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 calculate the magnetoconductivity tensor of a 2D electron gas in a 1D periodic potential and quantising magnetic fields. We study the internal structure of the Shubnikov-de Haas peaks and analyse recent experimental results. The electronelectron interaction is accounted for within a screened Hartree-Fock approximation (HFA), which describes both compressible strips and an exchange-enhanced s...

This paper is devoted to the Hartree-Fock model with temperature in the euclidean space. For large classes of free energy functionals, minimizers are obtained as long as the total charge of the system does not exceed a threshold which depends on the temperature. The usual Hartree-Fock model is recovered in the zero temperature limit. An orbital stability result for the Cauchy problem is deduced...

EJectron density distriiutions, derived from ap initio molecular wavefunttions, have been calculated for CNand SCNions. From these dynamic densities were calculated assuming-rigid body thermal. vibrations of the molecules. Comparison with the difference density in NaCN + 2&O, NaSCN and N&SCW, observed by X-ray diffraction, is fair. Remaining differences between theory and experiment are discuss...

We calculate the magnetization of the two-dimensional electron gas in a short-period lateral superlattice, with the Coulomb interaction included in Hartree and Hartree-Fock approximations. We compare the results for a finite, mesoscopic system modulated by a periodic potential, with the results for the infinite periodic system. In addition to the expected strong exchange effects, the size of th...

Ground-state deformations, binding energies, and potential energy surfaces have been calculated for eveneven dysprosium isotopes between 160Dy and 180Dy in the framework of density-dependent Hartree-Fock calculations with BCS pairing correlations. Further deformed Hartree-Fock with angular-momentum projection and band-mixing calculations explore the yrast spectra of the nuclides approaching the...

For the defocusing with 2 < γ < min(4, d), J. Ginibre and G. Velo [6] proved the global well-posedness and scattering results in the energy space. Later, K. Nakanishi [26] made use of a new Morawetz estimate to obtain the similar results for the more general functions V (x). Recently, the authors proved the global wellposedness and scattering for the defocusing, energy critical Hartree equation...

Closed-form expressions for the first three terms in the perturbation expansion of the exact energy and Hartree-Fock energy of the lowest singlet and triplet states of the Hooke's law atom are found. These yield elementary formulas for the exact correlation energies (-49.7028 and -5.807 65 mE(h)) of the two states in the high-density limit and lead to a pair of necessary conditions on the exact...

Two different approximation schemes for the self-consistent solution of the relativistic Brueckner-Hartree-Fock equation for finite nuclei are discussed using realistic One-Boson-Exchange potentials. In a first scheme, the effects of correlations are deduced from a study of nuclear matter and parameterized in terms of an effective σ, ω and π exchange. Employing this effective interaction rela-t...