmann-Weizsacker model},
url = {http://eudml.org/doc/76578},
volume = {57},
year = {1992},
}

TY - JOUR
AU - Benguria, Rafael
AU - Hoops, Stefan
AU - Siedentop, Heinz
TI - Bounds on the excess charge and the ionization energy for the Hellmann-Weizsacker model
JO - Annales de l'I.H.P. Physique théorique
PY - 1992
PB - Gauthier-Villars
VL - 57
IS - 1
SP - 47
EP - 65
LA - eng
UR - http://eudml.org/doc/76578
ER -

References

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  1. [1] V. Bach and H. Siedentop, Universality of the Fermi-Hellmann model, J. Mathematical Analysis and Applications, Vol. 157, (2), 1991, pp. 385-394. Zbl0737.34042MR1112324
  2. [2] R. Benguria, The von Weizsäcker and Exchange Corrections in the Thomas Fermi Theory, Ph.D. Thesis, Princeton, Department of Physics, June 1979. 
  3. [3] R. Benguria and E.H. Lieb, The Most Negative Ion in the Thomas-Fermi-von Weizsäcker Theory of Atoms and molecules, J. Phys. B., Vol. 18, 1985, pp. 1054- 1059. MR786999
  4. [4] C.L. Fefferman and L.A. Seco, 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. MR997636
  5. [5] C.L. Fefferman and L.A. Seco, Asymptotic Neutrality of Large Ions, Commun. Math. Phys., Vol. 128, 1990, pp. 109-130. Zbl0695.60098MR1042446
  6. [6] E.H. Lieb, Thomas-Fermi and Related Theories of Atoms and Molecules, Rev. Mod. Phys., Vol. 53, 1981, pp. 603-641. Zbl1049.81679MR629207
  7. [7] E.H. Lieb and B. Simon, The Thomas-Fermi Theory of Atoms, Molecules and Solids, Adv. Math., Vol. 23, 1977, pp. 22-116. Zbl0938.81568MR428944
  8. [8] H. Siedentop and R. Weikard, On Some Basic Properties of Density Functionals for Angular Momentum Channels, Rep. Math. Phys., Vol. 28, 1986, pp. 193-218. Zbl0644.46059MR941720
  9. [9] H. Siedentop and R. Weikard, On the Leadng Energy Correction for the Statistical Model of the Atom: Interacting Case, Commun. Math. Phys., Vol. 112, 1987, pp. 471- 490. Zbl0920.35120MR908549
  10. [10] H. Siedentop and R. Weikard, 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. Zbl0689.34011MR999317
  11. [11] H. Siedentop and R. Weikard, 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. Zbl0762.47022MR1097692
  12. [12] B. Simon, Fifteen Problems in Mathematical Physics, in Perspectives in Mathematics, Birkhäuser, 1984. Zbl0576.00014MR779685
  13. [13] J.P. Solovej, Universality in the Thomas-Fermi-von Weizsäcker model of atoms and molecules, Commun. Math. Phys., Vol. 129, 1990, pp. 561-598. Zbl0708.35071MR1051505
  14. [14] J.P. Solovej, Universality in the Thomas-Fermi-von Weizsäcker Model of Atoms and Molecules, Ph.D. Thesis, Princeton, Department of Mathematics, 1989. Zbl0708.35071MR1051505
  15. [15] J.P. Solovej, Proof of the Ionization Conjecture in a Reduced Hartree-Fock Model, Invent. Math., Vol. 104, 1991, pp. 291-311. Zbl0732.35066MR1098611

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