Quantum Mechanics 2

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Physics

Synopsis:

The lecture expands the introduction to quantum mechanics with more general formalism of quantum theory or approximate methods.

Requirements:

Basic knowledge of classical mechanics, electromagnetism, theoretical physics, waves and optics, calculus and linear algebra.

Syllabus of lectures:

1. Dirac formalism

2. Linear harmonic oscillator, creation and annihilation operators

3. Particle in the electromagnetic field, spin of an electron

4. Zeeman effect

5. Algebraic theory of angular momentum

6. Time independent perturbation methods

7. Stark effect

8. Many particle systems

9. Potential scattering, tunneling phenomenon

10. Density matrix

Syllabus of tutorials:

1. Linear harmonic oscillator, creation and annihilation operators

2. Spin-1/2 in homogeneous magnetic field

3. First and second order perturbation corrections

4. Ritz variation method for a helium atom.

5. Density matrix of a two-level system, thermal state of a harmonic oscillator, Gibbs state.

Study Objective:

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.

[3] K. Gottfried, T. Yan: Quantum mechanics: Fundamentals, Springer, 2013.

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: