Références
401
150. E.H. Lieb, Density Functional for Coulomb systems, Int. J. Quant. Chem. 24
(1983) 243–277.
151. E.H. Lieb, Bound on the maximum negative ionization of atoms and molecules,
Phys. Rev. A 29 (1984) 3018–3028.
152. E. H. Lieb, The stability of matter : from atoms to stars, Bull. A.M.S. 22 (1990)
1–49.
153. E.H. Lieb and B. Simon, The Hartree-Fock theory for Coulomb systems, Commun. Math. Phys. 53 (1977) 185–194.
154. E. H. Lieb and B. Simon, The Thomas-Fermi theory of atoms, molecules and
solids, Adv. in Math. 23 (1977) 22–116.
155. P.-L. Lions, Solutions of Hartree-Fock equations for Coulomb systems, Comm.
Math. Phys. 109 (1987) 33–97.
156. P.-L. Lions, Hartree-Fock and related equations, Nonlinear partial differential
equations and their applications, Collège de France Seminar Vol. 9 (1988)
304–333.
157. P.-L. Lions, Remarks on mathematical modelling in quantum chemistry, Computational Methods in Applied Sciences, Wiley 1996, 22–23.
158. P.O. Löwdin, Correlation problem in many-electron quantum mechanics, Adv.
Chem. Phys. 2 (1959) 207.
159. B. Luquin et O. Pironneau, Introduction au calcul scientifique, Masson 1996.
160. J.N. Lyness and R. Cools, A survey of numerical cubature over triangles, Proceedings of Symposia in Applied Mathematics 48 (1994) 127–150.
161. Y. Maday, A.T. Patera and G. Turinici, A priori convergence theory for
reduced-basis approximations of single-parameter elliptic partial differential
equations, J. Sci. Comput. 17 (2002) 437–446.
162. Y. Maday and G. Turinici, Analyse numérique de la méthode des variables
adiabatiques pour l’approximation de l’hamiltonien nucléaire, C. R. Acad. Sci.
Paris Série I 326 (1998) 397–402.
163. Y. Maday and G. Turinici, Error bars and quadratically convergent methods
for the numerical simulation of the Hartree-Fock equations, Numer. Math. 94
(2003) 739–770.
164. N.H. March, Electron density theory of atoms and molecules, Academic Press
1992.
165. D.A. Mazziotti, Realization of quantum chemistry without wave functions
through first-order semidefinite programming, Phys. Rev. Lett. 93 (2004)
213001.
166. R. McWenny, The density matrix in self-consistent field theory I. Iterative
construction of the density matrix, Proc. R. Soc. London Ser. A 235 (1956)
496–509.
167. R. McWeeny, Methods of molecular quantum mechanics, 2nd edition, Academic
Press 1992.
168. S.G. Mikhlin, Multidimensional singular integrals and singular operators, Pergamon Press 1965.
169. J.C. Nédélec and J. Planchard, Une méthode variationelle d’éléments finis pour
la résolution d’un problème extérieur dans IR
3 , RAIRO 7 (1973) 105–129.
401
150. E.H. Lieb, Density Functional for Coulomb systems, Int. J. Quant. Chem. 24
(1983) 243–277.
151. E.H. Lieb, Bound on the maximum negative ionization of atoms and molecules,
Phys. Rev. A 29 (1984) 3018–3028.
152. E. H. Lieb, The stability of matter : from atoms to stars, Bull. A.M.S. 22 (1990)
1–49.
153. E.H. Lieb and B. Simon, The Hartree-Fock theory for Coulomb systems, Commun. Math. Phys. 53 (1977) 185–194.
154. E. H. Lieb and B. Simon, The Thomas-Fermi theory of atoms, molecules and
solids, Adv. in Math. 23 (1977) 22–116.
155. P.-L. Lions, Solutions of Hartree-Fock equations for Coulomb systems, Comm.
Math. Phys. 109 (1987) 33–97.
156. P.-L. Lions, Hartree-Fock and related equations, Nonlinear partial differential
equations and their applications, Collège de France Seminar Vol. 9 (1988)
304–333.
157. P.-L. Lions, Remarks on mathematical modelling in quantum chemistry, Computational Methods in Applied Sciences, Wiley 1996, 22–23.
158. P.O. Löwdin, Correlation problem in many-electron quantum mechanics, Adv.
Chem. Phys. 2 (1959) 207.
159. B. Luquin et O. Pironneau, Introduction au calcul scientifique, Masson 1996.
160. J.N. Lyness and R. Cools, A survey of numerical cubature over triangles, Proceedings of Symposia in Applied Mathematics 48 (1994) 127–150.
161. Y. Maday, A.T. Patera and G. Turinici, A priori convergence theory for
reduced-basis approximations of single-parameter elliptic partial differential
equations, J. Sci. Comput. 17 (2002) 437–446.
162. Y. Maday and G. Turinici, Analyse numérique de la méthode des variables
adiabatiques pour l’approximation de l’hamiltonien nucléaire, C. R. Acad. Sci.
Paris Série I 326 (1998) 397–402.
163. Y. Maday and G. Turinici, Error bars and quadratically convergent methods
for the numerical simulation of the Hartree-Fock equations, Numer. Math. 94
(2003) 739–770.
164. N.H. March, Electron density theory of atoms and molecules, Academic Press
1992.
165. D.A. Mazziotti, Realization of quantum chemistry without wave functions
through first-order semidefinite programming, Phys. Rev. Lett. 93 (2004)
213001.
166. R. McWenny, The density matrix in self-consistent field theory I. Iterative
construction of the density matrix, Proc. R. Soc. London Ser. A 235 (1956)
496–509.
167. R. McWeeny, Methods of molecular quantum mechanics, 2nd edition, Academic
Press 1992.
168. S.G. Mikhlin, Multidimensional singular integrals and singular operators, Pergamon Press 1965.
169. J.C. Nédélec and J. Planchard, Une méthode variationelle d’éléments finis pour
la résolution d’un problème extérieur dans IR
3 , RAIRO 7 (1973) 105–129.