Master degree program
Physics

Physics

QUALIFICATION

  • Scientific and pedagogical direction - Master of Natural Sciences

MODEL OF GRADUATING STUDENT

1.ON1 – to set, to obtain data with an estimate of measurement errors and interpret the results of the experiment in the fields of theoretical physics, thermal physics, plasma physics and medical physics;
2.ON2 – to explain the experimental data obtained using modern theories and the involvement of physical models, phenomena and processes;
3. ON3- freely operate with computer programs, mathematical and numerical methods for the compilation of models and calculations of phenomena and processes in the fields of theoretical physics, thermal physics, plasma physics and medical physics;
4. ON4- to build graphs, dependencies of various parameters of physical systems;
5. ON5- to critical to evaluate the results of calculations, research and experiments, to make a report on the work performed;
6. ON6 - to substantiate the scientific results on a specific physical problem in order to achieve joint goals and accomplish tasks;
7. ON7 - effectively demonstrate the skills and express in the most digestible form of their knowledge to the audience;
8. ON8-to use modern educational technology and take into account the psychological and age characteristics of the audience when presenting materials;
9. ON9-to evaluate learning outcomes using modern technologies;
10. ON10- to organize and motivate students to obtain optimal learning outcomes;
11. ON11- to use distance learning technologies with the use of innovative techniques.
ON12-to understand the nature and social significance of their future profession, to show a steady interest in it, to achieve the proper level of physical fitness necessary for the development of professional skills in the process of learning in the university.

Program passport

Speciality Name
Physics
Speciality Code
7M05308
Faculty
of Physics and Technology

disciplines

Approximate Methods in Theoretical Physics
  • Number of credits - 5
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose is to form the ability to develop algorithms for solving physical equations and perform calculations with modern computer packages and programs. Formation of knowledge on numerical methods for solving physical problems and their computer implementation; computer-oriented methods for solving systems of equations; the use of computer programs to present the final results of solving the set physical problems; the Gauss method; the Monte Carlo method.

Basic Principles of Modern Physics
  • Number of credits - 5
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline Statement of basic principles of modern physics, connections of symmetries of physical systems relatively to different transformations of space-time coordinates with conservation laws. To give the master students a deep understanding of regularities of physical phenomena. A master student is to get a clear representation about basic principles of modern physics. Within the framework of this discipline, the following will be studied: the principle of relativity; Galileo and Lorentz transformations; equations of physics in covariant form; the principle of symmetry, superposition, the principle of uncertainty; the principle of correspondence; the law of conservation of energy and uniformity of time; the laws of conservation of momentum and momentum of motion; mirror symmetry of space and the law of conservation of parity; the principle of indistinguishability of identical particles and particle statistics; charge independence of strong interactions; basic principles of modern physics.

Computer Modeling fo Multiparticle Systems
  • Number of credits - 5
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of studying of the discipline is to form master students' ideas about the methods, goals and objectives of computer simulation of many-particle systems; to acquaint master students with modern methods of computer modeling of classical and quantum multiparticle systems, the ability to calculate the physical properties and characteristics of multiparticle systems; During the study of the discipline students of Master's degree will learn following aspects: Theoretical methods for analyzing and solving nonlinear, differential, integral equations that describe various processes in a plasma. Creation of models of physical objects, phenomena, processes in plasma. Monte Carlo methods, molecular dynamics and quasiparticles. Implement these methods on specific tasks. To get know students with basic numerical methods of mathematical simulation of processes in plasma, advantages and disadvantages of each one, compare and show applicability of numerical methods, to train skills of using numerical methods for solving tasks in plasma physics.

Foreign Language (professional)
  • Number of credits - 5
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is to form practical skills in various types of speech activity in a foreign language. The training course builds the ability to perceive, understand and translate information in the modern global space, participate in scientific events to test their own research. The discipline is aimed at improving competencies in accordance with international standards of foreign language education.

History and Philosophy of Science
  • Number of credits - 3
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is to form a holistic systemic understanding of philosophy as a special form of cognition of the world, its main sections, problems and methods of their study in the context of future professional activity. The training course forms the theoretical and methodological basis of research work.

