The computational techniques in the quantum fieid theory are compared with the ordinary numerical methods in the system analysis, information management and processing. In the course of comparison, coinciding and partially coinciding computational principles and techniques in these sciences have been found. In addition, a number of features of the computational methods related only to the quantum field theory are observed. These features are noted to reflect the basic principles of the quantum field theory and the physics of elementary particles.

The analytical solution of the second Stokes problem for a Bose gas is found. The basic kinetic equation is obtained and its boundary conditions are derived. In the space of the generalized functions, there lies a solution of the characteristic equation. The structure of discrete and continuous spectra of the characteristic equation is investigated. Properties of the dispersion function are studied. Eigen solutions of the kinetic equation are found. The generalized solution of the boundary problem in the form of spectral decomposition under eigen solutions is constructed.

One-millimeter thick discs of Russian commercial silica glasses of KV type are implanted with W+ ions at an energy of 200 keV and a fluency density from 10¹⁵ to 2x10¹⁷ ions/ cm². RBS shows a Gaussian distribution of W ions with a maximum concentration at 80 nm from the surface. In the optical spectrum of the silica glass studied in the present work, the absorption bands at 710 nm and 1100 nm are observed. They can be assigned to W ions as well as the EPR spectrum consisting of the asymmetric line with g_II =1.593 and g_±=1.754. TEM data indicate the formation of almost spherical particles about 3 nm in diameter for the sample implanted at 10¹⁶ ions/cm².

We report the results of simulation of the dependence of the orientation-optical properties of liquid-crystal (LC) cells on splay and bend configuration deformations. We consider LC cells with arbitrary pre-tilt angles and different types of LC director distributions for the case of nematic LCs with different elasticity coefficients (K11^K33). For many practically important cases of neumatic LC cells with various K33/K11 ratios, the applicability of the one-constant approximation (K11 = K33) is specified.

Threshold breakdown of through holes upon irradiation of metallic foils by highpower laser radiation is considered as a response of the metallic system to laser radiation. Binding the experimentally determined response to the absolute temperature scale allows one to determine the value of the imaginary part of the generalized susceptibility as a function of temperature, the critical temperature of the ‘liquid metal - gas’ transition, the states of the electronic subsystems at this temperature, and the reflectance coefficient.

The magnetic induction in a direct metal wire of round section is calculated. The general case is considered when the relation of a free run length of electrons to the radius of a wire can accept arbitrary values. As boundary conditions of the problem, we accept the condition of mirror and diffusion reflection of electrons from the internal surface of the wire. The limiting case is considered and the obtained results are discussed.

We have developed a quasi-linear hydrodynamic theory of non-isothermal (T_e » Ti) collisional plasma placed in weak microwave electric field. It is assumed that the time of quasi-linear consideration does not exceed the time of the energy exchange of electronic components with the neutrals and Joule heating. In this sense the ground state of the system is ‘quasi-equilibrium’. Using the averaging over random phases, we have proved quasi-linear hydrodynamic equations for unsteady weakly ionized non-isothermal plasma placed in a microwave electric field. Collisions are taken into account through the Boltzmann collision integral. The equations are obtained for quasi-linear moments under conditions when the electron distribution function is close to Maxwellian.

The problem of studying the rotational motion of a soiid body in the physics course at a profile school is considered. It is proposed to supplement the study of the topic by elective courses in which special attention is paid to the solution of problems on kinematics, dynamics, and conservation laws for the description of plane motion of a solid body. Examples are given of solutions of problems, reflecting the stages of the formation of the method for finding an instantaneous center of velocities. We present ways of the students’ activity at the educational level of action.

We consider the methods of studying the scientific method of cognition of nature and the results of experimental practice in the propaedeutic course in physics. We describe works of different types, each of which has a characteristic. The purpose of the scientific method is to obtain scientific knowledge about natural objects and phenomena. Examples from the series of tasks of some research and development work are presented, which show their stages and activities of training during their execution.

This paper summarizes the experience of teaching the course of ‘Analytic geometry’ to students of a Technical University. The purpose and the application area of the course within the professional education are described. We show the importance of the discipline in the formation of a student's cognitive, creative and professional competencies. We present the methodological problems of teaching, the main ideas of their resolution, methods and techniques of teaching, organization of students' independent work, and pedagogical tools for goal achievement. We describe the most important issues arising as a result of the transition to the rating system of evaluation of educational achievements and possible ways of overcoming them.