Syllabus for Symmetry and Group Theory in Physics

Symmetri och gruppteori

Syllabus

  • 5 credits
  • Course code: 1FA353
  • Education cycle: Second cycle
  • Main field(s) of study and in-depth level: Physics A1N

    Explanation of codes

    The code indicates the education cycle and in-depth level of the course in relation to other courses within the same main field of study according to the requirements for general degrees:

    First cycle
    G1N: has only upper-secondary level entry requirements
    G1F: has less than 60 credits in first-cycle course/s as entry requirements
    G1E: contains specially designed degree project for Higher Education Diploma
    G2F: has at least 60 credits in first-cycle course/s as entry requirements
    G2E: has at least 60 credits in first-cycle course/s as entry requirements, contains degree project for Bachelor of Arts/Bachelor of Science
    GXX: in-depth level of the course cannot be classified.

    Second cycle
    A1N: has only first-cycle course/s as entry requirements
    A1F: has second-cycle course/s as entry requirements
    A1E: contains degree project for Master of Arts/Master of Science (60 credits)
    A2E: contains degree project for Master of Arts/Master of Science (120 credits)
    AXX: in-depth level of the course cannot be classified.

  • Grading system: Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
  • Established: 2010-03-18
  • Established by:
  • Revised: 2018-08-30
  • Revised by: The Faculty Board of Science and Technology
  • Applies from: week 30, 2019
  • Entry requirements: 120 credits with Quantum Physics or equivalent. Nuclear Physics, Particle Physics and Solid State Physics are recommended.
  • Responsible department: Department of Physics and Astronomy

Learning outcomes

On completion of the course, the student should be able to:

  • apply symmetry considerations and group theory to solve problem within molecular physics, solid state physics and particle physics
  • analyse both discrete and continuous symmetries of physical systems using group theoretical tools
  • analyse properties of physical systems, such as transition probabilities, by means of representations
  • use Young tableaux, Clebsch-Gordan decomposition and Wigner-Eckart theorem in calculations
  • apply representation theory and decompose into irreducible representations
  • calculate Casimir operators for Lie groups, construct their root and weight diagrams and calculate roots and weights

Content

The course gives a general introduction to the description of symmetry properties of physical systems. Group theory and the theory of group representations. The Wigner-Eckart theorem. Young tableaux. Discrete groups: point groups, space groups and the permutation group with applications within molecular and solid state physics. Continuous groups and Lie algebra with applications within particle physics, such as the special unitary groups and the Lorentz and Poincaré the groups. General treatment of Lie groups.

Instruction

Lectures.

Assessment

Homework assignments. 
 
If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.

Syllabus Revisions

Reading list

Reading list

Applies from: week 30, 2019

  • Jones, H.F. Groups, Representations and Physics

    Taylor & Francis,

    Find in the library

    Mandatory

  • Tinkham, Michael Group theory and quantum mechanics

    Mineola, N.Y.: Dover Publications, 2003

    Find in the library