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. During the study of course, master students should be competent in: 1. relativity principle; Galileo and Lorenz transformations; equations of physics in covariant form; principles of symmetry, superposition, uncertainty; correspondence principle; 2. Formulate law of conservation and time homogeneity; laws of conservation of momentum and angular momentum; mirror symmetry of space and parity conservation law; principle of indistinguishability of identical particles and particles statistics; charge independence of strong interactions; additive and multiplicative laws of conservation; 3. use conversion coefficient in modern physical calculations; apply the correspondence principle in quantum mechanics, atomic physics; to use relativistic invariant and determine thresholds of nuclear processes; 4. determine lifetime of fast unstable particles and thresholds of nuclear processes. 5. Possess: understanding about basic principles of modern physics; about symmetry principles and conservation laws; about relativistic invariant and its use. Relativity principle. Galileo and Lorenz transformations. Equation of physics in invariant form. Correspondence principle as a guide at construction of new physical theories. Conserving quantities in quantum physics. Operator of symmetry and unitary transformations. Laws of conservation of electric charge, baryonic and lepton number. Invariance with respect to rotation and translation motion. Charge independence of strong interactions. Isotopic spin. Indistinguishability principle of identical particles and particles statistics. Conservation of parity and mirror symmetry. Additive and multiplicative laws of conservation. Uncertainty principle in quantum mechanics. Degeneracy in central potentials. Uncertainty relation for energy-time. Conception about virtual particles and processes. A consideration of additive and multiplicative laws of conservation because of the characters of transformation generators remaining the system to be invariant; a consideration of principles of physics (relativity, symmetry, superposition, uncertainty, correspondence). A master student is to be able to explain the relation of laws of conservation of physical quantities with properties of space-time symmetry, be able to apply the correspondence principle for explanation of peculiarities of the micro-world, to use the relativistic invariant when describing the processes at high energies in the micro-world.

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 course, master students should be competent in: 1. understand basics of numerical methods used for investigation properties of many-particle system 2. use basic numerical methods for investigation processes in many-particle system; 3. development of the computer software programs for studying many-particle system and its application in this course 4. has conception about main phenomena in many-particle system and investigation methods and applicability boundaries; 5. has skills of working with literature on subject; 6. has knowledge of numerical solution describing processes in many-particle system During the study of the discipline students 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 is to acquire and improve competencies by international standards of foreign language education and to communicate in an intercultural, professional, and scientific environment. A master's student must integrate new information, understand the organization of languages, interact in society, and defend his point of view.

History and Philosophy of Science
  • Number of credits - 3
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - Purpose: Understanding of modern philosophy as a system of scientific knowledge, including worldview in rational-theoretical comprehension. The discipline includes aspects of the evolution and development of scientific thinking, historical moments, the contribution of scientists and scientific schools to the formation of science, and ethical and social aspects of scientific activity.

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, actively used in theoretical physics. The course forms the basis of a theoretical understanding of the physical structure of quantum field theories. During the study of course, master students should be competent in: 1. explain the basic principles of quantum field theory; 2. understand the formalism of perturbation theory to construct the corresponding Feynman diagrams, 3. plan, execute and document complex mathematical calculations and solutions to physical problems, 4. еxplain solutions to physical and mathematical problems during lectures and sessions on problem solving; 5. use the apparatus for applying the methods of quantum field theory in practical calculations. The reasons for the development of quantum field theory in a conceptual and a history of science context and possible limitations of a quantum field theoretical description. The formalism of quantum field theory, in particular: field quantisation; field-theoretical description of identical particles; Klein-¬Gordon equation; Lagrange formalism for fields; symmetries, Noether's theorem and conservation laws; Poincare invariance and related discrete symmetries; Dirac fields; introduction into perturbation theory and Feynman diagrams. Сurrent research of nuclear and particle physics.

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. During the study of course, master students should be competent in: 1. to formulate the laws of physics apply to space objects; 2. analyze scientific and technical information, 3. to study domestic and foreign experience in the field of research; 4. to use fundamental knowledge in the field of modern nuclear astrophysics. 5. use physical methods for space objects. Stars and interstellar medium. The birth of stars. Galaxies and quasars. The application of physical laws to the study of cosmic objects (stars, cosmic plasma) and the universe as a whole. Sources of stellar energy. Equations of radiation transfer and their simplest solutions. Nuclear reactions in stars and other astronomical objects. Energy and nuclear fission mechanisms. The luminosity of stars and their mass. Physical methods of research of space objects. Nuclear reactions in astrophysical objects. Modern problems of astrophysics. To study the basic concepts of astrophysics, the laws of the world of stars and modern theoretical concepts about the nature of stars and their systems; to show the effect of fundamental laws in space conditions; to study physical methods of space objects research; to get acquainted with modern problems of astrophysics, the latest discoveries and achievements in the study of the universe in recent years.

