Free access
Issue
ESAIM: M2AN
Volume 45, Number 5, September-October 2011
Page(s) 803 - 824
DOI http://dx.doi.org/10.1051/m2an/2010103
Published online 23 February 2011
  1. E. Cancès, C. Le Bris and Y. Maday, Méthodes Mathématiques en Chimie Quantique. Springer (2006).
  2. H.-J. Flad, W. Hackbusch and R. Schneider, Best N-term approximation in electronic structure calculations. I. One-electron reduced density matrix. ESAIM: M2AN 40 (2006) 49–61. [CrossRef] [EDP Sciences]
  3. H.-J. Flad, W. Hackbusch and R. Schneider, Best N-term approximation in electronic structure calculations. II. Jastrow factors. ESAIM: M2AN 41 (2007) 261–279. [CrossRef] [EDP Sciences]
  4. S. Fournais, M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof and T. Østergard Sørensen, Sharp regularity estimates for Coulombic many-electron wave functions. Commun. Math. Phys. 255 (2005) 183–227. [CrossRef]
  5. S. Fournais, M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof and T. Østergard Sørensen, Analytic structure of many-body Coulombic wave functions. Commun. Math. Phys. 289 (2009) 291–310. [CrossRef]
  6. T. Helgaker, P. Jørgensen and J. Olsen, Molecular Electronic Structure Theory. John Wiley & Sons (2000).
  7. M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof and T. Østergard Sørensen, Electron wavefunctions and densities for atoms. Ann. Henri Poincaré 2 (2001) 77–100. [CrossRef] [MathSciNet]
  8. E.A. Hylleraas, Neue Berechnung der Energie des Heliums im Grundzustande, sowie des tiefsten Terms von Ortho-Helium. Z. Phys. 54 (1929) 347–366. [CrossRef]
  9. W. Kohn, Nobel lecture: Electronic structure of matter-wave functions and density functionals. Rev. Mod. Phys. 71 (1999) 1253–1266. [CrossRef]
  10. W. Kutzelnigg, r12-dependent terms in the wave function as closed sums of partial wave amplitudes for large l. Theor. Chim. Acta 68 (1985) 445–469. [CrossRef]
  11. W. Kutzelnigg and W. Klopper, Wave functions with terms linear in the interelectronic coordinates to take care of the correlation cusp. I. General theory. J. Chem. Phys. 94 (1991) 1985–2001. [CrossRef]
  12. C. Le Bris Ed., Handbook of Numerical Analysis, Computational Chemistry X. North Holland (2003).
  13. C. Le Bris, Computational chemistry from the perspective of numerical analysis. Acta Numer. 14 (2005) 363–444. [CrossRef] [MathSciNet]
  14. A.J. O'Connor, Exponential decay of bound state wave functions. Commun. Math. Phys. 32 (1973) 319–340. [CrossRef]
  15. J. Pople, Nobel lecture: Quantum chemical models. Rev. Mod. Phys. 71 (1999) 1267–1274. [CrossRef]
  16. J. Rychlewski Ed., Explicitly Correlated Wave Functions in Chemistry and Physics, Progress in Theoretical Chemistry and Physics 13. Kluwer (2003).
  17. H. Yserentant, On the regularity of the electronic Schrödinger equation in Hilbert spaces of mixed derivatives. Numer. Math. 98 (2004) 731–759. [CrossRef] [MathSciNet]
  18. H. Yserentant, The hyperbolic cross space approximation of electronic wavefunctions. Numer. Math. 105 (2007) 659–690. [CrossRef] [MathSciNet]
  19. H. Yserentant, Regularity and Approximability of Electronic Wave Functions, Lecture Notes in Mathematics 2000. Springer (2010).

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