Objectives of Programme's Learning Outcomes

• Understand the fundamentals
• Have a good knowledge and understanding of the basic principles of physics and of the role of models and theories.
• Demonstrate knowledge and understanding of mathematics suitable for the study of physics, and be able to use this mathematics in applications in the field of physics
• Undertake further study having already acquired and enhanced the necessary learning skills
• Provide clear and accurate information
• Communicate complex information to a qualified scientific partner
• Collaborate and work in a team
• Have developed practical skills in physics through practical sessions in the laboratory, including error analysis and critical evaluation of experimental results, and sessions during which they have worked individually and in groups.
• Have a rigorous scientific approach
• Solve simple problems in the context of physics by identifying their basic aspects and by using both appropriate theoretical and experimental methods
• Have integrated theoretical and/or practical skills during an introductory training session on scientific research

Learning Outcomes of UE

At the end of the course, the student must have learnt and should master the representation theory of finite groups. He/she must also know the basics of Lie groups and Lie algebra representation theory. In the case of SU(2), he/she must know the classification and explicit construction of all UIR's. He/she must be able to solve elementary problems in group theory.

Content of UE

Finite groups and their unitary irreducible representations (UIRs). Lie groups and algebras, their representations. