Second quantization. Multiparticle systems. Applications of second quantization. Rotations and angular momentum. Angular momenta algebra. Group theory applications in quantum mechanics. Spin and spinors. Scattering theory. Particle in a magnetic field. Landau levels. Path integral formulation of classical and quantum mechanics. Relativistic quantum mechanics. Klein-Gordon equation. Multiparticle interpretation. Dirac equation. Gamma-matrices and their algebra. Bispinors. Gauge invariance in QM. Spontaneous symmetry breaking.
[(PHYS 405 with min. grade of C and PHYS 406 with min. grade of C) OR (PHYS 509 with min. grade of C)]