We investigated self-consistent spin-resolved local-field corrections in a spin-polarized electron gas. The local-field corrections, structure factors, and susceptibility functions form a self-consistent loop. Three different local-field corrections and structure factors each based on the Hartree-Fock structure factor, the Gori-Giorgi–Perdew pair correlation function, and self-consistent calcul...

Basis set convergence of the Hartree-Fock and the correlation energy is examined for the hydrogen bonded infinite bent chains (HF)∞ and (HCl)∞. We employ series of correlation consistent basis sets up to quintuple ζ quality together with a coupled cluster method (CCSD) to describe electron correlation on ab initio level. The Hartree-Fock energy converges rapidly with increasing basis set qualit...

It is shown that it is possible to construct an infinity of Fock spaces of flavor neutrinos depending on arbitrary unphysical mass parameters, in agreement with the theory of Blasone and Vitiello in the version proposed by Fujii, Habe and Yabuki. However, we show that these flavor neutrino Fock spaces are clever mathematical constructs without physical relevance, because the hypothesis that neu...

We study the stability of a two-component Bose-Einstein condensate (BEC) in the parameter regime in which its classical counterpart has regular motion. The stability is characterized by the fidelity for both the same and different initial states. We study as initial states the Fock states with definite numbers of atoms in each component of the BEC. It is found that for some initial times the tw...

Abstract. The identification of the ∗–Lie algebra of the renormalized higher powers of white noise (RHPWN) and the analytic continuation of the second quantized Virasoro– Zamolodchikov–w∞ ∗–Lie algebra of conformal field theory and high-energy physics, was recently established in [3] based on results obtained in [1] and [2]. In the present paper we show how the RHPWN Fock kernels must be trunca...

On the level-1 Fock space modules of the algebra U q ( b sl n ) we de ne a level-0 action U 0 of the U 0 q ( b sl n ), and an action of an Abelian algebra of conserved Hamiltonians commuting with the U 0 . An irreducible decomposition of the Fock space with respect to the level-0 action is derived by constructing a base of the Fock space in terms of the Non-symmetric Macdonald Polynomials. 1 e-...

The properties of hot matter are studied in the frame of the relativistic Brueckner-Hartree-Fock theory. The equations are solved self-consistently in the full Dirac space. For the interaction we used the potentials given by Brockmann and Machleidt. The obtained critical temperatures are smaller than in most of the nonrelativistic investigations. We also calculated the thermodynamic properties ...

An ab initio Hartree-Fock approach aimed at directly obtaining the localized orthogonal orbitals (Wannier functions) of a crystalline insulator is described in detail. The method is used to perform all-electron calculations on the ground states of crystalline lithium fluoride and lithium chloride, without the use of any pseudo or model potentials. Quantities such as total energy, x-ray structur...

We are interested in describing the set of values c = (cλ)λ∈Λ such that there exists some function f in a Fock space satisfying the condition f |Λ = c where Λ is a sequence that ‘just fails’ to be interpolating. While we shall prove our results in a more general context, we begin by introducing the problem in the classical Bargmann-Fock space, where the results are more easily digestible. We de...

In this paper, we use free field realisations of the A-type principal, or Casimir, WN algebras to derive explicit formulae for singular vectors in Fock modules. These singular vectors are constructed by applying screening operators to Fock module highest weight vectors. The action of the screening operators is then explicitly evaluated in terms of Jack symmetric functions and their skew analogu...