The Scott correction and the quasi-classical limit
Méthodes semi-classiques Volume 2 - Colloque international (Nantes, juin 1991), Astérisque, no. 210 (1992), pp. 295-302.
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     author = {Simon, Barry},
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Simon, Barry. The Scott correction and the quasi-classical limit, dans Méthodes semi-classiques Volume 2 - Colloque international (Nantes, juin 1991), Astérisque, no. 210 (1992), pp. 295-302. http://archive.numdam.org/item/AST_1992__210__295_0/

[1] P. A. M. Dirac, Note on exchange phenomena in the Thomas atom, Proc. Camb. Philos. Soc. 26 (1930), 376-385. | DOI | JFM

[2] C. L. Fefferman and L. Seco, On the energy of a large atom, Bull. Amer. Math. Soc. 23 (1990), 525-530. | DOI | MR | Zbl

[3] E. Fermi, Un metodo statistico per la determinazione di alcune priorietà dell'atome. Rend. Accad. Naz. Lincei 6 (1927), 602-607.

[4] W. Hughes. Advances in Math. (to appear).

[5] V. Ja. Ivrii and I. M. Sigal, Asymptotics of the ground state energies of large Coulomb systems (to appear). | MR | Zbl

[6] E. H. Lieb, A lower bound for Coulomb Energies, Phys. Lett. A 70 (1979), 444-446. | DOI | MR

[7] E. H. Lieb and B. Simon, Thomas-Fermi theory revisited, Phys. Rev. Lett. 31 (1973), 681-683. | DOI

[8] E. H. Lieb and B. Simon, The Thomas-Fermi theory of atoms, molecules and solids, Advances in Math. 23 (1977), 22-116. | DOI | MR | Zbl

[9] M. Reed and B. Simon, Methods of Modern Mathematical Physics. IV. Analysis of Operators, Academic Press, 1978. | MR | Zbl

[10] J. Schwinger, Thomas-Fermi model: The second correction, Phys. Rev. A 24 (1981), 2353-2361. | DOI | MR

[11] J. M. C. Scott, The binding energy of the Thomas-Fermi atom, Philos. Mag. 43 (1952), 859-867. | DOI

[12] L. Seco, private communication.

[13] 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. | DOI | MR | Zbl

[14] B. Simon, Functional Integration and Quantum Physics, Academic Press, 1979. | MR | Zbl

[15] W. Thirring, A lower bound with the best possible constant for Coulomb Hamiltonians, Comm. Math. Phys. 79 (1981), 1-7. | DOI | MR

[16] L. H. Thomas, The calculation of atomic fields, Proc. Camb. Philos. Soc. 23 (1927), 542-548. | DOI | JFM