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 is to form the research culture of the future specialist, and to study the theoretical and methodological principles of organizing research activities in the context of the development of science and society. The discipline is aimed at developing the ability to conduct independent scientific research using methods and techniques of analysis, and information scientific resources.

Organization and Planning of Scientific Researches
  • Number of credits - 5
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is to form 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 - Formation of knowledge about the fundamental concepts of management psychology for the practical application of the most critical aspects of management in professional interaction. Basic principles of management psychology, personality in management interactions, management of personality behavior, modern ideas, psychology of managing group phenomena, motivation, and practical reflection.

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 course, master students should be competent in: 1. basic equations that describe the non-isothermal heat and mass transfer in turbulent reacting flows; 2. apply the basic equations and calculation methods to the study of non-isothermal turbulent reacting flows occurring in the areas of real geometry; 3. practical skills needed for the calculation of the various trends occurring in the physical and chemical transformations; 4. to consider fundamental issues of physical,chemical and thermodynamic properties of the systems under consideration; 5. perform simple and complicated heat and hydraulic piping calculations. During the study of the discipline students 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.

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 course, master students should be competent in: 1. analyze of collision processes in dense plasmas; 2. to distinguish features of nature of collisions in dalnodeystvuyushchy Coulomb interaction of the facing particles; 3.investigate collisional processes studied using the methods in this course; 4. to integrate the equations for finding the elastic and inelastic scattering; 5. using computer programs for plotting cross sections. 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 studying of discipline – study of the properties of non-ideal partially and fully ionized plasma based on numerical methods; During the study of course, master students should be competent in: 1. to consider the basic properties of plasma physics and its features; 2. to various mathematical packages and computer simulation methods; 3. to create different codes for computer simulation of physical phenomena in plasma; 4.to understanding of fundamental problems in computer simulation of plasma systems; 5. to use of non-ideal plasma in scientific research, development of technical projects and technological processes. Will consider various mathematical packages and numerical methods for modeling the properties of nonideal plasma; research of properties for nonideal plasmas on the basis of different computer simulation methods.

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. During the study of course, master students should be competent : 1. In the rigorous understanding of the core theories and principles of theory of elementary particles, which include profound internal connection with quantum mechanics, quantum electrodynamic. 2. The ability to apply critical reasoning skills to model and solve related problems in theory of elementary particles. 3.The proficiency in the collection, analysis and interpretation of elementary particles interactions 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. Analyze the trends and development prospects of these branches of technology. Consider the fundamental principles of designing cryostats and cryogenic equipment, as well as features of low-temperature physical experiments. Analyze the trends and development prospects of these branches of technology. Consider the fundamental principles of designing cryostats and cryogenic equipment, as well as features of low-temperature physical experiments. During the study of course, master students should be competent in: 1. the history of development of low-temperature research; basic methods for low and very low temperatures; 2. basic methods for measuring low and very low temperatures; 3. mechanical, thermal and electromagnetic properties of materials at low and very low temperatures; 4. the main methods of obtaining and measuring the vacuum; physical foundations of modern cryotechnology; 5. design and manufacture the main components cryogenic vacuum systems use liquid nitrogen for cryogenic vacuum; 6. manufactures and grading of low-temperature sensors; 7. to carry out low-temperature measurements in the automatic mode; 8. use IR spectroscopic methods of analysis of substances at low temperatures; formulate and solve simple experimental problems of low temperature physics, properly handle, analyze and evaluate the results obtained; 9. Possess: means of measurements in accordance with the standards (technical regulations), and analyze the results. During the study of the discipline students 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 course, master students should be competent in: 2. to characterize the basic physical parameters and values, principles and methods of their measurements, types of measurements, types of receivers and radiation sources used in experimental Thermophysics; 3. get an idea of the prospects and problems, limitations of the use of various physical methods for the analysis of physical, mechanical, biological, geophysical phenomena and processes. 4. method of measurement of temperature, pressure, velocity, flow rate of liquid, gas, steam and other quantities; 5. make a choice of the necessary measuring instruments and assess the accuracy of the measuring systems; 6. explain the principle of operation of various devices and measuring instruments. 7. To possess practical skills of work with various measuring instruments; During the study of the discipline students 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 studying of discipline – provide masters students with an introduction to the subject of Quantum Chromodynamics, introduce with physics of gluons and quarks and also modern methods of theories of strong interaction. During the study of course, master students should be competent in: 1. to expand the horizons in physical theories; 2. to examine methods on quarks and gluons; 3. to formulate problems of quantum chromodynamics; 4. to use ways of its solution; 5. to interpret classification of elementary particles in quantum chromodynamics. Abstract оf discipline: Perturbative methods in quantum chromodynamics. Divergence in the quantum theory of the field and methods of their elimination. A method of renormalizatsionny group in quantum chromodynamics. An invariant charge and asymptotic freedom in quantum chromodynamics. Partonny model. The description of processes of strong interaction in the time-like area.

