We investigate the random matrix configurations for two or three interacting electrons in one-dimensional disordered systems. In a suitable non-interacting localized electron basis we obtain a sparse random matrix with very long tails which is different from a superimposed random band matrix usually thought to be valid. The number of non-zero off-diagonal matrix elements is shown to decay very ...

We identify contributions to the valence band of the nanosized BaFe12−2xCoxTixO19 barium ferrite particles, from the cobalt and titanium dopants. Resonant photoemission results show that cobalt and titanium dopants strongly hybridize with the barium ferrite matrix. Fano resonances are identifi ed in the valence band region, at the Ba (5s), Ti (3p) and Co (3p) thresholds, and there are signifi c...

A general approach to the non-expansive M band decomposition of finite length signals is presented. The technique is based on linear signal extensions and can be applied to all types of linear and non-linear phase M band perfect reconstruction filter banks. The signal expansion is described by a linear transformation on the input signal and the extended subband samples can be easily found using...

We identify contributions to the valence band of the nanosized BaFe12−2xCoxTixO19 barium ferrite particles, from the cobalt and titanium dopants. Resonant photoemission results show that cobalt and titanium dopants strongly hybridize with the barium ferrite matrix. Fano resonances are identifi ed in the valence band region, at the Ba (5s), Ti (3p) and Co (3p) thresholds, and there are signifi c...

In this article we present a method to determine the band spectrum, band gaps, and discrete energy levels, of a one-dimensional photonic crystal with localized impurities. For one-dimensional crystals with piecewise constant refractive indices we develop an algorithm to recover the refractive index distribution from the period map. Finally, we derive the relationship between the period map and ...

In this paper, we review estimation algorithms and applications of polarization orientation angle shifts induced by terrain slopes. We develop a unified analysis of estimation algorithms based on the circular polarization covariance matrix. The effect of radar frequency, scattering media, and polarimetric calibration will also be discussed. Applications to DEM generation, polarimetric SAR data ...

After reminding the de nition of mosaic ranks we estimate them from above for the inverses to band matrices The estimate grows logarithmically with the matrix size The result presented in this note should be compared with the well known descriptions of the inverses to band matrices as semisep arable matrices Our approach still excells in that it holds under much weaker assumptions Introduction ...

The propagation of light in nonperiodic quasicrystals is studied by ultrashort pulse interferometry. Samples consist of multilayer dielectric structures of the Fibonacci type and are realized from porous silicon. We observe mode beating and strong pulse stretching in the light transport through these systems, and a strongly suppressed group velocity for frequencies close to a Fibonacci band gap...

This paper presents the results of the research on the luminescence of cadmium sulfide nanocrystals (NCs) synthesized by colloid chemistry in a gelatinous matrix. The photostimulation of the short-wavelength emission band with λmax = 480 nm has been detected. It is shown that the determining factor of the photostimulation effect is the adsorption of the water molecules on the surface of NC. The...

We address the reduction to compact band forms, via unitary similarity transformations, for the solution of symmetric eigenvalue problems and the computation of the singular value decomposition (SVD). Concretely, in the first case we revisit the reduction to symmetric band form while, for the second case, we propose a similar alternative, which transforms the original matrix to (unsymmetric) ba...