Quantum Mechanics 2
Code  Completion  Credits  Range  Language 

02QM2  Z,ZK  4  2+2 
 Lecturer:
 Craig Hamilton (guarantor)
 Tutor:
 Craig Hamilton (guarantor)
 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. Spin1/2 in homogeneous magnetic field
3. First and second order perturbation corrections
4. Ritz variation method for a helium atom.
5. Density matrix of a twolevel 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:
 Timetable for winter semester 2019/2020:
 Timetable is not available yet
 Timetable for summer semester 2019/2020:
 Timetable is not available yet
 The course is a part of the following study plans: