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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2019/2020

Quantum Mechanics

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Code Completion Credits Range Language
02KVAN Z,ZK 6 4+2 Czech
Lecturer:
Martin Štefaňák (guarantor)
Tutor:
Jiří Maryška, Martin Štefaňák (guarantor), Antonín Hoskovec, Stanislav Skoupý
Supervisor:
Department of Physics
Synopsis:

The lecture describes the birth of quantum mechanics and description of one particle and more particles by elements of the Hilbert space as well as its time evolution. Besides that it includes description of observable quantities by operators in the Hilbert space and calculation of their spectra.

Requirements:

Absolutely necessary is good knowledge of hamiltonian formulation of classical mechanics, linear algebra including operation on infinitely dimensional spaces, calculus in several variables and Fourier analysis. Contact lecturer before inscription.

Syllabus of lectures:

1.Experiments leading to the birth of QM

2.De Broglie's conjecture, Schroedinger's equation

3.Description of states in QM

4.Elements of Hilbert space theory and operators

5.Harmonic oscilator

6.Quantization of angular momentum

7.Particle in the Coulomb field

8.Mean values of observables and transition probabilities

9.Time evolution of states

10.Particle in the electromagnetic field. Spin

11.Perturbation methods

12.Many particle systems

13.Potential scattering, tunnel phenomenon

Syllabus of tutorials:

Free particle

Harmonic oscilator

Coulomb potential

Study Objective:

knowledge:

The goal of the lecture is to explain fundamentals and mathematical methods of the quantum mechanics.

abilities:

apply mathematical methods to problems of quantum mechanics

Study materials:

Key references:

[1] P.A.M. Dirac, Principles of Quantum Mechanics, Oxford University Press,

Oxford 1958.

Recommended references:

[2] L. D. Faddeev and O. A. Yakubovskii: Lectures on Quantum Mechanics for Mathematics Students (Student Mathematical Library), AMS 2009.

Note:
Time-table for winter semester 2019/2020:
Time-table is not available yet
Time-table for summer semester 2019/2020:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2019-09-19
For updated information see http://bilakniha.cvut.cz/en/predmet11283105.html