Introduction to the Quantum Theory of a Field
  • Number of credits - 5
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is to form the basic concepts of quantum field theory, which are actively used in theoretical physics and the basis for a theoretical understanding of the physical structure of quantum fields. Within the framework of this discipline, the main provisions of the classical Yang-Mills field theory and quantum field theory, quantization of gauge fields and the formalism of perturbation theory for constructing appropriate Feynman diagrams, the phenomena of asymptotic freedom and confinement, the basics of the theory of electroweak interactions (Standard Model) will be studied.

Nuclear Astrophysics
  • Number of credits - 5
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is to form students' knowledge of the modern problem of astrophysics and nuclear reactions in stellar matter. The discipline is aimed at studying the problems of the evolution of the Universe, nucleosynthesis and cosmochronology from the point of view of nuclear and elementary particle physics. The processes occurring in the Universe are compared with the mechanisms of formation and decay of nuclei, as well as their interaction at high energies. The study of the possibilities of nuclear physics methods in the exploration of the universe.

Organization and Planning of Scientific Research (in English)
  • Number of credits - 5
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline to form the ability to apply practical skills in the organization and planning of scientific research. The discipline studies: forms and methods of planning, organization and design of scientific articles and dissertations; forms of summarizing the results of scientific research in presentations, speeches, projects, articles.

Organization and Planning of Scientific Researches
  • Number of credits - 5
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The discipline is aimed at developing the skills necessary for planning and conducting high-quality and competitive scientific research. The training course forms the theoretical and methodological basis of the process of scientific research, their goals, objectives, stages of implementation, as well as areas of application of the results. The discipline is aimed at studying the foundations of the scientific method, the methodology for conducting literary and experimental research, the rules for preparing and reviewing scientific publications and projects.

Pedagogy of Higher education
  • Number of credits - 5
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose: mastering the basics of professional and pedagogical culture of higher school teacher, the formation of competencies, skills and teaching of pedagogical activity. Will be studied: includes pedagogical axiological foundations (teaching, education, methodology, research), methodological, innovative technologies, pedagogical tact, rules of ethics, strategies and methods of educational activities of the university, the place of pedagogy in the modern scientific paradigm, new scientific facts in the context of the humanities.

Psychology of management
  • Number of credits - 3
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is to provide scientific training of highly qualified specialists based on the study of fundamental concepts of management psychology, creating prerequisites for a theoretical understanding and practical application of the most important aspects of the field of management in the process of professional formation. The course is aimed at studying the patterns of development and functioning of mental processes, the basics of effective interaction and conflict resolution, self-development and self-presentation.

Psychology of management
  • Number of credits - 3
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is to form the ability to explain the fundamental concepts of management psychology, to identify the prerequisites for the theoretical and practical application of aspects of the management sphere in the process of professional development. The training course forms an understanding of modern ideas about the psychology of managing group phenomena and processes. Discipline is aimed at studying the basic principles of management psychology, personality in management interactions, management of personal behavior.

Data for 2021-2024 years

disciplines

3D simulation of reacting flows and Experimental Methods
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is to explain to the undergraduates the processes of convective heat and mass transfer occurring during the combustion of gaseous, solid and liquid fuels, to teach the calculations of the main parameters of the combustion process and the composition of combustion products, to tell about the geometry of the combustion chamber of a specific energy facility and the chemical kinetics of the processes in it, to learn how to use modern software of 3D modeling of physical and chemical processes. During the study of the discipline students of Master's degree will learn following aspects: Physical and mathematical classification of differential equations; presentation methods of differential equations in finite differences; the notion of approximation, stability and convergence of finite difference schemes; research methods on their sustainability; explicit and implicit methods for solving partial differential equations; algorithms for the calculation of explicit and implicit schemes; Examples of explicit and implicit schemes; "Approximation" or "the circuit" viscosity; the advantages and disadvantages of explicit and implicit schemes; Combined scheme; splitting principle; to show the importance of studying such flows for the various industries, including in power and the environment.

Bioinformatics
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is to form the ability to use computer technologies for scientific research in the field of medical physics and knowledge of the basic methods and software tools necessary for understanding biological data, familiarity with the methods of modeling biological objects and various approaches that are used to create models of complex biological systems and processes. Within the framework of the discipline, the following will be studied: the basic principles of bioinformatics in relation to problems in medical physics; classification of various bioinformatics methods, features and limitations of these methods; modern technologies in solving bioinformatics problems; principles of operation of various computer software systems used for bioinformatics research.

