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 
@incollection{AST_1992__210__295_0,
     author = {Simon, Barry},
     title = {The {Scott} correction and the quasi-classical limit},
     booktitle = {M\'ethodes semi-classiques Volume 2 - Colloque international (Nantes, juin 1991)},
     series = {Ast\'erisque},
     pages = {295--302},
     year = {1992},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {210},
     mrnumber = {1221364},
     zbl = {0802.35129},
     language = {en},
     url = {https://www.numdam.org/item/AST_1992__210__295_0/}
}
TY  - CHAP
AU  - Simon, Barry
TI  - The Scott correction and the quasi-classical limit
BT  - Méthodes semi-classiques Volume 2 - Colloque international (Nantes, juin 1991)
AU  - Collectif
T3  - Astérisque
PY  - 1992
SP  - 295
EP  - 302
IS  - 210
PB  - Société mathématique de France
UR  - https://www.numdam.org/item/AST_1992__210__295_0/
LA  - en
ID  - AST_1992__210__295_0
ER  - 
%0 Book Section
%A Simon, Barry
%T The Scott correction and the quasi-classical limit
%B Méthodes semi-classiques Volume 2 - Colloque international (Nantes, juin 1991)
%A Collectif
%S Astérisque
%D 1992
%P 295-302
%N 210
%I Société mathématique de France
%U https://www.numdam.org/item/AST_1992__210__295_0/
%G en
%F AST_1992__210__295_0
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. https://www.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. | JFM | DOI

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

[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). | Zbl | MR

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

[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. | MR | Zbl | DOI

[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. | MR | DOI

[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. | MR | Zbl | DOI

[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. | MR | DOI

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