F8600 Lie groups in physics

Faculty of Science
Spring 2019
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
prof. RNDr. Jana Musilová, CSc.
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
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 improtance of the group theory for physics.
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.
The course is taught: every week.
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 2020, Spring 2022, Spring 2023, Spring 2025.
  • Enrolment Statistics (Spring 2019, recent)
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