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. During the study of course, master students should be competent in: 1. demonstrate the knowledge gained on laser technologies in medicine; 2. To classify various laser technologies in medicine, their features and limitations; 3. How to use laser technologies in medicine; 4. To solve scientific and practical problems of the application of laser technologies in medicine; 5. analyze and implement the results obtained by different laser technologies in medicine; 6. to assess current problems in laser technologies in medicine, the solution of which is now being discussed and discussed in an international scientific environment; 7. To discuss the operation principle of various technical complexes used in laser technologies in medicine. 8. to prove in practice a set of theoretical principles and practical techniques for the consideration of various problems in laser technologies in medicine. During the study of the discipline students will learn following aspects: 1. Discipline "Laser technology in medicine" has an important applied value in the system of medical and physical education. It provides theoretical and practical basis for the use of medical laser devices and technologies in medicine. He acquainted with various laser emitters and equipment used in medicine 2. This discipline is related to the following disciplines: Methods for processing images and signals in medicine. Mastering the discipline "Laser technology in medicine" is necessary for theoretical and practical training in other disciplines :. The purposes of mastering the discipline "Laser technology in medicine" are mastering practical skills in laser technologies in medicine; mastering the methods of working with medical laser devices and laser methods of research in medicine;

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 to introduce master students into modern methods of computer simulations of real quantum systems, widely applied in condensed matter physics. The main methods of quantum modeling are considered including the exact diagonalization method and the Monte Carlo method. The problems of numerical analysis of the thermodynamic characteristics of various systems are studied using modern examples of condensed matter physics. During the study of course, master students should be competent : 1. understand the basic principles of computer modeling of quantum systems; 2. know the method of point diagonalization; 3. to apply the Monte Carlo method for solving and modeling quantum-mechanical problems; 4. to conduct numerical analysis of the thermodynamics of many-particle model systems; 5. to apply modern mathematical environments for modeling quantum mechanical processes in many-body problems. When studying a discipline, master students will study the following aspects: The matrix formulation of quantum mechanics. Bra-ket technique. Conversion of bases. The operators. Eigenvectors and eigenvalues. Harmonic oscillator in classical mechanics. Oscillations of the nuclei of a diatomic molecule. Anharmonism. Schrödinger equation for a hydrogen atom. The quantum numbers of a hydrogen atom. Classification and designation of conditions. Selection rules. Spectral series of a hydrogen atom. Spin-orbit interaction. Quantization of angular momenta and their projections. The concept of a self-consistent field. The periodic system. Pauli principle. Addition of orbital and spin moments. Types of communication. Normal connection. Two-level systems. Rabi Oscillations and Rabi Frequency. Three-level systems. Linear quadrupole trap. Mathieu equations. Areas of stability trapped in Paul. Macro movement. Lamb - Dicke mode. Lamb's criterion is Dicke. Trap design. Normal vibrations and their quantization. Dual-ion crystal. Interaction of the ion chain with laser radiation in the Lamb - Dicke mode. Laser and sympathetic cooling. Spectroscopy of atomic states based on quantum logic. The concept of qubit. Examples of the implementation of qubits. Deutsche-Jos task. Logical operations on quantum registers. Deutsche - Josa algorithm. Model quantum computer.

