@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}, publisher = {Soci\'et\'e math\'ematique de France}, number = {210}, year = {1992}, mrnumber = {1221364}, zbl = {0802.35129}, language = {en}, url = {http://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 - http://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 http://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. http://www.numdam.org/item/AST_1992__210__295_0/
[1] Note on exchange phenomena in the Thomas atom, Proc. Camb. Philos. Soc. 26 (1930), 376-385. | DOI | JFM
,[2] On the energy of a large atom, Bull. Amer. Math. Soc. 23 (1990), 525-530. | DOI | MR | Zbl
and ,[3] Un metodo statistico per la determinazione di alcune priorietà dell'atome. Rend. Accad. Naz. Lincei 6 (1927), 602-607.
,[4] Advances in Math. (to appear).
.[5] Asymptotics of the ground state energies of large Coulomb systems (to appear). | MR | Zbl
and ,[6] A lower bound for Coulomb Energies, Phys. Lett. A 70 (1979), 444-446. | DOI | MR
,[7] Thomas-Fermi theory revisited, Phys. Rev. Lett. 31 (1973), 681-683. | DOI
and ,[8] The Thomas-Fermi theory of atoms, molecules and solids, Advances in Math. 23 (1977), 22-116. | DOI | MR | Zbl
and ,[9] Methods of Modern Mathematical Physics. IV. Analysis of Operators, Academic Press, 1978. | MR | Zbl
and ,[10] Thomas-Fermi model: The second correction, Phys. Rev. A 24 (1981), 2353-2361. | DOI | MR
,[11] The binding energy of the Thomas-Fermi atom, Philos. Mag. 43 (1952), 859-867. | DOI
,[12] private communication.
,[13] On the leading energy correction for the statistical model of the atom: Interacting case, Comm. Math. Phys. 112 (1987), 471-490. | DOI | MR | Zbl
and ,[14] Functional Integration and Quantum Physics, Academic Press, 1979. | MR | Zbl
,[15] A lower bound with the best possible constant for Coulomb Hamiltonians, Comm. Math. Phys. 79 (1981), 1-7. | DOI | MR
,[16] The calculation of atomic fields, Proc. Camb. Philos. Soc. 23 (1927), 542-548. | DOI | JFM
,