[en] Using Poisson's formula for summation, we obtain an expression for density of states of d-dimensional scalar Helmoholtz's equation under various boundary conditions. Likewise, we also obtain formulas of Walfisz's type. It becomes evident that the formulas obtained by Pathria et al. in connection with ideal bosons in a finite system are exactly the same as those obtained by utilizing the formulas for density of states. (author)

[en] We obtain a generalized Christoffel-Darboux (GCD) formula for skew-orthogonal polynomials. Using this, we present an alternative derivation of the level density and two-point function for Gaussian orthogonal ensembles and Gaussian symplectic ensembles of random matrices. (author)

[en] We exhibit an example of a one-dimensional discrete Schroedinger operator with an almost periodic potential for which the steps of the density of states do not belong to the frequency module. This example is suggested by the K-theory

[en] The hybrid s-p-d orbitals which describe exactly the bonds in 44 atom cluster of an amorphous silicon structural model are used as a basis for a tight-binding calculation of the density of states within the valence band of α-Si. (authors)

[en] Separate entries were made in the data base for 17 of the 19 papers included. Two papers were previously included in the data base. Workshop reports are included on (1) nuclear level density theories and nuclear model reaction cross-section calculations and (2) extraction of nuclear level density information from experimental data

No abstract available

[en] Nuclear state densities at high excitation energies are described in the model of independent fermions distributed over a finite set of single particle states generated by the mean potential, using the moment expansion method and the theory of statistical fluctuations. A comparison with exact combinatorial calculations for state densities and applications to specific problems is also discussed. (authors)

[en] A procedure to calculate the level density of highly excited nuclei is described. The continuum part is added to the bound single particle spectrum. The average number of nucleons placed in continuum is evaluated and they are associated with prompt particle emission. (Author)

[en] New results were derived from average level spacings of neutron resonances for the spin dispersion parameter of the nuclear level density, which demonstrated the influence of shell effects, as well as the interplay of nucleon pairing correlations for nuclei in the mass range from ²⁹Si to ²⁴¹Pu. The volume and surface components of the nuclear level density parameter, as well as the shell-damping factor, were determined as, a_v 0.076 ± 0.009 MeV^-1, a_s = 0.180±0.047MeV^-1, and γ₀ = 0.047 ±0.04MeV^-1, respectively. The effective nucleon mass at the Fermi surface is derived as m^*/m = 1.09±0.13. New evidence is presented for a dipole-quadrupole interaction term in the primary E1 transitions of average resonance capture data. This evidence is obtained by testing a proposed generalized Landau Fermi liquid model for spherical and deformed nuclei, which includes the effect of the dipole-quadrupole interaction. The Landau-Migdal interaction constant and the effective nucleon mass, are determined as F₀^' = 1.49 ± 0.08, and m^*/m = 1.04 ± 0.07, respectively. (author)

[en] Short communication