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; During the study of course, master students should be competent in: 1. the basic physical models and the areas of their applicability; 2. properly articulate the basic physical models, describing the properties of the plasma state of matter; 3. an information of the relevance of the description of the various properties of the plasma and their use in scientific experiments; 4. to calculate the characteristics of the plasma according to the specified parameters; 5. to make estimates of the drift velocity of particles in plasma; to explain the influence of magnetic fields of simple configurations on the behavior of the plasma. In the framework of the course, 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; During the study of course, master students should be competent in: 1. demonstrate the knowledge gained in optics and laser physics in relation to medical problems; 2. To classify various methods of optics and laser physics in relation to medical problems, features and limitations of these methods; 3. to use modern technologies in solving problems in optics and laser physics in relation to medicine; 4. To solve scientific and practical problems of optics and laser physics in relation to medicine; 5. analyze and implement the results obtained by different methods from the point of view of the principles underlying optics and laser physics in relation to medicine; 6. to evaluate modern problems in optics and laser physics in relation to medicine, the solution of which is now actual and widely discussed in the international scientific community; 7. to discuss the operation principle of various technical complexes used for research in optics and laser physics in medicine.\ 8. to prove in practice a set of theoretical principles and practical techniques for the consideration of various problems in optics and laser physics in relation to medicine. Discipline "Optics and laser physics in medicine" has both fundamental and applied significance in the system of medical and physical education. It provides theoretical basis for the use of medical laser devices and laser methods of research in medicine. He acquainted himself with the experimental technique in laser medicine, with various laser emitters and complex measuring instruments used in medicine This discipline is related to the following disciplines: Methods for processing images and signals in medicine. Mastering the discipline "Optics and laser physics in medicine" is necessary for theoretical and practical training in other disciplines :. The purposes of mastering the discipline "Optics and laser physics in medicine" are mastering fundamental knowledge in optics and laser medicine: a holistic view of science and its role in practical medicine; mastering the general theory questions: acquaintance with the theoretical bases of medical laser devices and laser methods of research in medicine; an exposition of the basic principles of the mechanism of the action of laser radiation on biological tissues,mastering the experimental technique in laser medicine, processing and analyzing the results obtained and teaching the skills of working with various laser emitters and complex measuring instruments practical techniques for the consideration of various problems in optics and laser physics in relation 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 course, master students should be competent in: 1. formulate basic elements of scattering theory, relation between scattering amplitude and differential cross section and total cross section, 2. apply different methods of calculation of the bove mentioned characteirsitics, know the area of applicability of the methods, methods of phase scattering calculation, peculiarities of scattering in system of identical particles, peculiarities of scattering og relativistic particles; 3. calculate atomic formfactors; 4. calculate differential cross sections of scattering for cases important for practice, calculate thresholds of nuclear processes; 5. find energies necessary for birth of new particles on modern accelerators; 6. use of limit cases of large and small angles of scattering, different integrals in physics, use the conversion coefficient in quantum calculations. During the study of the discipline students 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 course, master students should be competent in: 1. formulate the basics of modern relativistic astrophysics; 2. solve independently applied and theoretical problems; 3. own: skills in the formulation and solution of problems on a given topic. 4. use the current knowledge of the large-scale structure and evolution of the universe 5. demonstrate a thorough understanding of the laws of the macrouniverse. During the study of the discipline students 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; During the study of course, master students should be competent in: 1. formulate the basics of modern relativistic astrophysics; 2. solve independently applied and theoretical problems; 3. own: skills in the formulation and solution of problems on a given topic. 4. use the current knowledge of the large-scale structure and evolution of the universe 5. demonstrate a thorough understanding of the laws of the macrouniverse. 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.. During the study of course, master students should be competent in: 1. of formulating, analyzing and solving of stellar evolution and motions in galaxies; 2. the ability to understand the complexity of problems; 3. to apply methods and formalisms to describe stellar evolution and galaxy dynamics.

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. During the study of course, master students should be competent in: 1. use of the basic concepts of differential geometry applying to general relativity 2. use of affine connection, spin connection, Fock – Ivanenko coefficients, torsion tensor, 3. formulate Einstein – Cartan gravity; 4. apply of obtained knowledge when solving problems in theory of gravity of Einstein – Cartan; 5. own: skills of applying the received knowledge at the solution of problems in the theory of gravitation. 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 - Aim оf discipline: formation of the ability to carry out educational activities in universities, to design the educational process and conduct certain types of training sessions using innovative educational technologies.

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