This information sheet indicates how the course will be organized at pandemic code level yellow and green.
If the colour codes change during the academic year to orange or red, modifications are possible, for example to the teaching and evaluation methods.

Advanced Quantum Mechanics

Course Code :2001WETGKM
Study domain:Physics
Academic year:2020-2021
Semester:1st semester
Contact hours:60
Study load (hours):168
Contract restrictions: No contract restriction
Language of instruction:Dutch
Exam period:exam in the 1st semester
Lecturer(s)Bart Partoens

3. Course contents *

Although the knowledge of an introductoray course in quantum mechanics is necassary, this course starts with a description of the fundamental concepts of quantum mechanics and the construction of the mathematical formalism, and contains following topics

  • Fundamental concepts kets, bras, (compatible) observables, ...)
  • Position and momentum (Poisson brackets, position and momentum representation)
  • Quantum dynamics (Schrodinger and Heisenberg equations of motion)

In a next chapter, different approximation methods are introduced. The focus is also on the excercises. The topics include 

  • Time independent perturbation theory
  • Variational method
  • Time dependent perturbation theory

Next the quantum mechanical description of scattering experiments is introduced, including the

  • Lippmann-Schwinger equation
  • Born approximation
  • Optical theorem
  • Partial waves method
  • Scattering of two particles. Symmetry
  • Inelastic scattering

Finally and introduction to relativistic quantum mechanics is given with

  • Klein-Gordon equation
  • Dirac equation

and an introduction to field theory:

  • Canonical field quantisation: introduction)
  • Canonical quantisation of the Schroedinger field
  • Canonical quantisation of the Klein-Gordon & Dirac field
  • Canonical quantisation of the electro-magnetic (Maxwell) field