Collisional processes in a dense plasma
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline – study of elementary processes in partially ionized plasma and their practical importance in the creation of gas lasers and other installations During the study of the discipline master students will learn following aspects: - collisional processes in dense plasma; features of the nature of collisions in the long-range Coulomb interaction of colliding particles; - can explore collision processes using the methods studied in this course; integrate the equations to find the cross sections for elastic and inelastic scattering; possess the skills to use computer programs for graphic construction of scattering sections.

Computer Modeling in Medical Physics
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is to teach computer simulation skills of physical processes using various application programs, as well as develop practical modeling skills; During the study of course, master students should be competent in: 1. demonstrate the knowledge gained in computer modeling in medical physics in relation to the tasks of medical diagnostics and therapy; 2. to classify various methods of processing signals and images in medicine, the features and limitations of these methods; 3. to use modern technologies in solving problems of processing signals and images in medicine; 4. solve scientific and practical problems of processing signals and images in medicine; 5. analyze and implement the results obtained by different methods from the point of view of the physical principles underlying the processing of signals and images in medicine; 6. to assess modern problems in the processing of signals and images in medicine, the solution of which is now actual and widely discussed in the international scientific community; 7. to discuss the operation principle of various devices for processing signals and images in medicine. 8. to prove in practice a set of theoretical principles and practical techniques for the consideration of various problems in the processing of signals and images in medicine. Discipline "Computer modeling in medical physics" has both fundamental and applied value in the system of medical and physical education. It gives an idea of the basic principles and methods of computer modeling in medical physics.This discipline is related to the following disciplines: Modern achievements of magnetic resonance imaging, Nuclear magnetic resonance microtopography, Computed tomography, Emission tomography, Methods of image processing and signals in medicine. Mastering the discipline "Computer modeling in medical physics" is necessary for theoretical and practical training in other disciplines: Current achievements in magnetic resonance imaging, Nuclear magnetic resonance microtopography, Computed tomography, Emission tomography.The purposes of mastering the discipline "Computer modeling in medical physics" are familiarizing students with the basic methods of modeling biological objects and mastering the basic methods of describing and predicting the behavior of human organs under the influence of various external factors.

Computer simulation of dynamic characteristics of dense plasma
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is the formation of systematized knowledge and skills in modern methods of simulation of the dynamical properties of the dense plasma using various methods of computational physics. Destination of the discipline is the formation of knowledge about modern methods of simulation of the dense plasma properties using various methods of computational physics.

Elementary Particle Physics
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of studying of the discipline The goal of the theory of elementary particles is to understand the fundamental constituents of matter and their mutual interactions. Within the framework of this discipline, the following will be studied: the basic theories and principles of elementary particle theory, which include a deep internal connection with quantum mechanics, quantum electrodynamics; critical thinking skills for modeling and solving related problems in elementary particle theory; analysis and interpretation of the interaction of elementary particles in high-energy physics data.

Experimental methods in low-temperature physics
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is to study the modern methods of low-temperature research, to consider the physical bases for obtaining and measuring cryogenic temperatures, the thermodynamic principles for constructing cryogenic systems, the classical schemes for organizing cryogenic refrigerators and liquefiers and methods for calculating their characteristics, the physical fundamentals of work and the technical design of gas cryogenic machines and throttle microcryogenic systems. During the study of the discipline students of Master's degree will learn following aspects: The fundamentals of low and very low temperatures. Fundamentals of low-temperature thermometry. Methods of measurement at low temperatures. Methods for producing low and very low temperatures. Fundamentals of vacuum technology. The properties of materials at low temperatures. Acquisition of knowledge of undergraduates experimental research methods in the range of low and very low temperatures, the physical foundations of thermodynamics, processes and phenomena that take place in a wide range of thermodynamic parameters of state of matter.

Experimental Methods in Thermal Physics
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline – to give undergraduates the knowledge, skills and abilities necessary for conducting a thermophysical experiment, to acquaint them with the current state and prospects for the development of the technique of a thermophysical experiment; During the study of the discipline students of Master's degree will learn following aspects: Methods of measuring temperature, pressure, speed, flow, liquid, gas, and other physical quantities. Using practical calculation tasks in the workplace and in the home. Foundations of modern test and measurement equipment, methods of ensuring accuracy of measurement and control, the basic tenets of the theory of measurement, the required information on the optimal choice of measurement and control; understanding of the physical phenomena studied in graduate specialized courses; familiarize with the basic methods of thermo physical experiment; give skills of research and work with reference books.

Gas discharges in dense and rare gases
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is to form with undergraduates ideas about the subject, goals and objectives of the physics of gas discharges in dense and rarefied gases; acquaint them with the main sections of the physics of gas discharge, the principles, methods and formalisms used in this field; During the study of course, master students should be competent in: 1. formulate the basic concepts of this section, to use the main physical devices for measuring of electrical quantities,\ 2. to pose and to solve simple experimental tasks of gas discharge physics, to analyze and to evaluate the getting results;to integrate the content of specific problems in physics of gas discharge with general laws of physics; 3. to apply the laws of physics of gas discharges processes for specific tasks in the field of physics and interdisciplinary boundaries with other areas of knowledge. Abstract оf discipline: The main physical phenomena of gas discharge physics, methods of their observation and experimental research. Methods for producing plasma, glow discharge, arc discharge, photoionization processes, streamer breakdown, fundamentals of the fundamental properties of the physics of nonideal plasma, the study of methods for obtaining, diagnosis, theoretical and computer analysis of the properties of nonideal (dense) plasma. Basic concepts and General laws of high energy density physics, basics of gas-discharge processes of physics as a generalization of observations, practical experience and experiment.

Group and Supersymmetry Theory
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The goal of the discipline is to form the ability to apply the theory of supersymmetry, taking into account the basic principles and methods of supersymmetric physical theories, based on modern trends in the development of supersymmetric field theories. The discipline is aimed at studying superspace and superfield, supersymmetric gauge theories, supersymmetry and supergravity, Lie supergroup, MSSM – minimal supersymmetric Standard Model, Seiberg-Witten theory, violation of Supersymmetry.

Impulse plasma dynamics
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is to develop master students' skills to interpret theoretical and experimental data on plasma physics and evaluate its basic parameters. During the study of the discipline master students will learn following aspects: the principle of operation and the device of impulse installations; experimental methods for producing and studying pulsed plasma: plasma generators, plasma accelerators and diagnostic methods; understand the physical processes underlying the operation of plasma pulse installations. Will be able to assess the basic parameters of the plasma based on the calculation formulas used in plasma physics; integrate the knowledge gained from lectures, scientific journals and books into a coherent picture of the current state of the problem.

Introduction to quantum chromodynamics
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of mastering the discipline is to study the basics of quantum chromodynamics (QCD) as a gauge theory of the strong interaction of quarks and gluons, the specific features of QCD as a non-Abelian gauge theory and mastering methods for calculating the simplest processes in hadron physics involving quarks and gluons. The discipline is aimed at ensuring that undergraduates know the rationale and structure of the QCD – Lagrangian; the rules of diagrammatic technique in QCD; the main approaches to describing the properties of heavy quarkonias based on QCD; the basic principles of describing the processes of collisions of high-energy hadrons in terms of structural functions and parton distribution functions.

Introduction to the mathematical apparatus of quantum chromodynamics
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is to form the ability to describe various processes of hadron physics in the field of modern physics of elementary particles. Formation of knowledge on the basics of quantum chromodynamics, as a quantum non-Abelian field theory; theoretical description of strong interaction processes at high energies within the framework of perturbation theory; Lagrangian of QCD; gauge invariance; renormalization in QCD; processes of deep inelastic scattering.

Kinematic Methods in Particle Physics
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The goal of the discipline is to form the ability to solve the Schrödinger equation for systems of colliding nuclei for research in the development and operation of physical installations. The discipline is aimed at studying the nucleon-nucleon interaction; nucleon resonances; chiral theory of nucleon forces; chiral symmetry of QCD, its spontaneous breaking; meson exchange currents; diffraction interaction of hadrons with nuclei and multiple scattering.

