289662 Mathematical Physics (S) (SoSe 2020)
Contents, comment
-
The Mathematical Physics Seminar "Selected Topics of Symmetries in Physics" aims to convey a deeper understanding of the role and application of symmetries in particle physics.
The content is structured in two blocks: the first block is on important tools in representation theory;
the second block is about the application of those tools to the representation theory of Lie groups, in particular in the context of particle physics.The preliminary schedule lists possible topics for seminar contributions of interested students. A seminar talk takes about 60 min.
Every topical block is by the introduced by a lecture to give some context for the more specific talks.Topical Block I - Representation Theory and Character Theory
21.04. Introduction, Overview on Representation Theory (Unger)
28.04. Overview on Character Theory (Unger)
05.05. Topic I-1: Schur Polynomials (Participant)
12.05. Topic I-2: Young Projectors, Applications (Participant)
19.05. Topic I-3: Frobenius Formula, Recursion Formulae for Characters (Participant)
26.05. Topic I-4: Schur-Weyl Duality (Participant)Topical Block II - Lie Groups and Algebras in Particle Physics
02.06. Overview on Lie Algebras (Unger)
09.06. Overview on Irreps on SU(N), su(N) (Unger)
16.06. Topic II-1: Roots and Weights (Participant)
23.06. Topic II-2: Casimir Operators, Applications (Participant)
30.06. Topic II-3: Haar Measure and Invariant Integration (Participant)
07.07. Topic II-4: Tensor Methods, Applications (Participant)
14.07. Topic II-5: Polynomial Representations of SU(N), Applications (Participant)
Requirements for participation, required level
-
Either Symmetries in Physics or Particle Physics
Bibliography
-
- Hermann Weyl: The Classical Groups,
Princeton University Press, 1939
- Morton Hammersh: Group Theory and its Application to Physical Problems,
Addison Wesley, 1962
- Howard Georgi: Lie Algebras in Particle Physics,
Westview Press, 1999
Teaching staff
Dates ( Calendar view )
| Frequency | Weekday | Time | Format / Place | Period |
|---|
Subject assignments
| Module | Course | Requirements | |
|---|---|---|---|
| 28-M-MP Mathematische Physik | Seminar zu Mathematische Physik | Ungraded examination
|
Student information |
The binding module descriptions contain further information, including specifications on the "types of assignments" students need to complete. In cases where a module description mentions more than one kind of assignment, the respective member of the teaching staff will decide which task(s) they assign the students.
The seminar is suitable for Master students in "Physik" or "Mathematische und Theoretische Physik", but also interested PhD students and advanced Bachelor students with some basic knowledge of Symmetries in Physics are welcome.
- E-Learning Space
- E-Learning Space
- Registered number: 7
- This is the number of students having stored the course in their timetable. In brackets, you see the number of users registered via guest accounts.
- Address:
- SS2020_289662@ekvv.uni-bielefeld.de
- This address can be used by teaching staff, their secretary's offices as well as the individuals in charge of course data maintenance to send emails to the course participants. IMPORTANT: All sent emails must be activated. Wait for the activation email and follow the instructions given there.
- If the reference number is used for several courses in the course of the semester, use the following alternative address to reach the participants of exactly this: VST_200964946@ekvv.uni-bielefeld.de
- Coverage:
- 4 Students to be reached directly via email
- Notes:
- Additional notes on the electronic mailing lists
- Email archive
- Number of entries 0
- Open email archive
- Last update basic details/teaching staff:
- Thursday, April 23, 2020
- Last update times:
- Thursday, April 9, 2020
- Last update rooms:
- Thursday, April 9, 2020
- Type(s) / SWS (hours per week per semester)
- seminar (S) / 2
- Language
- This lecture is taught in english
- Department
- Faculty of Physics
- Questions or corrections?
- Questions or correction requests for this course?
- Planning support
- Clashing dates for this course
- Links to this course
- If you want to set links to this course page, please use one of the following links. Do not use the link shown in your browser!
- The following link includes the course ID and is always unique:
- https://ekvv.uni-bielefeld.de/kvv_publ/publ/vd?id=200964946
- Send page to mobile
-
Click to open QR code
Scan QR code:
- ID
- 200964946