Degenerate perturbation theory, fine and hyperfine structure of the hydrogen atom, Zeeman effect. Variational principle and applications, WKB approximation and applications. Quantum scattering in one dimension, S-matrix, quantum scattering in three dimensions, cross section, partial waves, phase shifts, optical theorem, low-energy scattering, Green’s functions, Born series and Born approximation. Periodic structures in quantum mechanics, scattering from a lattice, Bloch theorem, Floquet matrix, Brillouin zones. Time-dependent perturbation theory, Dyson series, interaction with electromagnetic fields, selection rules. Density matrix, quantum entanglement, von Neumann entropy, quantum information, quantum measurement and experimental data, Bell inequalities.