Quantum mechanics
| Code | Completion | Credits | Range | Language |
|---|---|---|---|---|
| 02KVAN | Z,ZK | 6 | 4+2 | Czech |
- Lecturer:
- Ladislav Hlavatý (gar.)
- Tutor:
- Ladislav Hlavatý (gar.), Václav Potoček, Martin Štefaňák
- 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 2011/2012:
- Time-table is not available yet
- Time-table for summer semester 2011/2012:
- Time-table is not available yet
- The course is a part of the following study plans: