We calculate ground state energies in the Brueckner-Hartree-Fock theory for N electrons with N 20 confined to a circular quantum dot and in presence of a static magnetic field. Comparison with the predictions of Hartree-Fock, local-spin-density and exact configuration-interaction theories is made. We find that the correlations taken into account in Brueckner-Hartree-Fock calculations give an im...

The role of higher Fock-state contributions to exclusive charmonium decays will be discussed. It will be argued that the J/ψ (ψ) decays into baryon-antibaryon pairs are dominated by the valence Fock-state contributions. P -wave charmonium decays, on the other hand, receive strong contributions from the ccg Fock states since the valence Fock-state contributions are suppressed in these reactions....

ABSTP,CT. A generalized Fock space is introduced as it was developed by Schmeelk [1-5], also Schmeelk and Takai [6-8]. The wavelet transform is then extended to this generalized Fock space. Since each component of a generalized Fock functional is a generalized function, the wavelet transform acts upon the individual entry much the same as was developed by Mikusinski and Mort [9] based upon earl...

The deterministic generation of non-classical states of light, including squeezed states, Fock states and Bell states, plays an important role in quantum information processing and exploration of the physics of quantum entanglement. Preparation of these non-classical states in resonators is non-trivial due to their inherent harmonicity. Here we use stimulated Raman adiabatic passage to generate...

We report on numerical studies of the influence of Coulomb interactions on localization of electronic wavefunctions in a strong magnetic field. Interactions are treated in the Hartree-Fock approximation. Localization properties are studied both by evaluating participation ratios of Hartree-Fock eigenfunc-tions and by studying the boundary-condition dependence of Hartree-Fock eigenvalues. We fin...

We present an efficient theory and algorithm for computing four-component relativistic Dirac-Fock wave functions using the Coulomb, Gaunt, and full Breit interactions. Our implementation is based on density fitting, and is routinely applicable to systems with 100 atoms and a few heavy elements. The small components are expanded using 2-spinor basis functions. We show that the factorization of 3...

It is well-known that in bulk, the solution of the Bogoliubov-de Gennes equations is the same whether or not the Hartree-Fock term is included. In this case the Hartree-Fock potential is position independent and, so, gives the same contribution to both the single-electron energies and the Fermi level (the chemical potential). Thus, the single-electron energy measured from the Fermi level (it co...

In this paper, we prove that, when the ne structure constant is small enough, the energy of the \ground state" of the Dirac-Fock model can be obtained by a nonlinear max-min principle. 1. The Dirac-Fock model. In 6] we proved that solutions of Dirac-Fock equations converge, in a certain sense, towards solutions of the Hartree-Fock equations when the speed of light tends to innnity. This limitin...