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On the energy of a large atom
Authors:
Charles L. Fefferman and Luis A. Seco
Journal:
Bull. Amer. Math. Soc. 23 (1990), 525-530
MSC (1985):
Primary 81G45, 81C15
MathSciNet review:
1056556
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References |
Similar Articles |
Additional Information
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Webster
Hughes, An atomic energy lower bound that agrees with Scott’s
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213–270. MR 1033078
(91c:81180), http://dx.doi.org/10.1016/0001-8708(90)90063-S
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L. Fefferman and L.
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(90e:81270), http://dx.doi.org/10.1073/pnas.86.10.3464
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L. Fefferman and Luis
A. Seco, Asymptotic neutrality of large ions, Comm. Math.
Phys. 128 (1990), no. 1, 109–130. MR 1042446
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(55 #1964)
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(83a:81081), http://dx.doi.org/10.1103/PhysRevA.24.2353
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L.
A. Seco, I.
M. Sigal, and J.
P. Solovej, Bound on the ionization energy of large atoms,
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MR
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Heinz
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Weikard, On the leading correction of the Thomas-Fermi model: lower
bound, Invent. Math. 97 (1989), no. 1,
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- 11.
H. Siedentop and R. Weikard, A lower bound of Scott type by a new microlocalization technique (to appear).
- 1.
- W. Hughes, Adv. Math, (to appear). MR 1033078
- 2.
- C. Fefferman and L. Seco, An upper bound for the number of electrons in a large ion, Proc. Nat. Acad. Sci. USA 88 (10) (1989), 3464-3465. MR 997636
- 3.
- C. Fefferman and L. Seco, Asymptotic neutrality of large ions, Comm. Math. Phys. 128 (1990), 109-130. MR 1042446
- 4.
- E. H. Lieb, A lower bound for coulomb energies, Phys. Let. 70A (1979), 444-446. MR 588128
- 5.
- E. H. Lieb, Thomas-Fermi and related theories of atoms and molecules, Rev. Modern Phys. 53 (4) (1981). MR 629207
- 6.
- E. Leib and B. Simon, Thomas-Fermi theory of atoms, molecules and solids, Adv. Math. 23 (1977), 22-116. MR 428944
- 7.
- J. Schwinger, Thomas-Fermi model: The second correction, Physical Review A24, vol. 5, Amer. Inst. Physics, New York, 1981, pp. 2353-2361. MR 635740
- 8.
- L. Seco, I. M. Sigal, and J. P. Solovej, Bound on the ionization energy of large atoms, Comm. Math. Phys. (to appear). MR 1065674
- 9.
- H. Siedentop and R. Weikard, On the leading energy correction for the statistical model of the atom: Interacting case, Comm. Math. Phys. 112 (1987), 471-490. MR 908549
- 10.
- H. Siedentop and R. Weikard, On the leading correction of the Thomas-Fermi model: Lower bound, Invent. Math. 97 (1989), 159-193. MR 999317
- 11.
- H. Siedentop and R. Weikard, A lower bound of Scott type by a new microlocalization technique (to appear).
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0273-0979-1990-15969-5
PII:
S 0273-0979(1990)15969-5
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