Master degree program
Physics

Physics

QUALIFICATION

  • Scientific and pedagogical direction - Master of Natural Sciences

MODEL OF GRADUATING STUDENT

Expected learning outcomes Upon completion of this educational program, it is expected that undergraduates will be able to:
1. ON1 – to interpret the results of theoretical studies and experiments in the fields of gravity and cosmology;
2. ON2 – to apply theoretical models of physical phenomena and processes to explain the experimental data obtained;
3. ON3- to use modern computer programs, mathematical apparatus and numerical methods for conducting scientific calculations of physical phenomena and processes in the fields of gravity and cosmology;
4. ON4- to conduct a comparative graphical analysis of the results depending on various parameters characterizing physical systems;
5. ON5- to analyze graphical results of data processing, conduct a critical analysis of the results of theoretical calculations, research and experiments, make a full report on the work performed;
6. ON6 - to substantiate the scientific results obtained on the study of a particular physical problem in order to achieve the goals set and the implementation of the main tasks;
7. ON7 - to organize effective demonstration of educational materials, show your professional level in front of students;
8. ON8- successfully apply modern educational technologists, analyze the possibilities of contact audiences;
9. ON9-to develop an effective method for evaluating and analyzing learning outcomes using advanced modern technologies;
10. ON10- guide and motivate students to get high learning outcomes;
11. ON11- to apply innovative, pedagogical and educational technologies, as well as highly effective teaching methods, evaluate their effectiveness;
12. ON12- master professional skills and abilities in the process of studying at a university, understand the significance of their profession, show a steady interest, develop, be up to date with current trend events (experiments and theoretical studies).

Program passport

Speciality Name
Physics
Speciality Code
7M05303
Faculty
of Physics and Technology

disciplines

Basic Principles of Modern Physics
  • Number of credits - 6
  • 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.

Classical gravity theory
  • 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 subject, goals and objectives of classical gravity theory, familiarize master students with the main sections of classical gravity theory, principles, methods and formalisms used in classical gravity theory. During the study of course, master students should be competent in: 1. analyzing and solving the basic problems of classical gravity theory; 2. the ability to understand the complexity of problems; 3. to apply methods and formalisms to describe classically gravitational phenomena. Abstract оf discipline: Riemannian geometry and tensor analysis. Equations of gravitational field. Space-time near gravity sources . Classical effects of general relativity. Introduction to cosmology.

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.

Distance physics
  • 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 subject, goals and objectives of action-at-a-distance physics, familiarize master students with the main sections of reference frames and action-a-distance physics, principles, methods and formalisms used in reference frames and action-at-a-distance physics. During the study of course, master students should be competent in: 1. analyze relational approach to the nature of classical space time; 2. apply theories of unary and binary systems of the relations; 3. own space geometry methods - time on the basis of the theory of unary systems of the material relations; 4. explain properties of classical space time as dimension, a signature and the square nature of definition of measure. Abstract оf discipline: Monad approach definition of reference frames in GR. Conservation laws in GR. Five-dimensional theory of gravitation and electromagnetism. Principles of relational concept of space-time. Unary and Binary geometry. Relational approach to micro-world 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 methodology of physics
  • 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 subject, goals and objectives of history and methodology of physics, familiarize master students with the main sections of physics history, evolution of physical ideas, principles and methods of nature cognition. During the study of course, master students should be competent in: 1. skills of chronological presentation of the discoveries of fundamental physical phenomena; 2. formulating and analyzing the basic problems ofmodern physics; 3. the ability to understand them to describethe world’s physical picture. Abstract оf discipline: Survey of physics development. History of mechanics. History of electromagnetism. History of optics. History of heat. History of the atom. Modern physical picture of the world

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.

Modern methods of quantum-mechanical simulation methods
  • Number of credits - 5
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The discipline is aimed at teaching modern methods of computer modeling in real quantum systems, intensively studied in condensed matter physics, and teaching the possibilities of their optimal application.

