Tellurium Nanostructures Obtained by Thermal Evaporation Method

Crystallography Reports - Tellurium (Te) nanostructures have been obtained on glassy carbon substrates by thermal evaporation in an argon atmosphere. The sizes and shape of Te particles have been...     

Cancellation Problems and Dimension Theory

In this note, we study the global dimension of coalgebras and discuss the class of coalgebras of global dimension less or equal to 1. The coalgebras in this class, which contains all the cosemisimple coalgebras, are called hereditary coalgebras. If C is a finite dimensional coalgebra, then C is hereditary if and only if C (the convolution algebra of C) is a hereditary algebra. Any direct sum of hereditary coalgebras is hereditary too. This gives us many examples of infinite dimensional hereditary coalgebras. A coalgebra is left hereditary if and only if it is right hereditary. Moreover, there do not exist hereditary Hopf algebras of finite dimension which are not cosemisimple.     

On the convergence in mean of trigonometric Fourier series

We prove the sharpness of Zygmund’s theorem, which asserts that if a 2π-periodic function f belongs to L ln⁺ L, then its Fourier series is convergent in mean.     

Quasiclassical spectral series of an electron in an axialsymmetric electric field (construction of asymptotics)

Using the Maslov techniques, we construct quasiclassical asymptotics for the Dirac operator in an axial-symmetric focusing electric field, which correspond in the h O limit to two types of classical motion of an electron: a helical motion with small oscillations around an equilibrium orbit, and a motion along an arbitrary (open) orbit in the plane perpendicular to the axis of the particle's drift.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 67–72, September, 1989.     

Modeling of the localy-functional properties of the material damaged by fields of defects

It is shown that for Mindlin media with fields of defects there is an alternative interpretation allowing to describe the material affected by defects as equivalent functionally-gradient material with varying properties for coordinates, modeled in the classical theory of elasticity. We establish clear relationships for determining the properties of functionally graded materials by the solutions, taking into account the availability of fields of defects. It is shown that, in general, the properties of equivalent functionally-gradient material depend on the coordinates, as well as on the loading and boundary conditions.     

Some properties of the thermodynamics of ideal systems with nonlinear interactions

In this work we present a comparative study of the thermodynamic properties of two two-dimensional systems. One of them corresponds to a two-dimensional system of coupled harmonic oscillators, while the second is a nonlinear anharmonic oscillator. We present the spectrum for the harmonic oscillator and we present for the first time a calculation of the WKB spectrum and the wave functions for the nonlinear oscillator. We show that the Ω-potential has significantly different behavior in the high temperature region. This may be noted, for example, in a study of the temperature dependence of the specific heat in planar anisotropic media. State Institute of Radio Technology, Electronics, and Automation, Technical University, Moscow. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, Vol. 42, No. 1, pp. 8–17, January, 1999.     

Quasi-energy states and asymptotics uniform in time

It is shown that quasiclassical asymptotics uniform in time can be constructed for quantum systems with periodic Hamiltonian. Quasi-energy spectral series of states in an axially symmetric electromagnetic field and the field of a plane electromagnetic wave are constructed. Tomsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, pp. 24–30, No. 7, July, 1999.     

Rapid quantitative measurements of proteomes by Fourier transform ion cyclotron resonance mass spectrometry.

The patterns of gene expression, post-translational modifications, protein/biomolecular interactions, and how these may be affected by changes in the environment, cannot be accurately predicted from DNA sequences. Approaches for proteome characterization are generally based upon mass spectrometric analysis of in-gel digested two dimensional polyacrylamide gel electrophoresis (2-D PAGE) separated proteins, allowing relatively rapid protein identification compared to conventional approaches. This technique, however, is constrained by the speed of the 2-D PAGE separations, the sensitivity limits intrinsic to staining necessary for protein visualization, the speed and sensitivity of subsequent mass spectrometric analyses for identification, and the limited ability for accurate quantitative measurements based on differences in spot intensity. We are presently developing alternative approaches for proteomics based upon the combination of fast capillary electrophoresis, or other suitable chromatographic separations, and the high mass accuracy and sensitivity obtainable with unique Fourier transform ion cyclotron resonance (FTICR) mass spectrometers available at our laboratory. Several approaches are presently being pursued; one based upon the analysis of intact proteins and the second upon approaches for global protein digestion and accurate peptide mass analysis. Quantitation of protein/peptide levels are based on using two or more stable-isotope labeled versions of proteomes which are combined to obtain precise quantitation of relative protein abundances. We describe the status of our efforts towards the development of a high-throughput proteomics capability and present initial results for application to several microorganisms and discuss our efforts for extending the developed capability to mammalian proteomes.