Oxford, Fabian Essler C6 physics notes

Advances in Graphene, Majorana fermions, Quantum computation

New questions in quantum field theory from condensed matter theory

Second quantization

Ideal Fermi gas

Weakly interacting bose gas

From Hamiltonian can derive Gross-Pitaevskii equation

http://www.nii.ac.jp/qis/first-quantum/forStudents/lecture/pdf/qis385/QIS385_chap4.pdf

Bogoliubov approximation

Alternative using density matrix..

Spin waves in ferromagnets

Electrons in solids

Quantum liquids

Superconductors, superfluids

Trapped ultra-cold gases