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Table of contents for this issue | Previous article | Next article Fefferman, Charles L.; Seco, Luis A. The mathematics of large atoms. Journées équations aux dérivées partielles (1995), Art. No. 11, 12 p. Full text djvu | pdf | Reviews MR 1360480 stable URL: http://www.numdam.org/item?id=JEDP_1995____A11_0 Bibliography Article | MR 94f:81183 | Zbl 0802.47061 [CFS1] Córdoba, A., Fefferman, C., Seco, L., «A Trigonometric Sum relevant to the Non-relativistic Theory of Atoms» Proc. Nat. Acad. Sci. USA, Vol. 91, 5776-5778, June [CFS2] Córdoba, A., Fefferman, C., Seco, L., «Weyl Sums and Atomic Energy Oscillations» Revista Matemática Iberoamericana, Vol 11, no. 1. ( [CFS2] Córdoba, A., Fefferman, C., Seco, L., «A Number-Theoretic Estimate for the Thomas-Fermi Density» To appear. Zbl 0857.35105 [En] Englert, B. G. «Semiclassical Theory of the Atom» Springer Verlag Lecture Notes in Physics, vol 301. [FS1] Fefferman, C. and Seco, L. «The Ground-State Energy of a Large Atom» Bull. A.M.S., Vol 23 no. 2, 525-530, Article | MR 92a:81230 | Zbl 0722.35072 [FS2] Fefferman, C. and Seco, L. «Eigenvalues and Eigenfunctions of Ordinary Differential Operators» Adv. Math. Vol 95 no. 2, 145-305 ( [FS3] Fefferman, C. and Seco, L. «The Eigenvalue Sum for a One-Dimensional Potential» Advances in Math, Vol. 108 no. 2, Oct [FS4] Fefferman, C. and Seco, L. «The Density in a One-Dimensional Potential» Advances in Math., Vol 107 no. 2, Sep [FS5] Fefferman, C. and Seco, L. «The Eigenvalue Sum for a Three-Dimensional Radial Potential» To appear in Adv. Math. Zbl 0845.34086 [FS6] Fefferman, C. and Seco, L. «The Density in a Three-Dimensional Radial Potential» Advances in Math., Vol 111 no. 1, March [FS7] Fefferman, C. and Seco, L. «On the Dirac and Schwinger Corrections to the Ground-State Energy of an Atom» Advances in Math., Vol 107 no. 1, Aug [FS8] Fefferman, C. and Seco, L. «Aperiodicity of the Hamiltonian Flow in the Thomas-Fermi Potential» Revista Matemática Iberoamericana, Vol 9 no. 3, 409-551 ( [F1] Fefferman, C. «Atoms and Analytic Number Theory» A.M.S. Centennial Publication Vol. II ( [Fe] Fermi, E. ( [GS] Graf, G. M. and Solovej, J. P. «A Correlation Estimate with Applications to Quantum Systems with Coulomb Interactions» Reviews in Math. Phys. Vol 6, No 5a ( [GK] S. W. Graham and G. Kolesnik «Van der Corput's Method of Exponential Sums» Cambridge University Press. London Math. Soc. Lecture Notes Series, 126. MR 92k:11082 [HL] Heilmann and Lieb «Preprint.». [Hu] Hughes, W. «An Atomic Energy Lower Bound that Agrees with Scott's Correction.» Advances in Mathematics, 79, 213-270, [ILS] A. Iantchenko, E. Lieb and H. Siedentop «Proof of the Strong Scott Conjecture for Atomic and Molecular Cores» Preprint. [IS] Ivrii, V. and Sigal, I. M. «Asymptotics of the Ground State Energies of Large Coulomb Systems» Annals of Math. Vol. 138 no. 2, 243-335 ( [LS] Lieb, E. and Simon, B. ( [Li] Lieb, E. ( [Sch] Schwinger, J. ( [Sc] Scott, J. M. C. ( [SW1] Siedentop, H., Weikard, R. «On the Leading Energy Correction for the Statistical Model of the Atom: Interacting Case» Communications in Mathematical Physics 112 471-490 ( Article | MR 89a:81022 | Zbl 0920.35120 [SW2] Siedentop, H., Weikard, R. «On the Leading Correction of the Thomas-Fermi Model: Lower Bound» and an appendix by A.M.K. Müller. Inv. Math., Vol., 97, pp 159-193 ( Article | MR 90k:81285 | Zbl 0689.34011 [SW3] Siedentop, H., Weikard, R. ( Numdam | Zbl 0762.47022 [Th] Thomas, L. H. ( |
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