This course focuses on the follwoing subjects:

1. The 1st quantization formalism
- Exchange symmetry/Slater determinant wave functions
- Representation of operators in the formalism
- Occupation number representation
- Free electron gas
- Interacting electron systems

2. The 2nd quantization formalism
- Fock space/Operators c and c+
- Kinetic energy operator in the 2nd quantized form
- Interaction energy operator in the 2nd quantized form
- Interaction energy in the 1st order perturbation theory

3. Diagrammatic approach
- Interaction picture
- perturbation theory in interaction picture
- Feynman diagrams and rules
- Dyson’s equation/self-energy
- Hartree/Hartree-Fock approximations

4. Equation-of-motion approach
- Chain structure
- Hartree-Fock approximation
-
5. Transport in noninteracting mesoscopic systems
- Landauer-Buttiker formula of conductance
- Conductance quantization

6. Tansport in interacting mesoscopic systems
- Sequential tunneling/Coulomb blockade
- Coherent tunneling
- Kondo effect



There will be homework assignments, midterm and final exams.

Textbook: Introduction to many-body quantum theory in condensed matter physics,
by H. Bruus and K. Flensberg