Principles of Quantum Field Theory

Description: We study the physical foundations of quantum mechanics, approximate methods in quantum theory, motion in the Central field, identical particles, modern methods in quantum mechanics; and also formed students ' knowledge of approaches to the description of quantum systems, and the skills of solving specific quantum mechanical problems.

Amount of credits: 5

Пререквизиты:

• Electricity and Magnetism
• Physical Optics

Course Workload:

Component: University component

Cycle: Profiling disciplines

Goal

• The goals of mastering the discipline "Fundamentals of Quantum Theory" are to provide students with knowledge and skills in the field of mathematical and natural science knowledge related to the fundamental section of theoretical physics-quantum theory, to develop practical skills for solving physical problems in the field of quantum theory, to obtain a fundamental basis for studying other sections of theoretical physics.

Objective

• - formation of students ' ideas about modern theoretical concepts in the field of quantum mechanics; - acquisition of skills for obtaining quantitative estimates of the main parameters that characterize the properties of quantum systems; - formation of approaches to research in various fields of physics and analysis of the results obtained; - development of skills based on the obtained theoretical knowledge, allowing to develop qualitative and quantitative physical models for the study of the properties of quantum systems in a wide range of parameters.

Learning outcome: knowledge and understanding

• - methods of information processing and analysis in the field of quantum theory; - methods of mathematical description of quantum-mechanical phenomena and processes; - practical skills in solving quantum mechanical problems.

Learning outcome: applying knowledge and understanding

• - present and critically analyze the main provisions of quantum theory; - find corrections to the energy and wave function based on approximate methods of quantum perturbation theory in the simplest models and probabilities of transitions under the influence of perturbations; - correctly interpret the main results of the theory, the results of solutions to specific quantum mechanical problems.

Learning outcome: formation of judgments

• - ability to abstract thinking, analysis, synthesis; - the ability to use the knowledge of modern problems and the latest achievements of physics in research work; - the ability to independently set specific tasks of scientific research in the field of physics and solve them with the help of modern equipment and information technologies.

Learning outcome: communicative abilities

• willingness to communicate orally and in writing in the state language and in a foreign language to solve the problems of professional activity.

Learning outcome: learning skills or learning abilities

• To study theoretical and practical issues in the field of quantum physics.

Teaching methods

When conducting training sessions, the following educational technologies are provided: - interactive lecture (using the following active forms of learning: guided discussion or conversation; moderation; demonstration of slides or educational films; brainstorming; motivational speech); - building scenarios for various situations based on the specified conditions; - information and communication technology (for example, classes in a computer class using professional software packages); - search and research (independent research activity of students in the learning process); - the solution of educational tasks.

Assessment of the student's knowledge

Teacher oversees various tasks related to ongoing assessment and determines students' current performance twice during each academic period. Ratings 1 and 2 are formulated based on the outcomes of this ongoing assessment. The student's learning achievements are assessed using a 100-point scale, and the final grades P1 and P2 are calculated as the average of their ongoing performance evaluations. The teacher evaluates the student's work throughout the academic period in alignment with the assignment submission schedule for the discipline. The assessment system may incorporate a mix of written and oral, group and individual formats.

The evaluating policy of learning outcomes by work type

Evaluation form

The student's final grade in the course is calculated on a 100 point grading scale, it includes:

• 40% of the examination result;
• 60% of current control result.

The final grade is calculated by the formula:

 

Where Midterm 1, Midterm 2are digital equivalents of the grades of Midterm 1 and 2;

E is a digital equivalent of the exam grade.

Final alphabetical grade and its equivalent in points:

The letter grading system for students' academic achievements, corresponding to the numerical equivalent on a four-point scale:

Topics of lectures

• The place and subject of quantum mechanics in the physics course
• Corpuscular wave dualism
• Heisenberg indeterminacy relations
• Equations of relativistic quantum theory
• Schrеdinger time and stationary equations
• The passage of moving particles through the potential barrier
• General properties of uniform motion
• Linear operators
• Operator concept of uncertainty relation
• Linear hormonal oscillator
• Operator of Orbital moment momentum in Cartesian and spherical coordinate systems
• General properties of motion in the field of central symmetry
• Hydrogen atom, theorems, forms, and energy spectrum
• Electronic spin
• Quantum mechanical approximation method

Key reading

• 1. Сборник задач по теоретической физике. Под ред. Гречко Л.Г. и др. М. Высш. шк., 1984. - 319 с., 1972. 2. Левич В.Г., Вдовин Ю.А., Мямлин В.А. Курс теоретической физики. Для физ.-техн. вузов и фак. 2-е изд., Т.2. Квантовая механика. Квантовая статистика и физическая кинетика. М.: Наука, 1971. 936 с. 3. Фок В.А. Начала квантовой механики. Изд. 2-е, М.: Наука, 1976. 374 с. 4. Дирак П.А. Принципы квантовой механики. М.: Физматгиз, 1960. 434 с. 5. Мессиа А. Квантовая механика. М.: Наука, 1978. 480 с. 11 6. Галицкий В.М., Карнаков Б.М., Коган В.И. Задачи по квантовой механике. М.: Едиториал УРСС, 2001. 300 с. 7. Флюгге З. Задачи по квантовой механике. М.: Мир, Т.1 1974. 341 с. 8. Флюгге З. Задачи по квантовой механике. М.: Мир, Т.2 1974. 315 с.

Further reading

• 1. Блохинцев Д.И. Основы квантовой механики. М., Лань, 2004. - 664 с. [ЭБС ”Лань”]. 2. Ландау Л.Д., Лифшиц Е.М. Квантовая механика. Нерелятивистская теория. - 6-е изд., испр. - Москва : ФИЗМАТЛИТ, 2008. - 800 с. 3. Давыдов А.С. Квантовая механика. C-Пб.: БХВ-Петербург, 2011. - 704 с. [ЭБС "АЙБУКС"].