The problem of decomposition of the relativistic equations for two particles in powers of 1/c to higher orders. Salpeter equation-Breit for hermitian forms with interaction. Generating functions for the first iteration of the transformed hamiltonian.

The transformation of the relativistic two-particle Hamiltonian, containing members with different parity and even-even form in the order of 1/c4. A sequence of canonical transformations with the generating functions for particles with arbitrary masses.

The force on a macroscopic polarizable body in an inhomogeneous electromagnetic field is calculated for simple exactly solvable situations. Different approaches pinpoint possible pitfalls and resolve recent confusion about a force density in ferrofluids.

The leading order Foldy-Wouthuysen Hamiltonian. The Classical theory of Fields. The force experienced by a charged-particle with anomalous magnetic moment in presence of external fields. Approaches which have been used to address the question of a force.

Correlation between the central surface density of dark matter haloes and the halo core radius of galaxy and galaxy recently studied on a wide range of scales. The column density within the halo characteristic radius. The model and the S-M relation.

Rough, qualitative measurement of number of electrons in conduction band of metal - element. Explanation of factors, influencing formation of type of monocrystal matrix and sign of hall constant. Metallic Bond in Densest Packing (face-centered).

A time-dependent, force-free, degenerate electrodynamics as a hyperbolic system of conservations laws. A pair of fast waves propagating with the speed of light and a pair of Alfven waves. The upwind schemes for the electrodynamics of black hole.

Modern cosmological models describing the macrocosm. A comparative estimate of the maximum lifetime of a de Sitter universe obtained by the method of Don Page and made in the framework of string theory. Paradoxes of phantom energy and quantum mechanics.

Description of the method for solving the one-dimensional stationary Schrodinger equation. Fourier Transformation of the wave equation. The discrete energy levels. Analysis based on a quantum-well device. The functional dependence of the potential well.

Learning the basics feedback theory. Application of differential input, single-ended output amplifiers. Isolation amplifiers, which provide galvanic isolation between sections of a system. Operating principles of analog filters, audio/video amplifiers.

Two variants of the operative conditions of heat and power plants with technological schemes where heat pumps are used for utilizing the heat of exhaust gases of steam generators. System of the automatic control of frequency and power as power system.

The simulation of microscopic optical potential based on calculations of the one-particle Green function mass operator using the effective Skyrme nucleon-nucleon forces has been applied for analyzing powers of the elastic nucleon-nucleus scattering.

Mathematical models and algorithms of determination of power losses in an inhomogeneous electric networks caused of their interaction. A way to reduce these losses by means of linear regulators that are installed in the electric networks of low voltage.

Calculation of main electrical value and determination of isolation distances. Determination of the mass of the active part of the magnetic circuit, building materials and oil. Description of the design of transformers. Calculation of the HV winding.

It is considered the modular object-oriented dynamic learning environment Moodle which provides a full-fledged and modern study of disciplines, including mathematical ones, satisfying the various needs of teachers and students in the interactivity.

Development of optimization method for wind power stations using integral assessment of the object and the method of dynamic programming. The stability of the system, the percentage capacity increase. To determine the optimal structure of a wind station.

Разработка методики проведения p,p,T,x–измерений для гомогенных систем вода–спирт методом пьезометра постоянного объема. Построение диаграмм в различных сечениях термодинамической поверхности. Оценка изотермических изменений термодинамических функций.

Опис механічного стану речовини за допомогою відомих величин тиску, температури і об'єму. Математичні критерії критичного стану речовини. Розвиток теорії з питань опису властивостей газів і рідин. Ізотерми ідеального газу в системі координат P-V-Т.

Усилитель как элемент системы управления, предназначенный для усиления входного сигнала до уровня, достаточного для срабатывания исполнительного механизма, за счёт энергии вспомогательного источника. Oбoзнaчeниe бипoляpныx тpaнзиcтopoв нa cxeмax.

The non-relativistic particle tunneling and scattering through a spherical three-dimensional potential barrier (either rectangular, or Coulomb repulsion), containing a spherical potential rectangular well with a hard core inside, had been studied.

A numerical technique has been used slove the carrier transport equations for PbSnTe photodiode configurations. The model computes the spatial distribution of the electric field, electron concentrations and the generation-recombination of the mechanism.

Analysis of new information on solar-terrestrial relations obtained using the PC index of magnetic activity. Acquaintance with the features of the correlation between the Ekl and PC variations during magnetic substorms for the period from 1998 to 2017.

Оperating qualities of pin laminate of Cu - Mo used in low-voltage contactors outdoors. Performance of contactors with silver based contacts. Development of recommendations on effective application of such material to replace silver based compositions.

Challenges of biofuel production. The main characteristics of the liquid biofuels production and consumption. Development trends of biofuels production with crop raw material. Economic incentives at different stages of the value chain of liquid biofuels.

Structure-phase state, magnetic resistance investigation of Ni/Au/Ni film systems was carried out. Studying dimensional magnetic resistance. It was shown that in Ni/Au/Ni film systems is preferentially presents magnetic resistance in perpendicular pane.

The synergetic model of boundary friction - the system of equations for the stress, strain and temperature, describing the nontrivial behavior of the ultra thin lubricant film. The influence of shear modulus deformation defect on hysteresis phenomena.

Thermal treatment results in the formation of additional amorphous nanoclusters and in their crystallization with anneal temperature increasing. Nitride films annealed at 1200 °C contain crystalline Si clusters only. Characteristics of SiNx films.

Phase transition for US gauge field is considered. A lower bound of the phase transition temperature by comparing of the average energy for the perturbative and nonperturbative regimes is estimated. In a scalar model of glueball its energy is calculated.

Photocatalytic NaAuCl4 reduction by ethanol with participation of ZnO nanocrystals that results in the formation of gold nanocrystals with the mean size of 25–30 nm. Exceptional capability of gold nanocrystals to accumulate and retain negative charge.

Analysis of samples based on carbon. Structural and electrical properties of grapheme-based samples for application of these samples in solar panels. Application in the modeling of hybrid energy systems and modeling of current-current characteristics.