# 135.045 Introduction to quantum electrodynamics This course is in all assigned curricula part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_21",{id:"j_id_21",showEffect:"fade",hideEffect:"fade",target:"isAllSteop"});});This course is in at least 1 assigned curriculum part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_23",{id:"j_id_23",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});}); 2023S 2022S 2021S 2020S 2019S 2018S 2017S 2016S 2015S 2014S 2013S 2012S 2011S 2010S 2009S 2007W 2006W 2005W 2004W 2003W

2022S, VO, 2.0h, 3.0EC

## 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 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

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.

## 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 - 12:0024.06.2024Sem.R. DA grün 05 written31.01.2024 12:00 - 23.06.2024 23:59TISSExam
Mon10:00 - 12:0023.09.2024Sem.R. DB gelb 10 written28.02.2024 12:00 - 22.09.2024 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

Study CodeObligationSemesterPrecon.Info
033 261 Technical Physics Not specified
066 461 Technical Physics Mandatory elective
810 Technical Physics Mandatory elective

## 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.

English