2012 Issue №4

It is shown that the equations of Gurvitz and Mozyrsky for a system consisting of a qubit interacting with a fluctuating environment in certain conditions are reduced to evolution equations of the qubit. Such evolution equations for the qubit can be generalized to the form, which implies the existence of entangled states of the combined system. Among these entangled states two are symmetric, and two — antisymmetric. One symmetric state is stationary.

We study the Darboux and Laplace transformations for the Boiti — Leon — Pempinelli equations (BLP). These equations are the (1+2) generalization of the sinh-Gordon equation. In addition, the BLP equations reduced to the Burgers equation in a one-dimensional limit. Localized nonsingular solutions in both spatial dimensions and anti ”blow-up” solutions are constructed.

Traditionally, in experimental studies of the wave structure of the atmosphere determine the frequency of the waves. These data are generally insufficient to identify the type of wave disturbances as well as the spatial scale is not defined waves. Problems can be solved by applying the method of projection operators, which allows us to identify the contribution of certain types of waves in the observed wave field. This work presents a procedure for constructing the projection operators for the Poincare and Rossby planetary waves in the spherical atmosphere in the approximation of "shallow water". The proposed procedure allows to obtain the generalized form of the projection operator approach without the use of β-plane.

Results of processing of diffraction images of dot sources are presented by a method of the maximum credibility. It is shown that the permission of two dot sources can be better, than the Releevsky permission. Results of modeling calculations are presented.

We study discrete isospectral symmetries for the linear problem in spatial dimensions two, by developing a Darboux (Moutard) transformation formalism for this problem. As an application, we construct some singular and nonsingular integrable potentials (dielectric permitivity) for the Maxwell equations in a 2D inhomogeneous medium.

The ageing of nanocomposites (NCM) on the base of porous glasses with NaNO2 and NaNO3 embedded into pores has been studied. It is shown that storage of NCM at ambient conditions leads to creeping out of salts and recrystallization on sample surface. Space distribution of tin filled up the pores of porous glasses has been studied using a combination of ionic etching and Auger-spectroscopy.

In this paper it is investigated an influence of magnetic field characteristics (parameters and topology) of SPT using SPT-100 thruster model on efficiency of cathode-compensator operation while the cathode is translated. During investigations the comparison results of experiments and calculations suggests influence on efficiency of cathode-compensator operation either magnetic field topology or magnetic field induction in cathode position. It is founded a correlation between magnetic field induction in cathode position and thruster performance. It is determined assumptive magnetic field induction less as 30 Gauss in cathode position for better performance and requisite lifetime of thruster.

It has been found that in the synthesised hydrosol of silver plasmon resonance on lengths of waves λ = 430 nm has. It has been observed that in the presence of silver nanoparticles on a surface of silochrom increases the fluorescence of rhodamine 6G molecules. Fluorescence enhancement rhodamine 6G molecules in matrix of polyvinyl alcohol on the silver films received by electrodeposited reduction has been investigated. It is found that on rough silver films it is manifested plasmon resonance on lengths of waves of λ ~ 400 nm.

The results of investigation tests and comparative analysis of various low-power Electric Propulsion (EP) designed for their application as a part of electric propulsion systems (EPS) for small-sized spacecrafts are presented. Based on the analysis of main parameters and characteristics, the most prospective scheme of the EP design has been selected.