Effects of the k µ k ν terms in the vector meson propagator Abstract In an approximation where the baryon current conservation is violated , the contribution of the k µ k ν terms in the vector meson propa-gator may not vanish. Their effects on the baryon and meson spectral functions and on the consequences of self-consistency are studied in the relativistic self-consistent Hartree-Fock approxim...

The self-consistent field method utilized for solving the Hartree-Fock (HF) problem and the closely related Kohn-Sham problem is typically thought of as one of the cheapest methods available to quantum chemists. This intuition has been developed from the numerous applications of the self-consistent field method to a large variety of molecular systems. However, as characterized by its worst-case...

A general theory for response properties is presented which is applicable to perturbations affecting the molecular basis set, notably nuclear derivatives. A perturbation-independent Fock space is introduced, and the necessary reorthonormalization of a truncated basis set after a perturbation is explicitly incorporated in the Hamiltonian. Explicit formulas for MCSCF firstand second-order propert...

The breathing-mode giant monopole resonance is studied within the framework of the relativistic mean-field (RMF) theory. Using a broad range of parameter sets, an analysis of constrained incompressibility and excitation energy of isoscalar monopole states in finite nuclei is performed. It is shown that the non-linear scalar self-interaction considerably. It is observed that dynamical surface pr...

We study the homogeneous interacting hole gas in p-doped bulk III-V semiconductors. The structure of the valence band is modelled by Luttinger’s Hamiltonian in the spherical approximation, giving rise to heavy and light hole dispersion branches, and the Coulomb repulsion is taken into account via a self-consistent Hartree-Fock treatment. As a nontrivial feature of the model, the self-consistent...

The rates of the electric quadrupole E2 and magnetic dipole M1 forbidden transitions in the ground configuration and some excited configurations of the Ti XIX ion have been calculated. The multiconfiguration Hartree Fock (MCHF) method has been used. The relativistic corrections are included in the Breit Pauli approximation. A detailed comparison of the present theoretical results with previous ...

We derive the Hamiltonian associated to a quantum stochastic flow by extending the Albeverio-Kurasov construction of self-adjoint extensions to finite rank perturbations of nonsemibounded operators to Fock space.

We present the code HF-SHELL for solving self-consistent mean-field equations configuration-interaction shell model Hamiltonians in proton-neutron formalism. The can calculate both ground-state and finite-temperature properties Hartree-Fock (HF), HF+Bardeen-Cooper-Schrieffer (HF+BCS), Hartree-Fock-Bogoliubov (HFB) approximations. Particle-number projection after variation is incorporated to red...

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...

The canonical front form Hamiltonian for non-Abelian SU(N) gauge theory in 3+1 dimensions is mapped non-perturbatively on an effective Hamiltonian which acts only in the Fock space of a quark and an antiquark. The approach is based on the novel method of iterated resolvents and on discretized light-cone quantization, driven to the continuum limit. It is free of the usual Tamm-Dancoff truncation...