Category 'Best Course for Career Development'

Category 'Best Course for Broadening Horizons and Diversity of Knowledge and Skills'

Category 'Best Course for New Knowledge and Skills'

Delivered at:: Faculty of Mathematics

Course type:: Elective course

When:: 2 year, 3, 4 module

Instructor

Marshakov, Andrey

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Аннотация

This discipline belongs to the cycle of disciplines of theoretical education and the block of elective disciplines. The study of this discipline is based on the following disciplines: • basic courses in algebra and mathematical analysis; • course of the theory of dynamical systems; • courses of Hamiltonian mechanics and classical field theory; • partial differential equations course; • course of foundations of quantum mechanics.

Цель освоения дисциплины

Acquitance the students with the most important physical principles and models, research methods and mathematical structures of modern theoretical and mathematical physics
Experiencing with the algebraic and analytical machinery of modern mathematics, development of physical intuition and problem-solving skills, as well as the construction and study of mathematical models of physical phenomena

Планируемые результаты обучения

understanding of the basic physical principles and mathematical models, become proficient in the mathematical technique used for the analysis of such models, including methods of representation theory and integrable systems, the technique of generalized functions, functional integration, methods of string theory and gauge theories
possessing the skills of independent analysis of mathematical problems, show readiness for a creative approach in the implementation of scientific and technical problems, based on the systematic updating of acquired knowledge, skills and abilities and the use of the latest achievements in the field of mathematical physics; improvement of skills in scientific discussions and presentations at scientific seminars

Содержание учебной дисциплины

Supersymmetry and supersymmetric field theories. Superfield formalism
Integrable models of statistical physics: Ising model and ice model
The Yang-Baxter equation. Basics of the theory of quantum groups and the Bethe algebraic ansatz method

Элементы контроля

Доклад
Активность

Промежуточная аттестация

2024/2025 4th module
Для получения отличной оценки достаточно сделать содержательный доклад по самостоятельно выбранной и разобранной теме. Это требование не является необходимым, и в остальных случаях оценка пропорциональна активности и качеству участия в семинаре.

Список литературы

Авторы

Фейгин Евгений Борисович
Иконописцева Юлия Вахтанговна
Якубенко Елена Владимировна
Маршаков Андрей Владимирович
Нипан Марина Евгеньевна

Master’s Programme 'Mathematics'

Research Seminar "Mathematical Physics 2"

Instructor

Программа дисциплины