# Charge renormalization at the large-D limit for N-electron atoms and weakly bound systems

## Related Articles

- Relation between the Z-1 type expansion of the total energy of isoelectronic atoms and the many-electron theory on the electron correlation by SinanogË‡lu. Anno, Tosinobu; Teruya, Hirohide // Journal of Chemical Physics;7/1/1987, Vol. 87 Issue 1, p381
By applying the economical formula for the total energies of isoelectronic atoms presented by the present authors [J. Chem. Phys. 84, 6895 (1986)] to both the nonrelativistic exact energy and the Hartreeâ€“Fock energy, an expression of the Z-1 expansion type for the correlation energy is...

- Hartreeâ€“Fock approximation for D-dimensional two-electron atoms. Loeser, J. G.; Herschbach, D. R. // Journal of Chemical Physics;4/1/1986, Vol. 84 Issue 7, p3893
The Hartreeâ€“Fock method for two-electron atoms is generalized to spaces of arbitrary dimensionality. The problem is exactly soluble in two limiting cases, Dâ†’1 and Dâ†’âˆž, for any value of the nuclear charge Z. Numerical calculations of the ground-state energy are reported...

- Electron localizability indicator for correlated wavefunctions. II Antiparallel-spin pairs. Kohout, M.; Pernal, K.; Wagner, F. R.; Grin, Yu. // Theoretical Chemistry Accounts: Theory, Computation, & Modeling;Jun2005, Vol. 113 Issue 5, p287
The electron localizability indicator for anti parallel-spin pairs is closely associated with the correlation of the motion of opposite-spin electrons. At the Hartreeâ€“Fock level this functional is constant throughout the whole space, whereas for correlated wavefunctions structures...

- Approximation of Hartreeâ€“Fock Atomic Form Factors within the Shell Model. Korshunov, F. P.; Lazar, A. P. // Physics of Atomic Nuclei;Feb2003, Vol. 66 Issue 2, p416
On the basis of the shell model for the electron distribution in an atom, analytic expressions and approximations are constructed for relativistic Hartree-Fock atomic form factors. The proposed approach ensures a precision that is two to three times higher than that of approximations based on...

- Topology of electronâ€“electron interactions in atoms and molecules. I. The Hartreeâ€“Fock approximation. Cioslowski, Jerzy; Liu, Guanghua // Journal of Chemical Physics;11/8/1996, Vol. 105 Issue 18, p8187
Topologies of the electron intracule and extracule densities, I(R) and E(R), are analyzed. These topologies are found to be inherently more complex than those of the one-electron density. The main topological features of I(R) and E(R) are already present in the densities calculated within the...

- Calculation and interpretation of total energies in electron propagator theory. Ortiz, J. V. // Journal of Chemical Physics;10/1/1995, Vol. 103 Issue 13, p5630
Ground state total energies and one-electron density matrices can be calculated from contour integrals over the electron propagator. Ionization energies and corresponding Feynmanâ€“Dyson amplitudes are related simply to ground state properties. Total energy formulas derived from electron...

- Relativistic effect on total energies for determination of correlation energies of atoms from their experimental total energies. Anno, Tosinobu; Teruya, Hirohide // Journal of Chemical Physics;10/15/1989, Vol. 91 Issue 8, p4738
Relativistic effect Erel upon the total electronic energy of an atom is discussed with particular reference to obtaining the nonrelativistic total energy Eexact from the experimental total energy. Numerical values of this effect obtained by various authors by different nonempirical methods are...

- A reinterpretation of the nature of the Fermi hole. Ludeña, Eduardo V.; Ugalde, Jesus M.; Lopez, Xabier; Fernández-Rico, Jaime; Ramírez, Guillermo // Journal of Chemical Physics;1/8/2004, Vol. 120 Issue 2, p540
A reinterpretation of the Boydâ€“Coulson [R. J. Boyd and C. A. Coulson, J. Phys. B 7, 1805 (1974)] definition of the Fermi hole is presented. Through this reinterpretation, which makes no reference to the hypothetical Hartree level, we are able to show the essentially identical character of...

- Interelectronic moments of atoms in position and momentum spaces. Koga, Toshikatsu; Matsuyama, Hisashi // Journal of Chemical Physics;11/22/1997, Vol. 107 Issue 20, p8510
Discusses the calculation of interelectronic moments in position and momentum space of atomic systems within the Hartree-Fock framework. Structure of intracule density;Moments from characteristic function; Interelectronic moments in momentum space.