Master degree program
Physics (TPU)

Physics (TPU)

QUALIFICATION

  • Scientific and pedagogical direction - Master of Natural Sciences

MODEL OF GRADUATING STUDENT

ON1 to analyze scientific and technical information using the experience of domestic and foreign scientists on the subject of research and modern information technologies for searching, storing, processing and transmitting new information;
ON2 to develop a program of actual training course for teaching physical disciplines taking into account the modern requirements of higher education pedagogy, psychological and pedagogical foundations of the innovative educational process;
ON3 use modern physical and mathematical methods, computer-aided design methods to create innovative projects for the development, implementation and commercialization of new technologies and artificial intelligence methods to solve professional problems;
ON4 to interpret and summarize the results of scientific research; prepare reports, presentations and scientific publications with the presentation of practical recommendations for the implementation of the results in production;
ON5 develop proposals and improve technological processes and equipment with the involvement of innovative technologies; to assess the economic efficiency of technological processes and their environmental safety;
ON6 to critically evaluate the quality and performance of labor, the costs and results of the team in the production activities; analyze the state of the scientific and technical problem, setting goals and objectives in order to improve and improve the efficiency of technological processes in the field of engineering physics;
ON7 to model production processes and perform engineering and technical-economic calculations using application software packages and computer-aided information processing methods;
ON8 independently carry out physical and technical studies to optimize the parameters of objects and processes using standard and special tools and software;
ON9 analyze the efficiency of technological processes to improve the performance of energy and resource saving, create technologies for waste disposal and systems for ensuring environmental safety of production;
ON10 conduct an examination of technical documentation, form an application for research projects with the preparation of schedules, technical specifications and reports;
ON11 to exercise control over the adjustment, adjustment and experimental testing of technical devices, systems and complexes, to select systems to ensure the required measurement accuracy;
ON12 to show creativity in solving various situations and take responsibility for these decisions, to argue their own judgments and scientific position, to organize the work of the creative team to achieve the scientific goal.

Program passport

Speciality Name
Physics (TPU)
Speciality Code
7M05309
Faculty
of Physics and Technology

disciplines

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.

Devices and installations for the solids analysis
  • Number of credits - 5
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - Aim оf discipline: mastery of modern methods of studying a solid body, the principles of operation of the basic elements of spectrometric installations and electronic equipment used to automate a physical experiment. During the study of course, masters should be competent in: 1. determine the metrological characteristics of the methods of research of a solid body, the main elements of spectrometric installations and devices; 2. make the right choice of the analysis method and electrophysical installation necessary to solve a specific analytical problem; 3. take part in fundamental research and projects in the field of condensed matter physics, 4. participate in the modernization of modern and the creation of new methods for studying the mechanical, electrical, magnetic, thermal properties of solids; 5. solve problems requiring abstract and creative thinking and originality in the development of conceptual aspects of research projects. The main elements of electrophysical installations. Radioactive drugs used for analytical purposes. The principle of operation, the main technical characteristics of linear and cyclic accelerators. Physical basis of registration methods. Detector selection criteria for analytical facilities. The main methods of spectral measurements: Spectrometers of photons, electrons, ions and neutrons. Standard electronics systems for collecting and preprocessing information from radiation detectors. CAMAC system. Standard system modules. Automation of physical installations. Features of the use of computers in physical research. Fundamentals of the methods of elemental and structural analysis of solids using beams of ionizing radiation.

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.

Pedagogy of Higher education
  • Number of credits - 5
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose is the formation of the ability of pedagogical activity through the knowledge of higher education didactics, theories of upbringing and education management, analysis, and self-assessment of teaching activities. The course covers the educational activity design of specialists, Bologna process implementation, acquiring a lecturer, and curatorial skills by TLA-strategies.

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.

Data for 2021-2024 years

disciplines

3D modeling in technical physics
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - Aim оf discipline: training in the use of computer 3D modeling methods and programming of basic mathematical algorithms for solving physical problems and processing experimental data. During the study of course, masters should be competent to: 1. evaluate the effectiveness of parameter registration and control systems for various technological processes; 2. interpret and visualize the results of 3D modeling and justify the optimal parameters of the simulated process; 3. examine the constructed model for adequacy, completeness and stability in terms of input parameters; 4. apply practical methods for determining and numerical methods for calculating rational characteristics of objects; 5. develop innovative projects for the development, implementation and commercialization of new technologies and artificial intelligence methods for solving professional problems in the field of technical and applied physics. During the study of the discipline masters will learn following aspects: Mathematical model. Basic concepts and classification. Principles and stages of mathematical modeling. Methods for solving systems of algebraic equations: a) direct methods (Gauss method, Cramer method); b) iterative methods (iteration method, Seidel method, relaxation method); c) iterative methods of the variational type; d) methods of minimizing functions. Solving nonlinear equations (simple iteration method, Newton's method, section method, interpolation methods). Methods of numerical integration and differentiation. Quadrature formulas of interpolation type. Linear integral equations (Fredholm equations, Voltaire equations), solution methods (Laplace transform, successive approximation method, resolvent method, method of reduction to an algebraic equation).

