[en] Application of Time-dependent Hartree-Fock approximation to atomic collisions is reviewed. Merits and defects of the approach, progress to date and possible extension to new areas like muon capture by atoms are discussed. (Auth.)

[en] The TDHF method is half a century old. It may seem paradoxical that it now raises such a flurry of activity in nuclear theory. The reason for this, obviously, is the breakthrough which occurred a few years ago in terms of spectacular numerical solutions. In particular, these solutions exhibited an almost universal coverage of nuclear phenomena, ranging from elastic scattering to fusion, including dissipation and collective motion

[en] It is developed a simple formalism which allows us to perform a self consistent non-parametrized calculation in a non-periodic system, by finding out the thermodynamically averaged Green's function of a cluster Bethe lattice system. (Author)

No abstract available

[en] We extend earlier results concerning the existence of global solutions of the time-dependent Hartree equation by allowing the non-linear term to be of a more singular nature

[en] We prove a result in critical point theory, which enables us to prove the existence of infinitely many excited states for Hartree or Hartree-Fock equations, where we assume either that we have spherical symmetry, or that the total charge is large enough

[en] The nuclear shielding anisotropy and shielding tensor components calculated using the hybrid density functional B3PW91 are reported for a model set of compounds comprised of N₂, NH₃, CH₄, C₂H₄, HCN and CH₃CN. An estimation of density functional theory (DFT) and Hartree-Fock complete basis-set limit (CBS) parameters from a 2 (3) point exact fit vs. least-squares fit was obtained with the cc-pVxZ and aug-cc-pVxZ basis sets (x=D, T, Q, 5, 6). Both Hartree-Fock- and DFT-predicted CBS shielding anisotropies and shielding tensor components of the model molecules were in reasonable agreement with available experimental data. The utility of using a limited CBS approach for calculating accurate anisotropic shielding parameters of larger molecules as complementary methods to solid-state NMR is proposed.

[en] We study the magnetic Hartree equation with external fields to which magnetic Strichartz estimates are not necessarily applicable. We characterise the appropriate notion of energy space and in such a space we prove the global well-posedness of the associated initial value problem by means of energy methods only. (paper)

No abstract available

[en] We review the most important results of the extensive numerical work performed these last years. (orig./HSI)