F8600 Lie groups in physics

Faculty of Science
Spring 2023
Extent and Intensity
2/0/0. 2 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
Teacher(s)
doc. Klaus Bering Larsen, Ph.D. (lecturer)
Guaranteed by
doc. Klaus Bering Larsen, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: doc. Klaus Bering Larsen, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Timetable
Mon 18:00–19:50 FLenc,03028
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The examples from quantum theory will demonstrate the importance of the group theory for physics.
Learning outcomes
Students will be able to explain the basic properties of the rotation group, they will know about isospin and the group theory of the hydrogen atom. They will learn how to use Young diagrams.
Syllabus
  • Introduction. QM and rotation invariance. Representations. SU(2). Spin. Isospin. Hydrogen atom. SU(3). Representation of SU(N). Young tableaux.
Literature
  • CARTER, Roger, Graeme SEGAL and Ian MACDONALD. Lectures on lie groups and lie algebras. 1st pub. Cambridge: Cambridge University Press, 1995, 190 s. ISBN 0-521-49922-4. info
  • HELGASON, Sigurdur. Differential geometry, Lie groups, and symmetric spaces. New York: Academic Press, 1978, xv, 628. ISBN 0123384605. info
Teaching methods
Lectures.
Assessment methods
A short presentation of a relevant topic according to own choice.
Language of instruction
English
Further comments (probably available only in Czech)
The course is taught once in two years.
General note: S.
The course is also listed under the following terms Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2005, Spring 2007, Spring 2009, Spring 2011, spring 2012 - acreditation, Spring 2013, Spring 2015, Spring 2017, Spring 2019, Spring 2020, Spring 2022, Spring 2025.
  • Enrolment Statistics (Spring 2023, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2023/F8600