Quantum Mechanics of Many Particles

Exchange Symmetry --- Bosons and Fermions --- 1,2,3,...N particles ----- Permanents and Slater Determinants

Occupation Number and Fock Space --- Creation Annihilation Operators --- Writing States and Operators in 2nd Quantized forms

Free Fermions and Fermi Sea --- Interacting Fermions --- Perturbation Theory and Hartree Fock Approx.

Bosons and BEC --- Spontaneously broken symmetry --- Canonical Transformations and Bogoliubov Theory.