Defects in solids and materials modification
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - Aim оf discipline: the formation and development of students' theoretical ideas about the relationship of the structure and properties of real crystalline substances, as well as their subsequent use of acquired knowledge to study the possibility of developing materials with a given set of properties necessary for practical use. During the study of course, masters should be competent in: 1. to classify defects in solids; 2. understand the basic processes of formation of defects in solids; 3. characterize the dynamics of defects in solids 4. explain the role of structure defects in the formation of chemical, electrical, optical and mechanical properties of solid-phase materials. During the study of the discipline masters will learn following aspects: classification of defects in solids, the main processes of their formation and characterization of development, the role of structural defects in the formation of chemical, electro physical, optical and mechanical properties of solid-phase materials, research in the field of solid-state chemistry and solid-phase functional materials.

Diffusion Instability in a Multicomponent Gas Mixtures
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - Aim оf discipline: mastering the basic methods of calculating the diffusion process when solving practical problems of stationary and non-stationary diffusion mixing in multicomponent gas mixtures. Abstract оf discipline: Stefan-Maxwell diffusion equations. Features of multicomponent diffusion. Diffusion and instability of mechanical equilibrium in isothermal three-component gas mixtures. Ballast gas method. Inversion of the density of the mixture. The boundaries of stable diffusion in three-component gas mixtures. Concentration convection with isothermal diffusion in vertical channels of various shapes

Hydrogen accumulation properties in metals and alloys
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - Aim оf discipline: mastering modern methods of analysis of materials saturated with hydrogen and methods of hydrogen treatment of metals and alloys. During the study of course, masters should be competent in: 1. understand the interaction of hydrogen with metals and alloys; 2. plan and conduct research in the field of the accumulating properties of hydrogen in solids; 3. to solve experimental problems in the field of research of the composition and structure, physical and mechanical properties of materials saturated with hydrogen; 4. explain the physical principles underlying the mechanisms of radiation-stimulated diffusion and hydrogen release; 5. explain the social and cognitive functions of modern physics, as well as interdisciplinary communication in the field of various scientific and technical knowledge that contribute to solving practical, production problems in future professional activities. During the study of the discipline masters will learn following aspects: The interaction of hydrogen with metals. Methods for the study of metal-hydrogen systems. Diffusion and release of hydrogen from metals under the action of thermal and radiation exposure. Phenomenological model of the mechanism of diffusion and release of hydrogen from metals under the action of ionizing radiation.

Isotopic, chemical and structural surface analysis
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - Aim оf discipline: formation of professional competencies in mastering the methods of analysis of the surface region of materials by sputtering the sample with ions, spark discharge, laser radiation During the study of course, masters should be competent in: 1. to master the physical processes underlying the methods of analysis of the surface region of materials: the formation of vacancies on the inner shells of the electronic structure (X-ray photoelectron spectroscopy) and the transitions between energy levels (electron microanalysis and electron Auger spectroscopy) 2. distinguish between modern methods of analysis of the local composition, structure and physico-chemical properties of the surface, 3. apply experimental techniques providing isotopic, chemical and structural analysis of the surface; 4. navigate the properties of surface layers and thin films, methods for their preparation, research and modification 5. to possess basic decision-making skills in the field of analysis of a solid body; methods, mass spectroscopy for studies of the isotopic and chemical composition of the surface of a solid and thin films, thermo-desorption mass spectrometry. During the study of the discipline masters will learn following aspects: Experimental features of surface diagnostics. The main physical phenomena underlying the methods of surface diagnostics. Surface structure. The main nodes of analytical facilities. Requirements for the conditions of the experiment. Fundamentals of electron spectroscopy methods. Fundamentals of ion spectroscopy methods. Classification of ion sputtering mechanisms. Elements of a linear cascade theory of spraying. Models of ion sputtering. Thermal peaks. Shock waves. Classification of ionization mechanisms. Ionization мodels.

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.

