Master degree program
Theoretical Nuclear Physics

Theoretical Nuclear Physics

QUALIFICATION

  • Scientific and pedagogical direction - Master of Natural Sciences

MODEL OF GRADUATING STUDENT

1. conduct experiments in nuclear physics, process and interpret their results;
2. apply modern physical theories to explain the experimental data;
3. use effective computer technologies, programs, mathematical and numerical methods for the theoretical description of phenomena and processes in the field of theoreticl nuclear physics;
4. effectively apply the mathematical apparatus of the theory of particles and obtain reliable quantitative predictions;
5. to evaluate the results of the obtained calculations, conducted research and experiments, to compile a report on the results of the work performed;
6. to substantiate scientific results on a specific physical problem in order to achieve joint goals and accomplish tasks;
7. effectively demonstrate their knowledge, skills and abilities in front of the listeners, present them in an accessible manner;
8. apply advanced educational teaching and educational technologies in teaching activities;
9. to evaluate learning outcomes using modern technologies;
10. to encourage and motivate students to achieve a productive learning outcomes;
11. create content to provide distance learning;
12. show interest and respect for their profession, achieve high qualifications, evaluate the prospects of teaching and research activities.

Program passport

Speciality Name
Theoretical Nuclear Physics
Speciality Code
7M05316
Faculty
of Physics and Technology

disciplines

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

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

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

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

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

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.

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

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

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

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

Propagation of waves in random media
  • Number of credits - 6
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline to provide master students with the basic knowledge from the theory of multiple scattering of waves in random media, which helps explaining the fundamental laws of the interaction of radiation with the medium and does not fit into the framework of the standard theory of transfer. During the study of course, master students should be competent in: 1. to recognize the relationship between the solution of the wave equation and the radiation distribution function over the angles and coordinates of the classical theory of transport; 2. understand the principles of describing wave scattering using the Dyson equation under conditions of weak localization (the radiation wavelength is much less than the mean free path); 3. own methods of averaging the wave equation over the positions of point scatterers in the case of media with different geometry; 4. to study the principles of taking into account the effects of coherent reflection from a semi-infinite medium with point scatterers; 5. to use diagramming techniques to analyze solutions of the wave equation (fan and ladder diagrams). When studying a discipline, master students will study the following aspects: The relationship between the solution of the wave equation (wave field) and the radiation distribution function over the angles and coordinates, which appears in the classical theory of transport. Averaging the moments of the wave field over random realizations of the arrangement of scatterers. Average field and average Green function. Diagram technique and Dyson equation for mean Green's function. Dyson equation in conditions of weak localization. The distribution function of the unscattered field in the case of a point source in an infinite medium. The equation for the distribution function of unscattered radiation in an infinite medium. Dyson equation in a semi-infinite medium with scatterers of finite dimensions. Spatial diffusion of radiation in an infinite medium from a point source. Reflection of radiation from a semi-infinite medium with point scatterers taking into account the effects of coherent reflection and refraction at the boundary of the medium. The nature of the abnormal reflection of x-rays from a rough surface. Coherent backscatter radiation. Coherent backscattering spectrum in the double scattering approximation for point scatterers. The equation for the sum of the upper (cyclic) diagrams (point scatterers). The relationship of the sum of fan diagrams with the sum of ladder diagrams (point diffusers).

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

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

Data for 2021-2024 years

disciplines

Cosmology
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline to familiarize master students with modern cosmological models including the models of the gravitational instability of the Universe, inflation and the formation of the initial spectrum of density perturbations, and the Universe expansion at very early stages and early stages of its evolution. The skills and knowledge obtained as a result of mastering this discipline will be used in conducting of scientific research. During the study of course, master students should be competent in: 1. recognize the main cosmological models: Friedman, de Sitter, the hot Universe, inflation hypotheses; 2. understand the basic properties of a very early universe: domain walls, strings, hedgehogs, monopoles and textures; 3. apply the basic properties of relativistic star clusters; 4. possess the theory of star evolution: Hertzsprung-Russell diagram, G. Bethe theory of evolution; 5. own the theory of inflation: the superearly Universe, the inflation hypothesis, the problem of dark matter, the inflation model and the formation of the initial spectrum of density perturbations. When studying a discipline, master students will study the following aspects: Homogeneous and isotropic models. The Friedman Universe 1. The form of the metric in the Friedmann record and in the Robertson – Walker record. Christoffels for FRW metrics. Ricci tensor. Friedman Universe 2. Full Hilbert action. The Friedman equation from the variational principle. Practical cosmology. Hubble parameter or constant, density parameter. Decision Behavior in Friedman Models. Cosmography: distances in the universe. Photometric distance, the derivation of the formula for its connection with the cosmological redshift of the source. Forms of matter-energy in the universe. Dark Matter and Dark Energy. The balance of superdense stars, the energy of accretion. Relativistic stars. Metric inside a spherically symmetric star. Relativistic binding energy. The equation of mechanical equilibrium of a star. Particle energy in the field of a star in GR. Rotating black holes, Kerr metric (no output). Circular and radial movement in the field of Schwarzschild and Kerr. Particle orbits and energy release during accretion in the Kerr metric. Physics of supernovae and gamma-ray bursts. Ergosphere. Physics of supernovae and gamma-ray bursts. Active galactic nuclei, supermassive black holes and quasars.

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

Methods of statistical physics
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline to introduce master students into modern methods for treating of multiparticle systems. These methods include the nonequilibrium diagram technique, continuous integration in the problem of the motion of electrons in a conductor with impurities, and the impurity diagram technique. During the study of course, master students should be competent : 1. understand the basic principles of the theoretical description of multiparticle nonequilibrium systems;; 2. recognize the apparatus of Green functions of non-equilibrium systems; 3. apply skills to calculate the Green's functions of nonequilibrium systems by the methods of continuous integration; 4. own elements of nonequilibrium diagram technique; 5. carry out spatial averaging of physical quantities. When studying a discipline, master students will study the following aspects: Green functions of a nonequilibrium system. Representation of the density matrix of the system in the form of a continuous integral over commuting (bosons) and anti-commuting (fermions) variables. Expressions for nonequilibrium Green functions in terms of the path integral. Generating functionality. Advanced and retarded Green functions, F - function. Diagram technique for nonequilibrium Green functions. Dyson equation. Linear relationships between elements of the mass operator for bosons and fermions. Equation for leading and retarded Green's functions. Representation of the collision integral in the kinetic equation in terms of Green's functions and elements of the mass operator. A series of perturbation theory of interaction for the mass operator. Summation of series of diagrams for vertices. Collision integral. Anti-commuting (Grassmann) variables. Averaging over the position of impurities. The relationship between the potential correlator and the mean free path. Expression for conductivity through a current correlator. Representation of Green's functions through integrals over supervectors. Averaging of Green's functions and their correlators over the position of impurities. Dyson equation for retarded Green's function. Solution of the Bethe - Salpeter equation for δ - correlated potential. Diffusion asymptotics. Long range correlations.

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

Relativistic astrophysics and cosmology
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline on teaching master students of modern mathematical models of astrophysical objects. The skills and knowledge obtained within the course can be used in the conducting of research.

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

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

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