SubjectsSubjects(version: 877)
Course, academic year 2020/2021
Advanced Quantum Mechanics - AP126004
Title: Advanced Quantum Mechanics
Guaranteed by: Department of Solid State Engineering (126)
Actual: from 2019
Semester: both
Points: 0
E-Credits: 0
Examination process:
Hours per week, examination: 3/0 other [hours/week]
Capacity: winter:unlimited / unknown (unknown)
summer:unknown / unknown (unknown)
Min. number of students: unlimited
Language: English
Teaching methods: full-time
For type: doctoral
Note: you can enroll for the course in winter and in summer semester
Guarantor: Siegel Jakub doc. Ing. Ph.D.
Interchangeability : P126004
Annotation -
Last update: Pátková Vlasta (19.11.2018)
Quantum mechanics has fundamental importance in the study of materials fields. It allows understanding the principles of behavior of infinitely small objects ranging from nanostructures to single atoms and even to subatomic objects. Students will be acquainted with the mathematical apparatus necessary for quantum-mechanical description of the particle assemblies in isolated form and in the presence conservative and non-conservative force fields. This course extends knowledge of students in the field of harmonic processes in quantum mechanics, study of transport of electric charge in solids, or in the field of the Schrödinger equation of the crystal. Last but not least, the students will be acquainted with the important parameters of electrons in terms of their transport in solids. The problems of velocity, acceleration and effective weight of electron in k-state and the concept of hole and hole-conductivity will be explained.
Aim of the course -
Last update: Pátková Vlasta (19.11.2018)

Students will learn:

Basic mathematical apparatus of quantum mechanics.

Build Hamiltonian for conservative and non-conservative force fields.

Assemble the Schrödinger equation of fundamental systems.

Determine transport behavior of electron (velocity, acceleration) in coordinate representation and k-state.

Literature -
Last update: Pátková Vlasta (19.11.2018)

(R) F.L. Pilar, Elementary quantum chemistry, 1990, McGraw-Hill Publishing Company, New York.

(A) L.E. Ballentine, Quantum Mechanics: A Modern Developement, 1998, World Scientific Publishing, London.

Learning resources -
Last update: Pátková Vlasta (19.11.2018)

lecturer's materials

Teaching methods -
Last update: Pátková Vlasta (19.11.2018)


Requirements to the exam -
Last update: Pátková Vlasta (19.11.2018)


Syllabus -
Last update: Pátková Vlasta (19.11.2018)

1.Mathematical apparatus of QM

2.Physical quantities in QM

3.Harmonic processes from the perspective of classical physics

4.Harmonic processes in QM

5.Velocity, acceleration, Ehrenfest theorems

6.Conservative and non-conservative forces

7.Schrödinger equation of crystal

8.Electron in a periodic potential field


10.Effective weight of the electron

11.Electron velocity in k-state

12.Electron acceleration in k-state

Entry requirements -
Last update: Pátková Vlasta (19.11.2018)


Registration requirements -
Last update: Pátková Vlasta (19.11.2018)


Course completion requirements -
Last update: Pátková Vlasta (19.11.2018)

Oral exam