If the colour codes change during the academic year to orange or red, modifications are possible, for example to the teaching and evaluation methods.

Course Code : | 2001WETAQM |

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: | English |

Exam period: | exam in the 1st semester |

Lecturer(s) | Bart Partoens |

At the start of this course the student should have acquired the following competences:

an active knowledge of

an active knowledge of

- English

Bachelor in physics with basic knowledge of quantum mechanics.

- The student can apply perturbation theory.
- The student can apply scattering theory.
- The student has a basic knowledge of relativistic quantum mechanics.
- The student has a basic knowledge of quantum field theory.

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

The course has an international dimension.

Class contact teachingLectures Practice sessions

Personal workAssignments Individually

Personal work

ExaminationWritten with oral presentation Closed book Open-question

Lecture notes are available.

* "Modern quantum mechanics", J. J. Sakurai, Addison Wesley

* "Quantum mechanics", F. Schwabl, Springer

* "Advanced quantum mechanics", F. Schwabl, Springer

* "Introduction to quantum mechanics", D. J. Griffiths, Benjamin Cummings

* "Relativistic quantum mechanics", W. Greiner, Springer

Bart Partoens

U316 Campus groenenborger

03 265 36 63

bart.partoens@uantwerpen.be

Bart Soree

bart.soree@uantwerpen.be