In the limit of infinite spatial dimensions a thermodynamically consistent theory, which is valid for arbitrary value of the Coulombic interaction (U < ∞), is built for the Hubbard model when the total auxiliary single-site problem exactly splits into four subspaces with different “vacuum states”. Some analytical results are given for the Hartree-Fock approximation when the 4-pole structure for...

We study the dynamics of a Fermi gas with a Coulomb interaction potential, and show that, in a mean-field limiting regime, the dynamics is described by the Hartree-Fock equation. This extends previous work of Bardos et al. [3] to the case of unbounded interaction potentials. We also express the mean-field limit as a “superhamiltonian” system, and state our main result in terms of a Heisenberg-p...

A multi-configuration mixing approach built on essentially complex, symmetryprojected Hartree-Fock-Bogoliubov (HFB) mean fields is introduced. The mean fields are obtained by variation after projection. The configuration space consists out of the symmetry-projected HFB vacuum and the symmetry-projected twoquasiparticle excitations for even, and the symmetry-projected one-quasiparticle excitatio...

We define the new description of the electromagnetic current to hold the current conservation in the momentum-dependent Dirac fields from the Ward Takahashi identity. To describe the momentum-dependence we solve the relativistic Hartree-Fock approximation by using the one-pion exchange. In addition we discuss on contribution from the one-pion exchange current and the core polarization. It is sh...

Following the experimental discovery of the superdeformed(SD) band in Zn, we calculate several low-lying SD bands in neutron-deficient 30Zn isotopes using Relativistic Mean Field model. For comparison, we also perform nonrelativistic Skyrme-Hartree-Fock calculation of the SD bands in Zn. Both models give somewhat smaller moments of inertia than the observed ones, but we can see some qualitative...

Quasielastic electromagnetic and parity-violating electron scattering response functions of relativistic nuclear matter are reviewed. The roles played by the Hartree-Fock field and by nuclear correlations in the Random Phase Approximation (treated within the continued fraction scheme) are illustrated. The parity-violating responses of nuclei to polarized electrons are also revisited, stressing ...

Recently, an O(3) type of effective action was presented for the quantum Hall ferromagnet, which accounts for bag formation observed in microscopic Hartree-Fock calculations. We apply this action in the soliton sector and compare with Hartree-Fock results. We find good agreement over the whole parameter range where skyrmions exist. The standard minimal O(3) model cannot explain the bag and has ...

We consider the Hartree-Fock approximation of Quantum Electrodynamics, with the exchange term neglected. We prove that the probability of static electron-positron pair creation for the Dirac vacuum polarized by an external field of strength Z behaves as 1 − exp(−κZ2/3) for Z large enough. Our method involves two steps. First we estimate the vacuum expectation of general quasi-free states in ter...

Full three dimensional static and dynamic mean field calculations using collocation basis splines with a Skyrme type Hamiltonian are described. This program is developed to address the difficult theoretical challenges offered by exotic nuclei. Ground state and deformation properties are calculated using static HartreeFock, Hartree-Fock+BCS and constrained Hartree-Fock models. Collective propert...