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Quantum Mechanics for Materials Engineering - N126007

Title:	Kvantová mechanika pro materiálové inženýrství
Guaranteed by:	Department of Solid State Engineering (126)
Faculty:	Faculty of Chemical Technology
Actual:	from 2019
Semester:	winter
Points:	winter s.:4
E-Credits:	winter s.:4
Examination process:	winter s.:
Hours per week, examination:	winter s.:2/1, C+Ex [HT]
Capacity:	unknown / unknown (unknown)
Min. number of students:	unlimited
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time
Level:
For type:
Note:	course can be enrolled in outside the study plan enabled for web enrollment

Guarantor:	Siegel Jakub prof. Ing. Ph.D.
Is interchangeable with:	M126003

Examination dates Schedule

Annotation -

Last update: Siegel Jakub prof. Ing. Ph.D. (02.09.2013)

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: TAJ126 (24.09.2013)

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: TAJ126 (23.09.2013)

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: TAJ126 (28.11.2013)

Educational materials for lectures available at the teacher.

Requirements to the exam -

Last update: Siegel Jakub prof. Ing. Ph.D. (02.09.2013)

Active participation in lectures.

Solving tasks in the exercises.

Syllabus -

Last update: Siegel Jakub prof. Ing. Ph.D. (02.09.2013)

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: Siegel Jakub prof. Ing. Ph.D. (02.09.2013)

Mathematics II, Physics II

Teaching methods
	Activity	Credits	Hours
	Konzultace s vyučujícími	0.5	14
	Účast na přednáškách	1	28
	Příprava na přednášky, semináře, laboratoře, exkurzi nebo praxi	1	28
	Příprava na zkoušku a její absolvování	1.5	42
	Účast na seminářích	1	28
		5 / 4	140 / 112

Coursework assessment
Form	Significance
Continuous assessment of study performance and course -credit tests	20
Oral examination	80