# Symmetry in Condensed Matter Physics

Symmetry in Condensed Matter Physics - Course material

### Part 1:

Theory of groups and their representations (*Paolo G. Radaelli*)

### Part 2:

Molecular vibrations and selection rules, rotational symmetry of spin and orbital states, crystal field effects, translational symmetry and electron/phonon dispersion relations (*Radu Coldea*)

**Lecture 1-8 Lecture Notes**

- Handouts[pdf] (revised on 5 Dec 2018)

**Lecture Slides**

- Lecture 1[pdf]
- Lecture 2[pdf]
- Lecture 3[pdf]
- Lecture 4[pdf]
- Lecture 5[pdf]
- Lecture 6[pdf]
- Lecture 7[pdf]
- Lecture 8 Molecular Vibrations [pdf]
- Lecture 9 IR and Raman selection rules[pdf]
- Lectures 10 and 11 rotational symmetry [pdf]
- Lectures 12 and 13 translational symmetry [pdf]

**Problem Sheets**

**Point-Group Character Tables**

**Additional material**

- A very useful paper on "How to read (and understand) the International Tables of Crystallography - Volume A"[pdf]
- Representations of the full rotation group SO(3)[pdf]
- A short clip where Hans Bethe explains the application of group theory to crystals

**Suggested readings**

- M.S. Dresselhaus, G. Dresselhaus and A. Jorio,
*Group Theory - Application to the Physics of Condensed Matter*, Springer-Verlag Berlin Heidelberg (2008). - V. Heine, Group Theory in Quantum Mechanics, Dover (2007)
- F.J. Nye,
*Physical Properties of Crystals*, Oxford Science Publications, Oxford University Press (1957)