Kinetic Theory of Gases
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline – the peculiarity of the course is because the “Kinetic theory of gases” as an example of a specific application of statistical methods for describing inhomogeneous gases. that it introduces such important concepts as temperature, internal energy, heat, entropy, gives a microscopic interpretation of these concepts based on the kinetic theory using the statistical method; As During the study of course, master students should be competent in: 1. Describe the laws of the kinetic theory of gases, the basics of thermodynamics, patterns of changes in some physical parameters when changing others under certain conditions; 2. to reveal the physical mechanism of the phenomenon, to analyze the change of thermodynamic parameters in specific processes; 3. To work with practical skills of calculation of thermodynamic parameters and constants using information technology. 4. Justify gas laws,explain the mathematical model of an ideal gas. 5. To study by statistical methods the properties of gases on the basis of ideas about the molecular structure of gas and a certain law of interaction between its molecules. When studying a discipline, master students will study the following aspects: Kinetic theory of gases. Precomputing almost all equilibrium properties (parameters of the equations of state) and non-equilibrium properties of gases (the transport coefficients and flows of matter, energy, momentum, entropy, electric charge). Examples of using the fundamental principles for solving equations and to obtain important practical results; depth study of the molecular-kinetic theory to describe the specific problems of irreversible processes in gases, the development of the foundations of the mathematical apparatus of modern kinetic theory of gases.

Laser technologies in medicine
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is an in-depth study of the fundamentals of physics and technology of lasers and their surgical and therapeutic use in medicine. Within the framework of this discipline, the following will be studied: the thermal effect of high-energy laser radiation, the formation of laser plasma, photocoagulation and photo-evaporation of tissues, tissue destruction under the action of explosive and shock waves; classification of various lasers (helium-neon laser, semiconductor lasers, argon laser, copper vapor laser, AIG laser, CO2 laser and others) used in medicine, their features and limitations; laser technologies in surgery, in photodynamic therapy, in reflexology; modern problems in therapeutic and surgical laser technologies.

Methods of processing signals and images in medicine
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is to teach the basic methods of analyzing biological signals and biological noise. During the course study, form undergraduates' abilities: 1. demonstrate the knowledge gained in the methods of processing signals and images in medicine as applied to the tasks of medical diagnostics and therapy; 2. to classify various methods of processing signals and images in medicine, the features and limitations of these methods; 3. use modern technologies in solving problems of signal and image processing in medicine; 4. solve scientific and practical problems of signal and image processing in medicine; 5. analyze and implement the results obtained by different methods from the point of view of the physical principles of the underlying signal and image processing in medicine; 6. to evaluate modern problems of processing signals and images in medicine, the solution of which is now actually and widely discussed in the international scientific community; 7. discuss the principle of operation of various installations for processing signals and images in medicine. 8. to substantiate in practice the set of theoretical principles and practical techniques for considering various problems of processing signals and images in medicine. Discipline summary: 1. Discipline has both fundamental and applied importance in the system of medical and physical education. It gives an idea of ​​the basic principles of mathematical and algorithmic methods for analyzing information. 2. familiarization of undergraduates with the main ways of modeling biological objects and mastering the basic methods of analyzing biological signals and biological noise.

Methods of scientific research in thermal physics
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is to study the structure and content of gas in the system of thermophysical processes, the possibility of research in the gas phase, patterns of thermophysical phenomena, quantify the physical processes. During the study of course, master students should be competent in: 1. experimental methods for measuring thermal quantities; 2. make a choice of the necessary measurement tools and estimate precision measuring systems; 3 Possess practical skills for experimental investigation of physical phenomena in thermal physics; 4 work with instruments and equipment of a modern physical laboratory; 5 explain the main observable natural and technogenic phenomena and effects from the standpoint of fundamental physical interactions. The basic requirements for the design of experimental facilities; study of laminar and turbulent boundary layers; measurement of the coefficient of hydraulic resistance; Preston method; viscous fluid dynamics; irrotational motion of an ideal incompressible fluid; the formation of graduate skills in the use of special issues of the course "Methods of research in thermal physics", a basic understanding of physical phenomena, introduction to basic methods of thermo physical experiment; the skills of research and work with reference books.

Modern methods of quantum-mechanical modeling
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline in-depth understanding of the physical processes occurring in plasma, with particular attention being paid to the application of computer language knowledge in solving physical problems and in modeling processes in plasma. Destination of the discipline is to master the modern methods of quantum-mechanical modeling.

