[en] Abstract only

[en] The equivalence of the cellular discrete and continuos medium versions of fluctuations in diffusion fluxes of particles is discussed and explicitly demonstrated

[en] We determine the degree of entanglement for two indistinguishable particles based on the tensor product structure, which is a framework for emphasizing entanglement founded on observational quantities. Our theory connects the canonical entanglement and entanglement based on occupation number for two fermions and for two bosons and shows that the entanglement measure, based on linear entropy, is closely related to the correlation measure for both the bosonic and fermionic cases. (letter to the editor)

[en] We develop an energy functional with shell-model occupations as the relevant degrees of freedom and compute nuclear masses across the nuclear chart. The functional is based on Hohenberg-Kohn theory with phenomenologically motivated terms. A global fit of the 17-parameter functional to 2049 nuclear masses yields a root-mean-square deviation of χ = 1.31 MeV. Nuclear radii are computed within a model that employs the resulting occupation numbers.

[en] We study the evaporation of black holes in space-times with extra dimensions of size L by employing the microcanonical picture of Hawking's radiation. We show that the luminosity is greatly damped when the horizon becomes smaller than L and black holes born with an initial size smaller than L are almost stable. This effect is due to the strong dependence of both the occupation number density of Hawking quanta and the greybody factor of a black hole on the dimensionality of space. Although the picture of what happens when the horizon shrinks to a size L is still incomplete, we argue that there might occur an outburst of energy which leaves a quasistable remnant

No abstract available

[en] Matrix elements of unitary group generators between spin-adapted antisymmetric states are shown to be proportional to spin matrix elements of so-called line-up permutations. The proportionality factor is given explicitly as a simple function of the orbital occupation numbers. If one bases the theory on ordered orbital products, the line-up permutations are given a priori. The final formulas have a very simple structure; this property is a direct consequence of the fact that the spin functions have been taken to be geminally antisymmetric. 1 table

No abstract available

[en] We describe an approach for finding the number squeezing for arrays of atoms in an optical lattice. It is based on a straightforward extension of the Bogoliubov method. We discuss the conditions for optimizing squeezing and how to predict what will be obtained in a given experiment. We consider using the method to deal with finite temperatures. The method also appears to be extensible to inhomogeneous and time-dependent systems. (author)

[en] We propose a new, deterministic method of solution of the nuclear Boltzmann equation. In this ''weighted particle method,'' two-body collisions are treated by a master equation for an occupation probability of each numerical particle. We apply the method to the quadrupole motion of ¹²C. A comparison with usual stochastic methods is made. Advantages and disadvantages of the weighted particle method are discussed