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2024S, 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 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.

## Mode of examination

Written and oral

The lecture is held in English.

Organisational meeting and start March 4, 2024, 11:15, SemR DB10 yellow tower.

## Course dates

DayTimeDateLocationDescription
Mon10:00 - 12:0004.03.2024 - 24.06.2024Sem.R. DB gelb 10 Introduction to quantum electrodynamics
Mon12:00 - 13:0004.03.2024 - 24.06.2024Sem.R. DB gelb 10 Vorlesung QED
Introduction to quantum electrodynamics - Single appointments
DayDateTimeLocationDescription
Mon04.03.202410:00 - 12:00Sem.R. DB gelb 10 Introduction to quantum electrodynamics
Mon04.03.202412:00 - 13:00Sem.R. DB gelb 10 Vorlesung QED
Mon11.03.202410:00 - 12:00Sem.R. DB gelb 10 Introduction to quantum electrodynamics
Mon11.03.202412:00 - 13:00Sem.R. DB gelb 10 Vorlesung QED
Mon18.03.202410:00 - 12:00Sem.R. DB gelb 10 Introduction to quantum electrodynamics
Mon18.03.202412:00 - 13:00Sem.R. DB gelb 10 Vorlesung QED
Mon08.04.202410:00 - 12:00Sem.R. DB gelb 10 Introduction to quantum electrodynamics
Mon08.04.202412:00 - 13:00Sem.R. DB gelb 10 Vorlesung QED
Mon15.04.202410:00 - 12:00Sem.R. DB gelb 10 Introduction to quantum electrodynamics
Mon15.04.202412:00 - 13:00Sem.R. DB gelb 10 Vorlesung QED
Mon22.04.202410:00 - 12:00Sem.R. DB gelb 10 Introduction to quantum electrodynamics
Mon22.04.202412:00 - 13:00Sem.R. DB gelb 10 Vorlesung QED
Mon29.04.202410:00 - 12:00Sem.R. DB gelb 10 Introduction to quantum electrodynamics
Mon29.04.202412:00 - 13:00Sem.R. DB gelb 10 Vorlesung QED
Mon06.05.202410:00 - 12:00Sem.R. DB gelb 10 Introduction to quantum electrodynamics
Mon06.05.202412:00 - 13:00Sem.R. DB gelb 10 Vorlesung QED
Mon13.05.202410:00 - 12:00Sem.R. DB gelb 10 Introduction to quantum electrodynamics
Mon13.05.202412:00 - 13:00Sem.R. DB gelb 10 Vorlesung QED
Mon27.05.202410:00 - 12:00Sem.R. DB gelb 10 Introduction to quantum electrodynamics
Mon27.05.202412:00 - 13:00Sem.R. DB gelb 10 Vorlesung QED

## Examination modalities

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

## Exams

DayTimeDateRoomMode of examinationApplication timeApplication modeExam
Mon16:00 - 18:0030.09.2024Sem.R. DA grün 05 written03.06.2024 00:00 - 29.09.2024 23:59TISSIntroduction to QED (written exam)
Mon16:00 - 18:0023.06.2025Sem.R. DA grün 05 written29.01.2025 12:00 - 22.06.2025 23:59TISSExam
Mon16:00 - 18:0029.09.2025Sem.R. DA grün 05 written02.06.2025 00:00 - 28.09.2025 23:59TISSIntroduction to QED (written exam)

## Course registration

Begin End Deregistration end
02.02.2024 12:00 31.03.2024 12:00 30.06.2024 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