Modern physics of dense plasma
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is the development of mathematical methods for describing dense plasma and physical models that describe the fundamental properties of the plasma state of matter as a direction of modern physical science; In the framework of the course, master students learn basic physical models, mathematical methods to describe the properties of the plasma state of matter and its application to the solution of specific problems.

Optics and laser physics in medicine
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is to gain knowledge about the use of lasers for diagnostics. Within the framework of the discipline, the following will be studied: features of photochemical and photophysical reactions, photobiological processes induced by laser radiation; classification of action spectra of photochemical reactions and photobiological processes, their dependence on the intensity of laser radiation, as well as various methods used in optics and laser physics in relation to medical diagnostics, features and limitations of these methods; laser fluorescence spectroscopy, light scattering and reflection of lasers, Dopplerography in solving problems of medical diagnostics; scientific and practical problems of diffusion reflection spectroscopy, photothermal spectroscopy and holographic diagnostic methods using laser radiation applied to medicine.

Physical methods of visualization in medicine
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is to gain knowledge about the basic principles of visualization used in medicine, and their application in medical diagnostics, therapy and basic research on living systems. During the course study, form undergraduates' abilities: 1.to demonstrate the knowledge obtained on the physical principles of various methods of obtaining images in medicine, the features and limitations of these methods; 2. interpret the data obtained by different methods from the point of view of physical principles underlying visualization; 3. to apply their knowledge and solve the tasks of visualization methods as applied to the tasks of medical diagnostics and the study of their function; 4. apply the knowledge gained in practice. When studying a discipline, master students will study the following aspects: - Digital angiography; - Visualization using ultrasound; - Obtaining images using radioisotopes; - MRI; - ESR tomography.

Physics of Plasma
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline – to form students' ideas about the subject, goals and objectives of plasma physics; to acquaint students with the fundamental questions of plasma physics in accordance with the internal logic of its development and the disclosure of the dialectical nature of the development of research in the field of plasma physics; During the study of course, master students should be competent in: 1.high-density plasma, the effects of particle interaction between - and the collective effects of quantum-mechanical effects of diffraction and symmetry; 2.have skills of staging a scientific problem; 3.skills of public speaking at conferences; 4.set specific tasks of scientific research in the field of plasma physics and solve them with the help of modern information technology equipment; 5.to consider modern approaches to modeling various phenomena in the field of plasma physics and evaluation of the results obtained. Principles of ionospheric and laboratory plasma description and their analysis are given. Structure and properties of ionospheric plasma, satellite and rocket methods. Dispersion of waves in inhomogeneous plasma. High – density plasma, interparticle interaction effects-collective effects, and quantum mechanical effects of diffraction and symmetry are studied.

Quantum Theory of Scattering
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline - to give undergraduates the fundamentals of the quantum theory of scattering on the basis of a non-relativistic equation. During the study of the discipline students of Master's degree will learn following aspects: Calculation of values in the born approximation for the main interaction potentials of practical importance – in the centrally symmetric potentials – in the Coulomb potential, on the shielded Coulomb potential, on the spherical pit, on the Gaussian potential, on the exponential potential and the Delta-shaped interaction potential; scattering factor, partial wave method, optical theorem, Glauber multiple scattering theory, various reference systems. Consideration of the basic values in the theory of scattering – scattering amplitude and differential cross-section of scattering and methods of their calculation.

Relativistic Astrophysics
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline to familiarize graduates with the current knowledge of the large-scale structure and evolution of the universe and to give master course students a thorough understanding of the laws of the macrouniverse and to study methods of theoretical investigation of structure and evolution of the Universe. During the study of the discipline students of Master's degree will learn following aspects: The latest discoveries in astrophysics associated with the detection of exotic compact objects, dark matter and dark energy. The purpose of the course is. The subject and objects of study of relativistic astrophysics. Recent discoveries in astrophysics. The physical structure of the universe. The theory of the expanding universe. Modern problems of cosmology. To study methods of theoretical investigation of structure and evolution of the Universe.

