# Group Theory in Solid State Physics

## Lecture details

The lecture will be given by Professor Pavarini.

The following detailed description along with organizational issues can be found on the corresponding website

Content:

Symmetries and conservation laws. Abstract group theory. Theory of representations. Point groups. Space groups. Perturbation theory. Hydrogen atom and Runge-Lenz vector. Molecular states. Molecular vibrations. Crystal-field. Jahn-Teller theorem. Wigner-Eckart theorem. Selection rules. Bloch theorem and band structure from group theory. Spin-orbit and double groups. Kramers theorem. Time reversal symmetry. Magnetic groups. Many-electron states, statistic and symmetries. Atomic multi-electron states and multiplets. Chiral systems. Topological properties. Broken symmetry and Goldstone modes.

Learning Goals:

Students will become acquainted with group theory and its most important applications in contemporary solid state physics. They especially serve as preparation for the Master's thesis.

Literature:

1) Lecture Notes of the Autumn School on Correlated Electrons: from Models to Materials
(http://www.cond-mat.de/events/correl12/manuscripts/pavarini.pdf)

2) M.S. Dresselhaus, G. Dresselhaus, A. Jorio, "Group Theory - Applications to the Physics of Condensed Matter"

3) M. Tinkham, "Group Theory and Quantum Mechanics"

For the time schedule, you can also refer to the university calendar:

Time | Room | Start |
---|---|---|

Tues. 2.15pm - 5.15pm |
4272 (MBP1 015) |
27.10.2015 (14 dates) |

Thurs. 4.15pm - 5.45pm |
4272 (MBP1 015) |
29.10.2015 (14 dates) |