SubjectsSubjects(version: 895)
Course, academic year 2021/2022
Basic of quantum mechanics - M126003
Title: Základy kvantové mechaniky
Guaranteed by: Department of Solid State Engineering (126)
Actual: from 2020
Semester: winter
Points: winter s.:5
E-Credits: winter s.:5
Examination process: winter s.:
Hours per week, examination: winter s.:3/0 Ex [hours/week]
Capacity: unlimited / unknown (unknown)
Min. number of students: unlimited
Language: Czech
Teaching methods: full-time
For type: Master's (post-Bachelor)
Note: course can be enrolled in outside the study plan
enabled for web enrollment
Guarantor: Siegel Jakub doc. Ing. Ph.D.
Interchangeability : N126007
Annotation -
Last update: Hladíková Jana (04.01.2018)
Quantum mechanics has a fundamental importance in the study of material fields. It allows to understand the behavior of very small objects ranging from from nanostructures to single atoms and even subatomic objects. It represents a way to formulate laws describing the phenomena in materials and apply them to the understanding of new ones. The course focuses on understanding the apparatus of quantum mechanics and its application in the study of fundamental problems of microcosm.
Aim of the course -
Last update: Hladíková Jana (04.01.2018)

Students will be able to:

Explain basic relations and operations with operators in the coordinate representation.

Apply mathematical tools needed to solve quantum-mechanics problems of microsystems, build the appropriate Schrödinger equation.

Solve the basic problems arising from the approximation of quantum-mechanical harmonic oscillator.

Present quantum-mechanical solution of particle in the field of central forces.

Literature -
Last update: Hladíková Jana (04.01.2018)

R: Written materials of lecturer

R: A.S.Davidov, Quantum mechanics, SPN Praha, 1986. ISBN 80-7235-960-6

A: L.Skála, Introduction to Quantum Mechanics, Academia, 2005. ISBN 80-2001-316-4

Learning resources -
Last update: Hladíková Jana (04.01.2018)

Educational materials for lectures available at the teacher.

Requirements to the exam -
Last update: Hladíková Jana (04.01.2018)

Active participation in lectures.

Solving tasks in the exercises.

Syllabus -
Last update: Hladíková Jana (04.01.2018)

1. Introduction to quantum theory.

2. Basic mathematical apparatus of quantum theory.

3. Postulates of quantum mechanics.

4. Theorems of commensurability of quantities, Heisenberg uncertainty principle.

5. Introduction to theory of representation.

6. Time dependence of wave functions and operators.

7. Linear harmonic oscillator (LHO) in the x-representation.

8. Solution of LHO in the energy representation.

9. LHO in the representation of occupation numbers.

10. The movement of particles in the field of central forces (I).

11. The movement of particles in the field of central forces (II).

12. Hydrogen atom (I).

13. Hydrogen atom (II).

14. Hydrogen atom (III).

Registration requirements -
Last update: Hladíková Jana (04.01.2018)

Mathematics II, Physics II

Course completion requirements - Czech
Last update: Siegel Jakub doc. Ing. Ph.D. (20.02.2018)

Úspěšné složení ústní zkoušky

Teaching methods
Activity Credits Hours
Účast na přednáškách 1,5 42
Příprava na přednášky, semináře, laboratoře, exkurzi nebo praxi 0,5 14
Příprava na zkoušku a její absolvování 3 84
5 / 5 140 / 140