In their recent work Cooper and Ponec [Phys. Chem. Chem. Phys., 2008, 10, 13191329] proposed a “one-electron approximation to domain-averaged Fermi hole (DAFH)” used in electronic population studies. The goal of this comment is to note that the proposal had been already published within the framework of domain-restricted reduced density matrices (Ω-RDM) and to show that it cannot conceptually b...

Expression of the nucleon-nucleon interaction to order 1/NC in terms of Fermi Invariants allows a dynamical interpretation of the interaction and leads to a consistent construction of the associated interaction currents to order 1/NC . The numerically significant components of 4 different modern realistic phenomenological interaction models are shown to admit very similar meson exchange interpr...

One of the goals of NASA’s Fermi Gamma-ray Space Telescope (formerly GLAST) will be the detection of gamma rays from dark-matter annihilation in the Galactic halo. Theoretical arguments suggest that dark matter may be bound into subhalos with masses as small as 10 –10M . If so, it may be possible to detect individual subhalos as point sources in the Fermi Telescope. It has further been argued t...

We consider d=10 N=1 supersymmetry algebra with maximal number of tensor charges Z and introduce a class of orbits of Z, invariant w.r.t. the T8 subgroup of massless particles’ little group T8 ⋉ SO(8). For that class of orbits we classify all possible orbits and little groups, which appear to be semidirect products of T8 ⋉ SO(k1) × ...SO(kn) form, with k1 + ... + kn = 8, where compact factor is...

Using operator algebraic methods we show that the moment generating function of charge transport in a system with infinitely many non-interacting Fermions is given by a determinant of a certain operator in the one-particle Hilbert space. The formula is equivalent to a formula of Levitov in the finite dimensional case and may be viewed as its regularized form in general. Our result embodies two ...

Small-amplitude waves in the Fermi-Pasta-Ulam (FPU) lattice with weakly anharmonic interaction potentials are described by the generalized Korteweg-de Vries (KdV) equation. Justification of the small-amplitude approximation is usually performed on the time scale, for which dynamics of the KdV equation is defined. We show how to extend justification analysis on longer time intervals provided dyn...

Based on quantum hydrodynamics theory (QHD), the propagation of nonlinear quantum dust-ion acoustic (QDIA) solitary waves in a ‎collision-less, unmagnetized four component quantum plasma consisting of electrons, positrons, ions and stationary negatively charged ‎dust grains with dust charge variation is investigated using reductive perturbation method. The charging current to the dust grains ca...

The kinematical constraints on field theories in two space-time dimensions lead to many unusual effects which have no analogue in higher dimensions. Perhaps the strangest of these is the equivalence between large classes of Bose and Fermi field theories. This correspondence, which has been dubbed bosonization, provides a transparent unified method for solving two dimensional Fermi theories [ l*...

Even-even A'110 nuclei approaching the astrophysical r-process path have been investigated using both the cranked and the configuration-constrained shell models. The calculations show that, with increasing neutron number in the Z>40 nuclides, nuclear shapes evolve from prolate, through triaxial to oblate deformations. In contrast to other regions of the nuclear chart, pronounced oblate shapes d...