Correlated Electrons

Lectures

1. Introduction
   Theory of Almost Everything
   periodic table (pse tool)
   atomic orbitals, shell structure
   atoms in crystals
   example: magnetite
   atomic units
   slides and exercises
2. angular momentum
   general properties
   adding angular momenta
   slides and exercises
3. fine structure of hydrogen
   multi-electron atoms: self-consistent central-field approximation
   slides and exercises
4. Russel-Saunders Coupling and Hund's rules
   slides and exercises
5. direct exchange
   calculation of multiplet splitting: p²
   Slater integrals and Gaunt coefficients
   slides and exercises
6. direct exchange: orthogonal and non-orthogonal orbitals
   kinetic exchange
   slides and exercises
7. second quantization, field operators
   slides and exercises
8. second quantization: Slater determinants, Operators
   slides and projects
9. perovskite structure
   crystal-field theory: introduction to group theory
   slides and projects
10. octahedral crystal-field splitting
    Jahn-Teller effect
    slides

Student Projects

• Self-consistent calculations for atoms in the spherical-field approximation
  Kaustubh Bhat
• Multiplet energies from diagonalizing the Coulomb matrix
  Dimitrios Kyranas

Textbook