Super simmetry in the theory of elementary particles
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of studying of discipline – provide master students with an introduction to the subject of supersymmetry, introduce them to physics based on the idea of symmetry between bosons and fermions. The latest discoveries in astrophysics associated with the detection of exotic compact objects, dark matter and dark energy. The purpose of the course is. The subject and objects of study of relativistic astrophysics. Recent discoveries in astrophysics. The physical structure of the universe. The theory of the expanding universe. Modern problems of cosmology. To study methods of theoretical investigation of structure and evolution of the Universe.

The Modern Problems in General Theory of Relativity (GTR)
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of studying of the discipline is to form master students' ideas about the subject, goals and objectives of stellar evolution and galaxy dynamics, familiarize master students with the main sections of stellar evolution and galaxy dynamics, principles, methods and formalisms used in in this field.. Within the framework of this discipline, modern approaches to the development and generalization of general relativity will be studied to solve questions about its quantization, explain the problems of dark matter and dark energy, that is, modern theoretical approaches for the interpretation of astronomical data.

The problems of motion of bodies in General Theory of Relativity (GTR)
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline to give graduates understanding of the basic problems and methods of mechanics of Einstein's theory of gravity. During the study of course, master students should be competent in: 1. the mathematical formalism of general relativity (GR) 2. the main ideas of this physical theory and the area of its further applications; 3. work independently with the main issues and methods of mechanics of Einstein's theory of gravity; 4. own: the Fock methods - an important tool for deriving the equations of motion for the finite mass of the gravitational field from the equations of Einstein. 5. formulate problems of Einstein theory of gravity During the study of the discipline students will learn following aspects: Mechanics of the general theory of relativity. Schwarzschild metric. Kerr metric. Approximate metric. Condition of harmonicity. Expansion of the metric by Fock. The solution of Einstein's equations in the quasi-stationary case by Fock approximation. The problem of Lense-Thirring. Consideration of the exact and approximate solutions of Einstein's equation, as well as their practical application to applied problems of astrophysics and cosmology.

The problems of stability in General Theory of Relativity (GTR)
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of studying of discipline is to give an idea of orbital stability and in more detail about a special type of stability in the mechanics of general relativity, such as resistance with respect to vector elements. There is a brief historical review of the problem of bodies’ motion stability in general relativity and correct formulation of the problem for stability in curved space-time. Various classes of test bodies motion in various gravitational and electromagnetic fields are investigated for stability and instability by Lyapunov and Lagrange.

Рhysics gas and liquid
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is determine the structure and content of gas in the system of thermophysical processes; conducting studies of processes in the gas phase, studying the patterns of thermophysical phenomena, measuring the quantitative characteristics of physical processes. During the study of course, master students should be competent in: 1. apply experimental methods for measuring thermophysical quantities; 2. carry out the selection of the necessary measuring instruments for a given accuracy of the error; 3. work with instruments and equipment of a modern physical laboratory; 4. carry out statistical processing of experimental data; 5. explain the main observed natural and technogenic phenomena and effects from the standpoint of fundamental physical interactions. Various properties of liquid and gaseous media. The solution of the problem of flow around a wing profile by the method of conformal mappings. The postulate of Zhukovsky-Chaplygin. Navier-Stokes equations for the dynamics of a viscous incompressible fluid in dimensionless variables. Dimensionless parameters and their meaning. Reynolds number. Fundamentals of the theory of similarity. The movement of a viscous incompressible fluid in a round pipe. Poiseuille's Law. Features of the flow at large Reynolds numbers. The concept of the boundary layer. Prandtl equation. Blausius problem. Laminar and turbulent movements. Experiments and critical Reynolds number. Reynolds equation of averaged turbulent motion. Boussinesq formula. Prandtl hypothesis.

Data for 2021-2024 years

INTERNSHIPS

Pedagogical
  • Type of control - Защита практики
  • Description - Formation of practical, educational-methodical skills of conducting lectures, seminars, creatively apply scientific, theoretical knowledge, practical skills in teaching activities, conduct training sessions in the disciplines of the specialty; own modern professional techniques, methods of training, use in practice the latest theoretical, methodological advances, make educational, methodological documentation.

Research
  • Type of control - Защита практики
  • Description - The purpose of the practice: gaining experience in the study of an actual scientific problem, expand the professional knowledge gained in the learning process, and developing practical skills for conducting independent scientific work. The practice is aimed at developing the skills of research, analysis and application of economic knowledge.

Data for 2021-2024 years