X iv : c on d - m at / 0 20 12 67 v 1 1 6 Ja n 20 02 Collisionless hydrodynamics for 1 D motion of inhomogeneous degenerate electron gases : equivalence of two recent descriptions

ar X iv : c on d - m at / 0 20 12 77 v 1 1 6 Ja n 20 02 Calculations of the Local Density of States for Some Simple Systems

A recently proposed convolution technique for the calculation of local densities of states (LDOSs) is described more thoroughly and new results of its application are presented. For separable systems the exposed method allows to construct the LDOS for a higher dimensionality out of lower dimensional parts. Some practical and theoretical aspects of this approach are also discussed. PACS 71.20.-b...

ar X iv : c on d - m at / 0 40 62 85 v 1 1 1 Ju n 20 04 Thermodynamic equivalence of certain ideal Bose and Fermi gases

We show that the recently discovered thermodynamic “equivalence” between noninteracting Bose and Fermi gases in two dimensions, and between one-dimensional Bose and Fermi systems with linear dispersion, both in the grand-canonical ensemble, are special cases of a larger class of equivalences of noninteracting systems having an energy-independent single-particle density of states. We also conjec...

ar X iv : c on d - m at / 0 30 12 85 v 1 1 6 Ja n 20 03 Polaronic Heat Capacity in The Anderson - Hasegawa Model

An exact treatment of the Anderson Hasegawa two site model, incorporating the presence of superexchange and polarons, is used to compute the heat capacity. The calculated results point to the dominance of the lattice contribution, especially in the ferromagnetic regime. This behavior is in qualitative agreement with experimental findings. PACS No. 63.20. Kr, 75.30. Et, 75.40.-s ∗Electronic addr...

l - th / 0 20 10 57 v 1 2 2 Ja n 20 02 Analytical E 1 strength functions of two – neutron halo nuclei : 11 Li and 14 Be

ar X iv : m at h / 02 01 22 7 v 1 [ m at h . SP ] 2 3 Ja n 20 02 D - S PROJECTION METHODS FOR DISCRETE SCHRÖDINGER OPERATORS

Let H be the discrete Schrödinger operator Hu(n) := u(n − 1) + u(n + 1) + v(n)u(n), u(0) = 0 acting on l(Z) where the potential v is real-valued and v(n) → 0 as n → ∞. Let P be the orthogonal projection onto a closed linear subspace L ⊂ l(Z). In a recent paper E.B. Davies defines the second order spectrum Spec2(H,L) of H relative to L as the set of z ∈ C such that the restriction to L of the op...