Quantum Mechanics Iii

AY2014/2015 Semester 2

This course discusses quantum interactions between matter and electromagnetic fields. Time-independent perturbation theory - non-degenerate and degenerate. Variational method, ground state energy and eigenfunction. Born-Oppenheimer approximation. Hamiltonian in an electromagnetic field, vector potential, phase and Aharanov-Bohm effect. Dirac equation, spin, gyromagnetic ratio and antiparticles. Zeeman and Landau levels. Transitions - two-state system, Rabi oscillations, Larmor precession, magnetic resonance; time-dependent perturbation theory, Fermi's golden rule, scattering and Born approximation; radiative transition transitions; electric dipole approximation, quantised electromagnetic field. Quantum information - quantum cryptography, entanglement and teleportation; quantum computing.