@article{ASENS_1991_4_24_2_215_0, author = {Siedentop, Heinz and Weikard, Rudi}, title = {A new phase space localization technique with application to the sum of negative eigenvalues of {Schr\"odinger} operators}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {215--225}, publisher = {Elsevier}, volume = {Ser. 4, 24}, number = {2}, year = {1991}, doi = {10.24033/asens.1626}, mrnumber = {92d:81152}, zbl = {0762.47022}, language = {en}, url = {http://archive.numdam.org/articles/10.24033/asens.1626/} }
TY - JOUR AU - Siedentop, Heinz AU - Weikard, Rudi TI - A new phase space localization technique with application to the sum of negative eigenvalues of Schrödinger operators JO - Annales scientifiques de l'École Normale Supérieure PY - 1991 SP - 215 EP - 225 VL - 24 IS - 2 PB - Elsevier UR - http://archive.numdam.org/articles/10.24033/asens.1626/ DO - 10.24033/asens.1626 LA - en ID - ASENS_1991_4_24_2_215_0 ER -
%0 Journal Article %A Siedentop, Heinz %A Weikard, Rudi %T A new phase space localization technique with application to the sum of negative eigenvalues of Schrödinger operators %J Annales scientifiques de l'École Normale Supérieure %D 1991 %P 215-225 %V 24 %N 2 %I Elsevier %U http://archive.numdam.org/articles/10.24033/asens.1626/ %R 10.24033/asens.1626 %G en %F ASENS_1991_4_24_2_215_0
Siedentop, Heinz; Weikard, Rudi. A new phase space localization technique with application to the sum of negative eigenvalues of Schrödinger operators. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 24 (1991) no. 2, pp. 215-225. doi : 10.24033/asens.1626. http://archive.numdam.org/articles/10.24033/asens.1626/
[1] A Proof of Scott's Conjecture for Ions. [Rep. Math. Phys., (to appear).].
,[2] Wick and Anti-Wick Operator Symbols. (Math. U.S.S.R. Sbornik, Vol. 15, 1971, pp. 578-610). | MR | Zbl
,[3] An Atomic Energy Lower Bound that Gives Scott's Correction. (Ph. D. thesis, Princeton, Department of Mathematics, 1986).
,[4] An Atomic Lower Bound that Agrees with Scott's Correction. (Advances in Mathematics, 1990, pp. 213-270). | MR | Zbl
,[5] Thomas-Fermi and Related Theories of Atoms and Molecules (Rev. Mod. Phys., 53, 1981, pp. 603-604). | MR | Zbl
,[6] The Thomas-Fermi Theory of Atoms, Molecules and Solids. (Adv. Math., Vol. 23, 1977, pp. 22-116). | MR | Zbl
and ,[7] Inequalities for the Moments of the Eigenvalues of the Schrödinger Hamiltonian and their Relation to Sobolev Inequalities, in E. H. LIEB, B. SIMON and A. S. WIGHTMAN Ed., Studies in Mathematical Physics : Essays in Honor of Valentine Bargmann, Princeton University Press, Princeton, 1976. | Zbl
and ,[8] On Some Basic Properties of Density Functionals for Angular Momentum Channels. (Rep. Math. Phys., Vol. 28, 1986, pp. 193-218). | MR | Zbl
and ,[9] On the Leading Correction of the Thomas-Fermi Model : Lower Bound - with an Appendix by A. M. K. Müller. (Invent. Math., 97, 1989, pp. 159-193). | MR | Zbl
and ,[10] On the Leading Energy Correction for the Statistical Model of the Atom : Interacting Case. (Commun. Math. Phys., Vol. 112, 1987, pp. 471-490). | MR | Zbl
and ,Cité par Sources :