Infopaket

Quantum electronics

ВК9

Вибіркова дисципліна для ОП

First

2022/2023

7 Semester

4

Obtaining systematic knowledge in the field of physics, which studies the symmetric aspects of optical spectroscopy on the example of analysis of vibrational and electronic spectra of molecules and crystals, elements of the theory of Raman scattering, taking into account the symmetry of the system. Understanding the importance of the symmetric description of a quantum system. Mastering the basic principles of group theory and the ability to apply them in calculating the electronic and vibrational states of a quantum system. Familiarity with the quantum theory of Raman scattering, and the rules of selection that determine the manifestations of crystal lattice vibrations in Raman spectra. Assimilation of modern experimental methods. Ability to apply these techniques in scientific work.

Full-time form

Knowledge of the main sections of general courses in mathematics and physics: "Mathematical analysis", "Electricity", "Optics", "Atomic physics", the main topics of theoretical physics courses "Quantum mechanics", "Electrodynamics”

Elements of group theory. Matrix representations are reducible and irreducible. Symmetric selection rules in quantum systems. The symmetry of atomic systems. Continuous groups. Infinitesimal operators. Application to the atom. Theoretical and group classification of molecular oscillations. Combination light scattering. Fundamentals of theory. Experimental methods. Rayleigh light scattering. Raman scattering (Raman scattering). Hyperrelay and hyper combinational scattering. KR tensor. Light propagation in anisotropic media. Frequency and spatial variance. Fresnel equation. crystal optics. Pointing surfaces. Uniaxial and biaxial crystals. Electronic states of molecules. Splitting of energy levels in external fields. Jan-Teller effect. Types of bonds in molecules. Group theory in the calculation of energy levels of complex molecules. Hückel's method. Electron-oscillating transitions. Frank-Condon principle. Complex tones.

1.Дж.Эллиот, П.Добер. Симметрия в физике (т.1,2), 1983. 2.С.Ю.Кутовий. Теорія груп в застосуванні до спектроскопії багатоатомних молекул, 2012. 3.У.Вустер. Применение тензоров и теории групп к изучению физических свойств кристаллов,1977. 4.И.А.Кенингстайн. Введение в теорию комбинационного рассеяния света. 1975. 5.С.Ю.Кутовий. Оптика неоднорідних та анізотропних середовищ, 2019. 6.Л.Ландау, Е.Лившиц. Квантовая механика, т.ІІІ. 1974. 7.Е.Вигнер. Теория групп и ее приложения к квантовомеханической теории. 1961. 8.John Ferraro, Kazuo, Nakamoto, Introductory Raman Spectroscopy, 1994.

Lections, student's independent work

Semester assessment (current control). When setting points for the module are taken into account: -the quality of processing of lecture material, knowledge, and understanding is checked during colloquia and 4 colloquia tests (10 to15 points each). -knowledge and understanding of the material, the degree of student activity in the pre-lecture survey, the quality of homework; the quality of the student's independent work in performing the relevant tasks for independent work; up to 10 points. - final assessment: exam (up to 40 points). Admission requirement: during the semester the student must score at least 36 points.

Ukrainian