Modern problems of physics
  • 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 subject, goals and objectives of modern physics, familiarize master students with the main sections of modern physics, trends of its development, methods and formalisms used in it. During the study of course, master students should be competent in: 1. of formulating, analyzing and solving the basic problems ofmodern physics; 2. the ability to understand the complexity of problems; 3. to apply methods and formalisms to describemodern problems of physics; 4. mastering the methods of theoretical analysis being used in modern physics. Abstract оf discipline: Achievements of classical gravity theory. Achievements of quantum gravity theory. Achievements in the application of hypercomplex numbers in geometry and physics. Achievements in quantum mechanics.

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
  • Number of credits - 5
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline: the formation of professional competence through the assimilation of theoretical foundations and practice-oriented aspects of pedagogical science. As a result of mastering the course, students will be able to: explain the theoretical and methodological foundations of pedagogy; systematize the basic concepts of pedagogy; apply forms, methods and means of interaction with participants in the educational process; design the educational process; plan professional activities taking into account the laws and principles of learning, development, education; evaluate the social role of the teaching profession in modern society.

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.

Philosophical problems of natural science
  • Number of credits - 3
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of studying of the discipline is to develop in the undergraduates an in-depth understanding of the modern philosophy of science as a system of scientific knowledge of a particular type, which includes the main philosophical and methodological problems in their rational theoretical understanding. During the study of course, master students should be competent in: 1. to know the nature, a structure, the principles of the organization and functioning of science, genesis and history of science from a position of formation of its models, images and styles of thinking; 2. to be able to formulate and solve the problems arising during research activity and demanding profound professional knowledge; 3. to be able to choose necessary methods of a research, to modify existing and to develop new methods proceeding from problems of a concrete research; 4. to analyze and comprehend realities of the modern theory and practice on the basis of history and philosophy of science, methodology of natural-science, socio-humanistic and technical knowledge; 5. to apply methodological and methodical knowledge in carrying out scientific research, pedagogical and educational work. Abstract оf discipline: The course " Philosophical problems of natural science" introduces the problem of science as an object of special philosophical analysis, forms knowledge about the history and theory of science; on the laws of the development of science and the structure of scientific knowledge; about science as a profession and social institution; оn the methods of conducting scientific research; the role of science in the development of society. The maintenance of a course includes detection of specifics and interrelation of the main problems, subjects of philosophy of science and history of science; studying consciousness of science in its social and philosophical foreshortenings; consideration of a phenomenon of science as professions, social institute and direct productive force; disclosure of disciplinary self-determination of natural, social and technical science, their communities and distinction.

Psychology
  • Number of credits - 3
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of studying the discipline is to provide scientifically grounded training of highly qualified specialists on the basis of studying the fundamental concepts of psychology management, creating the necessary prerequisites for theoretical understanding and practical application of the most important management problems related to the process of professional development.

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.

Quantum gravity
  • 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 subject, goals and objectives of multidimensional gravity theory, familiarize master students with the main sections of multidimensional gravity theory, principles, methods and formalisms used in multidimensional gravity theory. During the study of course, master students should be competent in: 1. analyzing and solving the basic problems of quantum gravity; 2. the ability to understand the complexity of problems; 3. to apply methods and formalisms to describe quantum gravitational phenomena. 4. to distinguish the features of the sections of quantum gravity; 5. to apply the methods of theoretical analysis and calculationsof quantum gravitational effects in astrophysics and cosmology. Abstract оf discipline: Gravity quantization. Quantum mechanics of a charge in a gravitational field. Graviatom radiation. Quantum geometrodynamics. Quantum cosmology. Quantum field theory in curved space-time.

Stellar evolution and Galaxy dynamics
  • 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 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. Abstract оf discipline: Interstellar medium. Protostars. Equations of hydrodynamic and energy equilibrium. Temperature, pressure and density at the centre of a star. Stellar dynamics.

