Non-relativistic QED

Module MA5073

This Module is offered by TUM Department of Mathematics.

This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.

Basic Information

MA5073 is a semester module in English language at Master’s level which is offered irregular.

This Module is included in the following catalogues within the study programs in physics.

  • Catalogue of non-physics elective courses
Total workloadContact hoursCredits (ECTS)
90 h 30 h 3 CP

Content, Learning Outcome and Preconditions


(1) quantisation of charged particles interacting with the electromagnetic field, (2) minimally coupled and linearly coupled models of non-relativistic QED, (3) energy-momentum operators and their spectrum, (4) scattering states and the infraparticle problem, (5) the problem of asymptotic completeness.

Learning Outcome

At the end of the course students are able to understand the modern research literature on non-relativistic QED. They can apply techniques of spectral and scattering theory of operators on Hilbert spaces to various problems in mathematics and physics.


basic quantum mechanics, analysis and linear algebra.

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

VO 2 Non-relativistic QED Dybalski, W. Montag, 16:15–17:45
Donnerstag, 14:00–16:00
sowie einzelne oder verschobene Termine

Learning and Teaching Methods

I will use mainly blackboard, complemented by slides if sophisticated figures are involved. I will strive for an atmosphere of a friendly discussion in class by asking questions and giving students the possibility to solve simpler problems individually and in small groups. The students will be given a possibility to make their own discoveries even if it costs some time in class. To ensure that the goals of the course are met, I provide typed lecture notes and make them available online. These notes will be modified and improved, responding to students’ suggestions.


blackboard, typed lecture notes, slides


H. Spohn: Dynamics of charged particles and their radiation field. Cambridge University Press, 2004.

Module Exam

Description of exams and course work

The exam will be in an oral form (20 minutes) asking the students to precisely formulate definitions, main tools and results of non-relativistic QED. The students are expected to apply the methods of spectral and scattering theory covered in the lectures to specific examples. They are also asked to outline the proofs of the main results.

Exam Repetition

There is a possibility to take the exam at the end of the semester.

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