We present several examples where moments of creators and annihilators on an interacting Fock space may be realized as moments of creators and annihilators on a full Fock module. Motivated by this experience we answer the question, whether such a possibility exists for arbitrary interacting Fock spaces, in the affirmative sense. We treat the problem in full algebraic generality. As a by-product...

We present main points of some of Fock papers in Quantum Theory, which were not properly followed when published. Introduction Fock papers on Quantum Theory have quite different lifes in Physics. Some of them were immediately recognized with Fock name attached to them. Hartree-Fock approach, Fock space and Fock representation are very well known examples. Another ones were not properly used whe...

In this proceedings a particular example from [KMPY] is presented: the construction of the level 2 Fock space of Uq(ŝl2). The generating ideal of the wedge relations is given and the wedge space defined. Normal ordering of wedges is defined in terms of the energy function. Normally ordered wedges form a base of the wedge space. The q-deformed Fock space is defined as the space of semi-infinite ...

The role of power corrections and 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 suppres...

In this paper, the Hartree-Fock equations are proved to be the non relativistic limit of the Dirac-Fock equations as far as convergence of \stationary states" is concerned. This property is used to derive a meaningful deenition of \ground state" energy and \ground state" solutions for the Dirac-Fock model.

In this note we use Clifford algebras and their Fock representations to build representations of LU(N) and LSU(N). Let H be the Hilbert space of square-integrable sections of the trivial rank N complex vector bundle over S and P : H → H the projection onto the space spanned by non-negative Fourier modes. To this data we can associate the Fermionic Fock space FP . FP is a representation of level...

We study the asymptotic regularity of solutions of Hartree-Fock equations for Coulomb systems. In order to deal with singular Coulomb potentials, Fock operators are discussed within the calculus of pseudo-differential operators on conical manifolds. First, the non-self-consistent-field case is considered which means that the functions that enter into the nonlinear terms are not the eigenfunctio...