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2021S, VO, 2.0h, 3.0EC

## Properties

• Semester hours: 2.0
• Credits: 3.0
• Type: VO Lecture
• LectureTube course
• Format: Distance Learning

## 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.

Online mode: The course content is made available in recorded lectures. Questions about the material are possible in the TUWEL forum as well as in zoom question times.

## Mode of examination

Written and oral

The lecture is held in English.

The first lecture starts at 10.00.

Online mode: the first lecture take place via zoom.

## Examination modalities

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

Online mode: written and oral exams take place via zoom.

## Course registration

Begin End Deregistration end
29.01.2021 12:00 28.03.2021 12:00 27.06.2021 12:00

### Registration modalities

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

## Literature

Lecture notes for this course are available:

• A. Rebhan: Introduction to Quantum Electrodynamics: PDF
(Available in spiral binding at the secretary's office of the institute for 5 €)

Further literature:

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

## Previous knowledge

Bachelor courses in electrodynamics and quantum theory.

English