We define the Dirac-Fock current to hold the current conservation in the momentumdependent Dirac fields, and discuss its effect on the magnetic-moment in the nuclear matter. It is shown that the Dirac-Fock current can largely reduce the magneticmoment even in the isovector case, whose value has been too big due to the small effective mass in the usual relativistic Hartree approximation.

We discuss the meaning of renormalization used for deriving quadratic bosonic commutation relations introduced by Accardi [ALV] and find a representation of these relations on an interacting Fock space. Also, we investigate classical stochastic processes which can be constructed from noncommutative quadratic white noise. We postulate quadratic free white noise commutation relations and find the...

In this text, the protons are taken as an ensemble of Fock states. Using detailed balancing principle, some properties of intrinsic gluons and intrinsic sea quarks of proton involved statistics are gained without any parameter. A new origin of the light flavor sea-quark asymmetry is given here beside known models as Pauli blocking, meson-cloud, chiral-field, chiral-soliton and instantons. 12.40...

Spontaneous fission barriers, quadrupole inertia tensor, and zero-point quadrupole correlation energy are calculated for 252,256,258 Fm in the framework of the self-consistent Skyrme-Hartree-Fock+BCS theory. Two ways of computing collective inertia are employed: the Gaussian Overlap Approximation to the Generator Coordinate Method and cranking ansatz. The Skyrme results are compared with those ...

.......................................................................................................... 5 Chapter 1 – Introduction ............................................................................. 8 1.1 Carbon Nanomaterials ............................................................................................9 1.2 Applications of Carbon Nanotubes ..............................

Density dependent relativistic Hartree-Fock theory has been extended to describe properties of exotic nuclei. The effects of Fock exchange terms and of πand ρmeson contributions are discussed. These effects are found to be more important for neutron rich nuclei than for nuclei near the valley of stability. PACS: 21.10.Dr, 21.10.Gv, 21.60.Jz, 24.10.Jv

I comment on Ulvi Yurtsever’s result, which states that the entropy of a truncated bosonic Fock space is given by a holographic bound when the energy of the Fock states is constrained gravitationally. The derivation given in Yurtsever’s paper contains an subtle mistake, which invalidates the result. A more restrictive, non-holographic entropy bound is derived. PACS numbers: 04.70.-s, 03.67.-a

A generalization of A r statistics is proposed and developed. The generalized A r quantum statistics is completely specified by a set of Jacobson generators satisfying a set of triple algebraic relations. Fock-Hilbert representations and Bargmann-Fock realizations are derived.

The coupled cluster based linear response theory which is applicable to the direct calculation of atomic and molecular properties are presented and applied to compute the ionization potentials and excitation energies of light and moderately heavy atoms. The effect of electron correlation on the ground and excited states is studied using Hartree-Fock, Dirac-Fock and approximate two-component rel...