PHYS 5308 focuses on the following key topics: Approximate Methods: Exploration of techniques such as time-independent and time-dependent perturbation theory, and the variational method, which are essential for analyzing systems where exact solutions are unattainable. Symmetry and Unitary Groups: Study of the role of symmetry in quantum mechanics, including the application of group theory and unitary transformations to understand conservation laws and selection rules. Scattering Theory: Introduction to the principles of quantum scattering, including partial wave analysis and the Born approximation, which are fundamental in understanding interactions at the quantum level. Prerequisite: PHYS 5307.