The problems of stability in General Theory of Relativity (GTR)
  • Number of credits - 5
  • 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.

Data for 2021-2024 years

disciplines

Approximate Methods in Theoretical Physics
  • 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.

Classical gravity theory
  • 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 classical gravity theory, familiarize master students with the main sections of classical gravity theory, principles, methods and formalisms used in classical gravity theory. During the study of course, master students should be competent in: 1. analyzing and solving the basic problems of classical gravity theory; 2. the ability to understand the complexity of problems; 3. to apply methods and formalisms to describe classically gravitational phenomena. Abstract оf discipline: Riemannian geometry and tensor analysis. Equations of gravitational field. Space-time near gravity sources . Classical effects of general relativity. Introduction to cosmology.

Computing Astrophysics
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of studying of the discipline: to understand the physical nature of astrophysical phenomena, to evaluate and synthesize new ideas from the point of view of modern astrophysics; to form an idea of the near and far space, the Universe as a whole and its physical processes and phenomena; As a result of studying the discipline, the student is able to: 1. to use numerical methods for the solution of astrophysical tasks; 2. to apply modern computer technologies to the solution of a astrophysical problem; 3. to form professional tools for the solution of astrophysical tasks; 4. to receive results applying a symbolical method; 5. to study the fundamental principles, concepts and hypotheses which are the cornerstone of the description the astrophysical systems.

High energy physics
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The course includes a broad particle phenomenology component description, including research efforts to develop new theories of dark matter and their possible signatures, model physics beyond the standard model with a focus on LHC (Large Hadron Collider) phenomenology and to develop early-universe theories and study their connections to particle physics. It is aimed at calculating the hadron corrections necessary for decoding measurements in experiments at the collider.

Introduction to classical field theory
  • 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 classical gravity theory, familiarize master students with the main sections of classical gravity theory, principles, methods and formalisms used in classical gravity theory. During the study of course, master students should be competent in: 1. analyzing and solving the basic problems of classical gravity theory; 2. the ability to understand the complexity of problems; 3. to apply methods and formalisms to describe classically gravitational phenomena.

Multi dimensional gravity
  • 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 multidimensional gravity, familiarize master students with the main sections of multidimensional gravity, principles, methods and formalisms used in multidimensional gravity. During the study of course, master students should be competent in: 1. analyzing and solving the basic problems of multidimensional gravity theory; 2. ability to understand complexity of tasks; 3. to analyze and solve the main objectives of multidimensional gravitation; 4. to apply methods and formalizm to the multidimensional description of the gravitational phenomena. Abstract оf discipline: Elements of analysis in Banach spaces. Smooth manifolds. Smooth maps of manifolds. Tangent spaces and tangent mappings. Elements of Riemann geometry. Multidimensional cosmological model with a diagonal metric. Multidimensional de Sitter space. Multidimensional model with anisotropic fluid. Multidimensional model with external form field.

Nuclear Astrophysics
  • 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.

Quantum gravity
  • 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 multidimensional gravity theory, familiarize master students with the main sections of multidimensional gravity theory, principles, methods and formalisms used in multidimensional gravity theory. During the study of course, master students should be competent in: 1. analyzing and solving the basic problems of quantum gravity; 2. the ability to understand the complexity of problems; 3. to apply methods and formalisms to describe quantum gravitational phenomena. 4. to distinguish the features of the sections of quantum gravity; 5. to apply the methods of theoretical analysis and calculationsof quantum gravitational effects in astrophysics and cosmology. Abstract оf discipline: Gravity quantization. Quantum mechanics of a charge in a gravitational field. Graviatom radiation. Quantum geometrodynamics. Quantum cosmology. Quantum field theory in curved space-time.

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.

Stellar evolution and Galaxy dynamics
  • 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.

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.

Theory of Elementary Particles
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The discipline is aimed at studying modern elementary particle physics, which allows you to master the skills to build a methodologically perfect theory of elementary particles, free from known paradoxes and anomalies.

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