1. L) Postulates of Quantum Mechanics. The I quantization.
T) Representations and pictures in Quantum Mechanics.
2. L) Many-body systems: I quantization description.
T) Many-body systems: II quantization description
3. L) Elements of field theory for many-body systems I
T) Elements of field theory for many-body systems II
4. L) The formalism of the Green functions (fermions and bosons)
T) Lehman representation of Green-Functions
5. L) Interpretation of Green Functions.
T) Galitskii-Migdal theorems, correlation functions, etc.
6. L) The free fermion gas.
T) The Thomas-Fermi approximation. Bohm potential.
7. L) Density Functional theory: The Hohenberg-Kohn theorems.
T) Introduction to functional calculus. Euler-Lagrange equations.
8. L) Orbital free density functional theory.
T) Quantum hydrodynamics.
9. L) Practical DFT: Kohn-Sham equations.
T) Exchange-correlation functionals. (LDA)
10. L) Bosons. Bose-Einstein condensates.
T) Collective dynamics of Bose-Einstein condensates.
11. L) Gross-Pitaevsky equation. Excitations and collective modes.
T) Solitons. Traps for condensates for finite temperature.
12. L) From the integral Hall effect to the fractional Hall effect : Strong correlated systems
T) The theory of compound fermions.
13. L) Ginzburg–Landau theory of superconductivity I.
T) Ginzburg–Landau theory of superconductivity II.
14. L) Superconductivity: surface energy and thermodynamic critical field in Ghinzburg-Landau theory.
T) Vortex lattice. Josephson tunnelling.