Course overview
This course develops a deeper understanding of quantum mechanics through its formal structure, key approximation methods, and applications to physical systems. It builds on prior study of quantum mechanics by establishing a more complete operator-based framework, exploring symmetries and conservation laws, and developing tools for analysing realistic systems. Emphasis is placed on connecting mathematical structure to physical interpretation and on solving problems relevant to atomic, nuclear, and particle physics. The course prepares students for advanced study by strengthening analytical reasoning and theoretical problem-solving skills.
- Formal Structure and Symmetries
- Approximation Techniques
- Scattering Theory and Quantum Transitions
Course learning outcomes
- Apply the formal principles of quantum mechanics to analyse and model physical systems.
- Solve quantum mechanical problems using appropriate analytical techniques and approximation methods.
- Analyse quantum systems using operator methods, symmetry principles and mathematical representations of quantum states.
- Communicate quantum mechanical reasoning and calculations using appropriate mathematical notation and physical interpretation.