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Course, academic year 2023/2024
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Problems in atomic and molecular physics - NBCM239
Title: Řešené problémy ve fyzice atomů a molekul
Guaranteed by: Department of Chemical Physics and Optics (32-KCHFO)
Faculty: Faculty of Mathematics and Physics
Actual: from 2021
Semester: winter
E-Credits: 3
Hours per week, examination: winter s.:2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
Guarantor: doc. Ing. Lucie Augustovičová, Ph.D.
Annotation -
Solution of model problems in atomic and molecular physics. The student will learn to apply variation and perturbation methods to real physical systems. Special attention will be paid to the molecular momenta, their coupling and the related breakdown into individual Hund’s cases. Intended for physics students, especially in the 1st year of master's study, as well as other candidates from higher grades.
Last update: Kapsa Vojtěch, RNDr., CSc. (16.09.2021)
Aim of the course -

Demonstration of various applications of quantum mechanics.

Last update: Augustovičová Lucie, doc. Ing., Ph.D. (16.09.2021)
Literature -

L. D. Augustovičová, J. Klimeš, Brain Workouts in Quantum Mechanics, MatfyzPress, Praha, 2021

D. Budker, D. F. Kimball, D. P. DeMille, Atomic Physics: An Exploration Through Problems and Solutions. Oxford University Press, 2004.

Y.-K. Lim, Problems and Solutions on Quantum Mechanics. World Scientiic, Singapore 1998.

L. Skála, Úvod do kvantové mechaniky. Karolinum, Praha 2012.

J. Klíma, M. Šimurda, Sbírka problémů z kvantové teorie. Academia, Praha 2006.

J. J. Sakurai, Modern Quantum Mechanics, Revised Edition. Addison-Wesley, Reading, Massachusetts 1994.

Last update: Augustovičová Lucie, doc. Ing., Ph.D. (16.09.2021)
Requirements to the exam -

The exam is oral and the requirements correspond to the syllabus of the subject in the range that was presented at the lecture.

Last update: Augustovičová Lucie, doc. Ing., Ph.D. (16.09.2021)
Syllabus -

1. Introduction and motivation examples

2. Basics of the variational calculus, examples

3. Application of variational calculus in the calculation of atomic and molecular spectra

4. Other applications of the variational calculus

5. Introduction to perturbation theory

6. Solving time-dependent problems

7. Angular momentum, coupling of momenta

8. Russell-Saunders and jj coupling, Hund's cases

9. Examples of the different types of diatomic molecules spectra

10. Manifestations of external fields in atomic and molecular spectra

11. Solution of selected problems of chemical physics

12. Other problems with overlap in the physics of solids, surfaces and plasma.

Last update: Augustovičová Lucie, doc. Ing., Ph.D. (16.09.2021)
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