Subjects

Advanced Quantum Mechanics - P126004

Title:	Pokročilá kvantová mechanika
Guaranteed by:	Department of Solid State Engineering (126)
Faculty:	Faculty of Chemical Technology
Actual:	from 2020
Semester:	both
Points:	0
E-Credits:	0
Examination process:
Hours per week, examination:	3/0, other [HT]
Capacity:	winter:unknown / unknown (unknown) summer:unknown / unknown (unknown)
Min. number of students:	unlimited
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time
Level:
For type:	doctoral
Note:	course is intended for doctoral students only can be fulfilled in the future you can enroll for the course in winter and in summer semester

Guarantor:	Siegel Jakub prof. Ing. Ph.D.
Is interchangeable with:	AP126004

Examination dates

Annotation -

Last update: Siegel Jakub prof. Ing. Ph.D. (07.06.2018)

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: Siegel Jakub prof. Ing. Ph.D. (07.06.2018)

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: Siegel Jakub prof. Ing. Ph.D. (12.09.2018)

(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: Siegel Jakub prof. Ing. Ph.D. (07.06.2018)

lecturer's materials

Teaching methods -

Last update: Siegel Jakub prof. Ing. Ph.D. (07.06.2018)

lectures

Requirements to the exam -

Last update: Siegel Jakub prof. Ing. Ph.D. (07.06.2018)

none

Syllabus -

Last update: Siegel Jakub prof. Ing. Ph.D. (07.06.2018)

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

9.Quasiimpuls

10.Effective weight of the electron

11.Electron velocity in k-state

12.Electron acceleration in k-state

Entry requirements -

Last update: Siegel Jakub prof. Ing. Ph.D. (07.06.2018)

none

Registration requirements -

Last update: Siegel Jakub prof. Ing. Ph.D. (07.06.2018)

none

Course completion requirements -

Last update: Siegel Jakub prof. Ing. Ph.D. (07.06.2018)

Oral exam