135.045 Introduction to quantum electrodynamics
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2022S, VO, 2.0h, 3.0EC
TUWEL

Properties

  • Semester hours: 2.0
  • Credits: 3.0
  • Type: VO Lecture
  • Format: Presence

Learning outcomes

After successful completion of the course, students are able to...

  • derive the Klein-Gordon equation and the Dirac equation from the Schrödinger equation,
  • solve expressions with Dirac matrices,
  • apply general Lorentz transformations to spinors,
  • provide solutions to the Dirac equation,
  • explain the Klein paradox,
  • explain the interaction with the electromagnetic field,
  • summarize the derivation of the Pauli equation,
  • describe the Foldy-Wouthuysen transformation,
  • sketch the derivation of the energy levels of the hydrogen atom,
  • list the fine structure as well as other corrections,
  • describe the quantization of free fields (scalar field, Dirac field, electromagnetic field),
  • explain the Gupta Bleuler formalism,
  • describe the Casimir effect,
  • summarize fundamental aspects of perturbation theory (interaction picture, S-matrix, LSZ reduction formula, Wick theorem),
  • explain and draw Feynman diagrams,
  • list the Feynman rules and apply them to diagrams,
  • estimate the divergences of radiative corrections (self-energy of the electron, vacuum polarization),
  • enumerate possibilities of regularization,
  • summarize the dimensional regularization,
  • present renormalization schemes,
  • describe the anomalous magnetic moment of the electron,
  • describe the Lamb shift,
  • sketch the infrared problem and the Bloch-Nordsieck mechanism.

Subject of course

Dirac equation; interaction with electromagnetic fields; Lorentz transformations; H-atom, fine structure; quantization of free fields; Gupta-Bleuler quantization; perturbation theory; Feynman rules; radiative corrections; dimensional regularization; renormalization; anomalous magnetic moment of the electron; Lamb shift; infrared problems and Bloch-Nordsieck mechanism; renormalization group

Teaching methods

Blackboard presentation based on the lecture notes by Prof. Rebhan.

Voluntary exercises should help to apply the content of the lectures.

Flipped classroom: The course content is made available in recorded lectures. In-depth examples and questions about the material are possible in the TUWEL forum as well as in the lecture units on site.

Mode of examination

Written and oral

Additional information

The lecture is held in English.

The first lecture starts at 10.15. The first lecture take place on site.

2022S: The lecture will be held in blocked form (two units per week) and will end in mid-May.

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Mon10:00 - 12:0007.03.2022 - 27.06.2022Sem.R. DB gelb 10 Introduction to quantum electrodynamics
Thu12:00 - 14:0017.03.2022Sem.R. DB gelb 05 A Introduction to quantum electrodynamics
Introduction to quantum electrodynamics - Single appointments
DayDateTimeLocationDescription
Mon07.03.202210:00 - 12:00Sem.R. DB gelb 10 Introduction to quantum electrodynamics
Mon14.03.202210:00 - 12:00Sem.R. DB gelb 10 Introduction to quantum electrodynamics
Thu17.03.202212:00 - 14:00Sem.R. DB gelb 05 A Introduction to quantum electrodynamics
Mon21.03.202210:00 - 12:00Sem.R. DB gelb 10 Introduction to quantum electrodynamics
Mon28.03.202210:00 - 12:00Sem.R. DB gelb 10 Introduction to quantum electrodynamics
Mon04.04.202210:00 - 12:00Sem.R. DB gelb 10 Introduction to quantum electrodynamics
Mon25.04.202210:00 - 12:00Sem.R. DB gelb 10 Introduction to quantum electrodynamics
Mon02.05.202210:00 - 12:00Sem.R. DB gelb 10 Introduction to quantum electrodynamics
Mon09.05.202210:00 - 12:00Sem.R. DB gelb 10 Introduction to quantum electrodynamics
Mon16.05.202210:00 - 12:00Sem.R. DB gelb 10 Introduction to quantum electrodynamics
Mon23.05.202210:00 - 12:00Sem.R. DB gelb 10 Introduction to quantum electrodynamics
Mon30.05.202210:00 - 12:00Sem.R. DB gelb 10 Introduction to quantum electrodynamics
Mon13.06.202210:00 - 12:00Sem.R. DB gelb 10 Introduction to quantum electrodynamics
Mon20.06.202210:00 - 12:00Sem.R. DB gelb 10 Introduction to quantum electrodynamics
Mon27.06.202210:00 - 12:00Sem.R. DB gelb 10 Introduction to quantum electrodynamics

Examination modalities

Written exam at the end of the term or oral exam by appointment.

2022S: The written exam will take place on site (or via Zoom if necessary) on May 16, 2022.

Exams

DayTimeDateRoomMode of examinationApplication timeApplication modeExam
Mon10:00 - 12:0026.06.2023Sem.R. DA grün 05 written01.02.2023 12:00 - 25.06.2023 23:59TISSExam

Course registration

Begin End Deregistration end
28.01.2022 12:00 27.03.2022 12:00 26.06.2022 12:00

Registration modalities

Registration takes place in TISS. (Registration is without commitment, and does not result in an automatic issuing of a certificate.)

Curricula

Literature

Lecture notes for this course are available from the lecturer:

  • A. Rebhan: Introduction to Quantum Electrodynamics: PDF
    (Available in spiral binding from the lecturer for 5 €)

Further literature:

  • Bjorken/Drell: Relativistic quantum mechanics
  • Itzykson/Zuber: Quantum Field Theory

Previous knowledge

Bachelor courses in electrodynamics and quantum theory.

Language

English