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401-2334-00L 6 Credits BSC D-PHYS , D-MATH

Mathematical Methods of Physics II

Mathematische Methoden der Physik II

Lecturers & Examiners: Dr. Fabian Ziltener
VVZ CR n/a

Last Updated: 2026-06-03 00:38:03

Abstract

Group theory: groups, representation of groups, unitary and orthogonal groups, Lorentz group. Lie theory: Lie algebras and Lie groups. Representation theory: representation theory of finite groups, representations of Lie algebras and Lie groups, physical applications (eigenvalue problems with symmetry).

Objective

The students will be able to: (1) name various examples of groups (finite groups, matrix groups), determine the symmetry groups of simple geometric objects, and apply basic notions of group theory (is a group abelian, connected? Subgroups, normal subgroups, factor groups?); (2) define representations of finite groups, determine and interpret character tables, and analyze representations (irreducibility, canonical decomposition); (3) define matrix Lie groups and Lie algebras and name typical examples, and connect Lie groups and Lie algebras via the exponential map and the Campbell-Baker-Hausdorff formula; (4) analyze representations of typical Lie algebras and Lie groups, in particular SU(2) and SO(3); decompose tensor products of representations of SU(2) and su(2) into irreducible components (Clebsch-Gordan).

Resources

Learning Materials (Links)

General Information

Language
German
Levels
BSC
Frequency
Yearly recurring

Examination

Type
session examination
Mode
written 120 minutes
Aids
3 A4-Seiten Notizen, die selbst von Hand auf Papier geschrieben sind. (Das entspricht eineinhalb beidseitig beschriebenen A4-Blättern.) Andere Hilfsmittel (zum Beispiel Bücher, Formelsammlungen und Taschenrechner) sind nicht erlaubt, ausser ein Übersetzungswörterbuch Muttersprache – Deutsch.

Course Components

Type Title Time & Place Hours
lecture Mathematische Methoden der Physik II
  • Tue 10:15-11:00 (HG G 5)
  • Thu 10:15-12:00 (HG G 5)
3 h weekly
exercise Mathematische Methoden der Physik II
Groups are selected in myStudies. Übungen Do 8-10 (bzw. Mi 16-18 Ausweichtermin)
  • Wed 16:15-18:00 (CAB G 56)
  • Wed 16:15-18:00 (ETZ E 9)
  • Thu 08:15-10:00 (CAB G 52)
  • Thu 08:15-10:00 (CAB G 56)
  • Thu 08:15-10:00 (HG E 33.1)
  • Thu 08:15-10:00 (HG E 33.3)
  • Thu 08:15-10:00 (HG G 26.5)
  • Thu 08:15-10:00 (ML F 34)
2 h weekly

Offered In