Quadratic pencil of Schrodinger operators with spectral singularities: Discrete spectrum and principal functions

In this article we investigated the spectrum of the quadratic pencil of Schrodinger operators L(lambda) generated in L-2(R+) by the equatio

Resonant raman scattering in complexes of nc-Si/SiO₂ quantum dots and oligonucleotides

We report on the functionalization of nanocrystalline nc-Si/SiO2 semiconductor quantum dots (QDs) by short d(20G, 20T) oligonucleotides. The obtained complexes have been studied by Raman spectroscopy techniques with high spectral and spatial resolution. A new phenomenon of multiband resonant light scattering on single oligonucleotide molecules has been discovered, and peculiarities of this effect related to the nonradiative transfer of photoexcitation from nc-Si/SiO2 quantum dots to d(20G, 20T) oligonucleotide molecules have been revealed

The color of soils as a basis for proximal sensing of their composition

The color is one of the main morphological properties of soils, as it integrally reflects their material composition. Most of the macro-, micro- and nano-morphological methods in pedology are based on the analysis of soil reflectance characteristics within the visible spectrum (i.e., soils color). The evolution of soil color study methods and the features of modern instruments are described in the report. The main directions in the development of this field of soil science as well as the achievements and problems to be addressed in the study of soil color are demonstrated by specific examples

Jost solutions and the spectrum of the system of difference equations

AbstractIn this paper, we investigate the analytical properties of the Jost solutions of nonself-adjoint system of difference equations of first order. Using the analytical properties of the Jost solutions, we also study the discrete spectrum of this system