This course is designed to be the third in the sequence of required graduate quantum mechanics courses. Prerequisites are the successful completion of PHY 211 and PHY 212 or passing a test on the material covered in PHY 211 and PHY 212. PHY 315 builds upon the core formalism, concepts, and techniques of quantum mechanics. While both angular momentum and symmetries in quantum mechanics have been previously explored, they are unified in their treatment here. Scattering theory, first encountered in PHY 212, is treated with more depth and sophistication here. Many body quantum mechanics, quantization of the electromagnetic field, and the relativistic treatment of spin-1/2 particles are presented. These concepts are important for research in both the theoretical and experimental realms of particle physics, nuclear physics, quantum optics, quantum dots, quantum fabrication, etc.
The course provides exposure to the following topics:
This course also serves to develop the deep conceptual understanding of quantum mechanics using an appropriate level of mathematical rigor which is necessary for doctoral research.
(Each bullet represents one week.)