# Correlated Electrons

## Lecture details

The lecture will be given by Professor Koch.

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

**Description:**

- Atoms and transition metal ions
- Adding angular momenta
- Relativistic corrections
- Many-electrons: mean-field approximation
- Numerical solution of the radial Schrödinger equation
- Many-electrons: second quantization
- Atomic multiplets
- Exchange mechanisms
- Hubbard and Heisenberg model, Mott transition
- Crystal field theory

**Specialized learning goals:**

- Understanding the effects of electron correlation in finite systems and of the methods for their efficient simulation.

**General learning goals:**

- Planning and managing of a small scientific software project.
- Presentation and discussion of the results.

**
Recommended requirements:
**

- module Applied Quantum Mechanics

**
Literature:
**

- P. Fazekas: Lecture Notes on Electron Correlation and Magnetism, World Scientific, 1999

- E. Pavarini, E. Koch, F. Anders, and M. Jarrell: Correlated Electrons: From Models to Materials, Jülich, 2012
- P. Fulde: Electron Correlations in Molecules and Solids, Springer, 1995
- D.C. Mattis: The Theory of Magnetism Made Simple, World Scientific, 2006

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

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

Wed. 10.15am -11.45am |
GRS Lecture Room Aachen (001) |
13.04.2016 (14 dates) |

Thurs. 4.30pm - 6pm | GRS Lecture Hall, Jülich (2009) | 14.04.2016 (12 dates) |