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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
Credits:6
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