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 thermodynamics of irreversible processes
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - Aim оf discipline: study of optimal models using the basic principles of the phenomenological theory of irreversible processes. Abstract оf discipline: Thermodynamics of irreversible processes. The principle of local equilibrium. Entropy of nonequilibrium systems. Evolution criterion for equilibrium and nonequilibrium states. Glansdorff-Prigogine theorem. Linear theory of Onsager. Principle of microscopic stability of non-equilibrium states of reversibility. Curie principle. Stability of stationary states and Le Chatelier's principle. Fluctuations and the limits of applicability of the thermodynamic method

Optimization of technological processes
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - Aim оf discipline: acquisition of skills in using modeling methods to describe the regularities of technological processes and optimize the parameters of the process and object under study. During the study of course, masters should be competent to: 1. describe the processes of heat and mass transfer during combustion of liquid and solid fuels in the combustion chamber; 2. apply optimization methods for fuel combustion technology, taking into account the mathematical and physical models of combustion processes in various combustion chambers; 3. evaluate the economic efficiency of technological processes and their environmental safety with the involvement of innovative technologies to improve technological processes and equipment; 4. create waste management technologies and systems for ensuring the environmental safety of production; 5. carry out modeling of objects using modern software; to formulate and justify the technical and scientific novelty of the obtained simulation results and protect their priority. During the study of the discipline masters will learn following aspects: Chemical equilibrium. Speed and order of reaction. The dependence of the reaction rate on pressure. Experimental determination of the reaction order. The connection of activation energy with the thermal effect of the reaction. Different types of ignition. Heat and heat dissipation curves; graphic solution. Stationary theory of thermal explosion: exponential decomposition; flat vessel solution; kind of equations for cylindrical and spherical vessels. Technological optimization methods. Physical models of the problem of burning various fuels. Combustion features and combustion modes of liquid and solid fuels. Mathematical models of the combustion process in the combustion chamber. Basic equations for atomization and combustion of liquid fuel. The equation of continuity. Equation of motion and the equation of internal energy.

Radiation effects in condensed matter
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - Aim оf discipline: study of the basic physical processes that occur during the interaction of various types of radiation with condensed matter; optimal techniques for experimental research and processing of the results. During the study of course, masters should be competent in: 1. determine the scope of the methods used; 2. use current standards and specifications, provisions and instructions for the operation of equipment, regulatory materials related to the field of professional activity 3. own methods for analyzing the properties of hydrogen in metals and alloys, isotope chemical structural analysis of the surface of radiation defects in condensed matter, 4. explain the effects of radiation on semiconductors, dielectrics, metals, alloys, organic and inorganic compounds, polymers and products based on them; 5. apply methods to solve the main problems associated with the radiation resistance of products in various fields of technology and ways to increase it. During the study of the discipline masters will learn following aspects: The interaction of particles and radiation with matter. Inelastic collisions of charged particles. Loss of energy due to ionization. Radiation losses. Critical energy. Bragg Peak. Extrapolated range of electrons. The effects of ionization in materials with different types of chemical bonds. Elementary defects in crystals. The simplest types of damage and their evolution. Mechanisms of formation of stable Frenkel pairs. Focuses and crowdions. The interaction of primary defects and the formation of the deformation structure of the crystal. Secondary atomic displacements. Energy balance in cascade. Lindhard model. Radiation-stimulated diffusion and balance equations of point defects. Evolution of a defect structure at low and high irradiation temperatures. Physical mechanisms of changes in the macroscopic properties of metals upon irradiation.

Scanning Probe Microscopy
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - Aim оf discipline: the formation of the skills of experiment planning, the selection of optimal techniques implemented using scanning probe microscopes, the determination of the necessary experimental conditions and the optimal method for processing the results. During the study of course, masters should be competent in: 1. explain the fundamental principles of scanning probe microscopy; 2. to analyze the properties of hydrogen in metals and alloys using technological equipment, automation and production diagnostics, modern information technologies; 3. use physical and mathematical methods of isotopic chemical and structural analysis of the surface; 4. own methods of scanning probe microscopy in metals and alloys; 5. use a creative approach to study defects in solids when solving the problems of designing objects of new equipment, operation, and development of technological processes. During the study of the discipline masters will learn following aspects: Physical fundamentals of scanning probe microscopy. The principle and basic modes of operation of a scanning tunneling microscope. Scanning tunneling spectroscopy. The principle and basic modes of operation of an atomic force microscope. The forces of interaction in solids. Van der Waals forces, electrostatic and capillary interaction. Methods for recording bending and vibration parameters of the probe. AFM operating modes. Lateral force microscope. Techniques implemented in scanning probe microscopy. Electrostatic force microscopy. Scanning Capacitive Spectroscopy. Scanning microscopy of the near optical zone. Microthermal analysis. Power modulation spectroscopy. Microscopy of phase detection.

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