Physics, mathematics, and technology

The task is to define a function EH(λ), such that if { n  } are the points of the continuous spectrum of operator H and n λ  λ , then EH(λ) is defined and is non-zero.

A class of spatially localized solutions of Davey — Stewartson II equation is examined; it is shown that such solutions tend to lose the locality properties with time scale corresponding to a characteristic space scale of initial localization. The locality loss manifests itself with emergence of resonance spikes, whose total number is determined by the asymptotic behavior of support function on infinity. In particular, the exponentially localized perturbations split into an infinite number of the resonances.

In this paper we study the back-action of the quantum point contacton the state of a double quantum dot during the measurement process. To describe this action we introduce an auxiliary subsystem, which is in the entangled states with the original system. This model allowed us to estimate establishment of the steady state of the combined system «double quantum dot — quantum point contact», and identify it as a measurement time and estimate the errors of the qubit states detection.

On the basis of a method of the image of special points the hydrodynamic model of work of a water chink at sea coast in the presence of semicircular inclusion is received. For various cases working conditions of a chink without pollution are investigated.

The non-cyclic geometric phase of nuclear quadrupole resonance (NQR) signals, which is induced by the trajectory of nuclear magnetization motion upon the external pulse r. f. excitation, was studied. Analytical expressions for the geometric phases of NQR signals were obtained for the case of nuclei with spin I = 3/2. The powder sample of KClO3 was served as a material for experimental part of studies reported. It was proposed an alternative variant of the nutation experiment, which allows one to obtain the asymmetry parameter η on the base of locations of frequency singularities in the nutation phase spectrum.

On the basis of the analysis of principles of antennas’ system work on radiation the way of their operative emergency definition taken as a principle the developed device is developed. Introduction of a quantitative estimation of transmit system efficacy, will allow to solve a problem of automatic radio stations᾿ control under influence of negative factors.

The purpose of the work to make clear the influence emitter bipolar transistor spurious inductance on tuning frequency range, signal amplitude and noise-signal ratio of oscillator.

Calculation of level of losses of a radio signal of cellular communication in the conditions of a city with dense many-storeyed building on the basis of statistical models is resulted. On the basis of statistical look-ahead estimations of loss of capacity of a signal on an input of user's stations scientific directions of perfection of parameters of cellular communication can be developed.

The nonlinear process dynamic during the signal spreading in the optical lines is considered. The analysis of analytical solves of the equation system that obtained by consistent iterations and stationary phases method show about the "mass center" of signal spectral density displacement to the frequency, that simultaneously satisfy to the phase and group synchronism conditions.

The paper discusses the possibility of physical interpretation of the global ionosphere disturbances during geomagnetic storms, and after them, based on Poincare waves excited in the atmosphere under such conditions. The spectrum of the diurnal variations TEC perturbations were obtained for the midlatitude stations located in the European longitude sector. It is shown that in the spectrum of TEC variations are present harmonics with periods of the relevant standing planetary waves Poincare. Analysis of the latitudinal structure of amplitudes and periods of the harmonics shown a qualitative agreement with theoretical estimates for the Poincare waves.

The article presents anisotropic properties investigation of Fe3Si / MgO thin film structures with different growing conditions and Si content. Growing conditions and Si concentration parameters make an impact on shaping of induced magnetic crystalline anisotropy. Results of experiment data simulation allows to extract magnetic anisotropy constants, proved by known results for same structures.

In this work it is shown that application of the modified function of Morle as basic function of wavelet-transformation has allowed α to achieve by a choice of optimum parameter increase in the permission of the non-stationary signals of magnetic resonance, essential localization separate a component of a multicomponent signal and to raise the accuracy of definition of spectral parameters strongly noisy signals.

An expression for the radiated power through the slit of the constructed system leaky wave antenna is obtained. The equation of balance of power in the waveguide is evolved. The loss of the wave power from the waveguide through the slit is taken into account. To calculate the damping factor, the equation is obtained. The possibility of an approximate simplification of this equation is investigated.

The resistive-capacitive electric circuit is obtained to describe the processes of the wave transmission and of radiation in the antenna of leaky wave. The equivalent electric parameters of the circuit are estimated. The system of equations is composed to describe the electric processes in the equivalent circuit To study the balance of the wave power in the antenna of leaky wave, the calculations are performed.

The estimation of limiting sensitivity of digital holographic methods of measurements of a surface of movings is lead}. Influence of a degree of digitization of hardware on limiting the sensitivity of digital holographic measurements is analysed. Parameters of surface — acoustic waves with amplitudes of fluctuations less than 10 nanometers are experimentally investigated.

The complex of equipment developed for reception and processing of ionospheric signals is presented. The structure of pulse ionospheric signals received on a line Moscow — Kaliningrad is shown. Results of modeling researches of a method of processing of ionospheric signals are resulted.

The new method of processing of pulse ionospheric signals is presented. It is based on positions of the theory of optimum reception. However these positions are applied to difference to the equation received after transformation of the accepted message. The theory of a method of processing is presented, the results of modeling calculations illustrating efficiency of a method of processing are resulted.

Proposed project content of the laboratory practical work on atomic and quantum physics as a subsystem of professional education for future engineering physics.

A mixed derivatives influence in during three-dimensional simulation of ionosphere by difference methods is considered.

Moisture transport in soils under conditions of drainage on the basis of an agreed account of the capillary and the description of moisture transfer on porous surfaces is simulated.

The fundamental solution of a Cauchy problem and the spectral task for a one-dimensional Schrodinger equations with potential in the form of polynomials m P (x) (m  6) is solved. Numerical calculations are applied to modelling adiabatic potentials with two minima characteristic for a proton in compounds with intramolecular hydrogen bonds.

Client-side optimization methods are very efficient to improve performance of web resources of culture organizations. In comparison to server-side optimization these methods are related to frontend architecture only and can’t be achieved only with additional hardware.

General requirements of visualization systems and their role in scientific calculations are covered. The architecture and capabilities of Visualization Toolkit (VTK) are described. Input data formats and some calculation results are described. List of mature visualization systems used VTK is considered.

A new approach for evaluating the quality of University timetables is proposed. This approach uses a multicriterion expert system with two quality
indexes: the average penalty imposed on timetabling and highest penalty imposed on one of the constraints. The system based on a series of intelligible rules and use the algorithms of fuzzy logic for getting the final evaluation of timetabling was created. An algorithm for searching a set of Pareto optimal timetables based on the Pareto simulated annealing algorithm is constructed.