Non-relativistic QED
Module MA5073
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 description is valid from WS 2015/6 to SS 2016.
| Total workload | Contact hours | Credits (ECTS) |
|---|---|---|
| 90 h | 30 h | 3 CP |
Content, Learning Outcome and Preconditions
Content
(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.
(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.
Preconditions
basic quantum mechanics, analysis and linear algebra.
Courses, Learning and Teaching Methods and Literature
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.
Media
blackboard, typed lecture notes, slides
Literature
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
The exam may be repeated at the end of the semester.