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
MA5073 is a semester module
in English language
at Master’s level
which is offered irregular.
This module description is valid from WS 2015/6 to SS 2016.
|Total workload||Contact hours||Credits (ECTS)|
(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.
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.
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.
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.
The exam may be repeated at the end of the semester.