270055 VO+UE Eigenschaften fester Materie (2015W)

1. Mathematical Background: Dirac notation, Observables, Operators

2. Crystal Structures and Symmetry (Point Groups, Space groups)
2.1. Molecular point groups (Symmetry point group/elements, point groups)
2.2. Crystal structure and lattices
2.3. Space groups
2.4. Reciprocal grid, Quasi crystals

3. Quantum mechanics for solid state (Block functions, tight binding, band structure, electron gas)
3.1. Schrödinger equation for periodic potentials, Bloch functions, Band structure part I
3.2. Hückel/Tight Binding theory
3.3. Electron gas – Band structure part II

4. Molecular structure theory
4.1. B-O, variational principle, Hartree-Fock theory

5. Density functional theory (DFT)
5.1 Introduction, Thomas-Fermi model
5.2 Spin density, functionals, plane wave DFT