Path integrals.
The resolvent and Green functions.
Perturbation theory to infinite order.
Scattering theory (S matrix, T matrix, partial waves).
Transformations of the Hamiltonian and invariance.
Addition of angular momentum (advanced).
Identical particles (Fock space).
Quantization of the EM field (basic level).

• Path integrals.
• The resolvent and Green functions.
• Perturbation theory to infinite order.
• Scattering theory (S matrix, T matrix, partial waves).
• Transformations of the Hamiltonian and invariance.
• Addition of angular momentum (advanced).
• Identical particles (Fock space).
• Quantization of the EM field (basic level).

L.E.Ballentine, Quantum Mechanics (library code: QC 174.12.B35).
J.J. Sakurai, Modern Quantum mechanics (library code: QC 174.12.S25).
A. Messiah, Quantum Mechanics.