IKBFU's Vestnik

Physics, mathematics, and technology

Introduction

Theoretical physics

The conservation laws in the Euler problem about two attractive centers and the integration of the dynamic equations

Abstract

The article establishes that Euler’s problem of two attractive centres contains another conservation law alongside with the energy conservation
one, which is also quadratic in velocities. These conservation laws and elliptic coordinates considerably simplify the procedure of trajectory equations generation.

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Filtrational flows in the area, restricted by the sides of a rectangle

Abstract

The article uses the method of spatial point reflection for the definition of complex potentials of filtrational flows in an area limited by
rectangle. The article considers possible conditions and generates solutions in the form of infinite series. For point source the series are presented by means of the Jacobi theta-function or the Weierstrass sigmafunction.

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The interaction between an anticyclone and barrier

Abstract

The article considers the interaction of a two-dimensional anticyclone with a barrier and generates and solves its motion equation. The
authors claim that an anticyclone accelerates at the approach of the edge of a barrier forming an intensive stream. The article also offers
the streamline pattern analysis.

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The application of effective Hamiltonian method for open quantum system

Abstract

The article shows that the Lindblad Master Equation for finitedimensional Hilbert space can be presented as a Schrödinger Equation on a Hilbert space of greater dimension. This equation can be considered as an equation of the evolution of an integrated system consisting of two subsystems: observational and auxiliary ones. This equation allows solutions in the form of entangled states.

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The ionosphere effects from Poincare waves in the atmosphere

Abstract

The article focuses on the possibilities of physical interpretation of global ionosphere agitations in the period of elevated geomagnetic activity.
The authors offer a physical interpretation of this phenomenon based on the assumption about the agitation of planetary Poincare waves in atmosphere. The analysis of the space-time structure of these waves gives a credible explanation of the ionospheric dynamics under  observation.

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The bottom gravitational stream on inclined bottom in Ecmann approximation

Abstract

The article examines the deduction and the scope of the equation describing the dynamics of a thin layer of liquid over inclined bottom
in the framework of Eckman’s approach and obtains exact solutions in the form of travelling waves. The author makes a conclusion this equation
is non-integrable on the basis of Painlevé analysis.

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Radiophysics

Double nuclear quadrupole resonanse 14N in some nitrogen-contained matters

Abstract

The article analyses the peculiarities of indirect observation of NQR nitrogen signals and determines the conditions for the enhancement of
spin systems efficiency in static magnetic fields. It allows keeping records of the 14N spectra in the range below 1 MHz at room temperature.
This method may be used for researches on low isotope matters.

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Ferromagnetic resonance research of multilayer structures for magnetic tunnel junctions

Abstract

The article presents research on magnetic properties and magnetic interaction of a 3-layer ferromagnetic — insulator — ferromagnetic
nanoscale thin film structures by the ferromagnetic resonance method (FRM). The results proved by magnetic hysteresis measurement data
show FRM diagnostic possibilities for the functionality identification for multilayer structures for spintronics applications.

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The application of adaptive wavelet filtration for detection of signals of nuclear quadrupole resonanse

Abstract

The article presents a new approach to signal processing with low signal-to-noise ratio. The approach is based on preliminary statistical
analysis of the noise based on wavelet transform coefficients and the adaptive and threshold methods. Special attention is paid to the automatic
detection of the threshold on the basis of statistical noise properties parameters.

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Applied physics

Space technology

Laboratory practicum

Methodological bases to use of digital technologies for studying physicotechnical disciplines

Abstract

The article is dedicated to the methodological bases of the application of digital electronic technologies in engineering pedagogic on the
example of complex approach to teaching in the framework of electrodynamics processes in real and virtual digital spaces.

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