We analyse the ground-state density profiles of a cloud of ultracold fermions in a harmonic, cilindrically symmetric potential. We study in detail the BCS-BEC crossover as the fermion-fermion interaction strength varies. We evaluate the ground-state wavefunction in a mean field regime, expanding the wavefunction on a truncated harmonic-oscillator basis of eigenfunctions. We use LAPACK routines ...

Based on the Riemannand Caputo definition of the fractional derivative we use the fractional extensions of the standard rotation group SO(3) to construct a higher dimensional representation of a fractional rotation group with mixed derivative types. An extended symmetric rotor model is derived, which predicts the sequence of magic proton and neutron numbers accurately. The ground state properti...

We investigate the ground state of a system of interacting particles in small nonlinear lattices with M >or=3 sites, using as a prototypical example the discrete nonlinear Schrödinger equation that has been recently used extensively in the contexts of nonlinear optics of waveguide arrays and Bose-Einstein condensates in optical lattices. We find that, in the presence of attractive interactions,...

By means of first-principles calculations, we have systematically investigated the structural, elastic, vibrational, thermal and electronic properties of the ground-state phase for the intermetallic compound U2Mo. Our results reveal that the previously synthesized I4/mmm structure of U2Mo is a metastable phase and unstable, neither thermodynamically nor vibrationally at the ground state. In com...

We study language theoretical properties of the set of reducible ground terms and its complement the set of ground normal forms induced by a given rewriting system As a tool for our analysis we introduce the property of nite irreducibility of a term with respect to a variable and prove it to be decidable It turns out that this property generalizes numerous interesting properties of the language...

The ground state energy, hybridization matrix element, local moment and spin density correlations of a one dimensional, finite chain periodic symmetric Anderson model are obtained using numerical simulations and compared with perturbation theory and strong coupling results. We find that the local f-electron spins are compensated by correlation with other f-electrons as well as band electrons le...

The ground-state properties of a single-component one-dimensional Coulomb gas are investigated. We use Bose-Fermi mapping for the ground-state wave function which permits solution of the Fermi sign problem in the following respects: (i) the nodal surface is known, permitting exact calculations; and (ii) evaluation of determinants is avoided, reducing the numerical complexity to that of a bosoni...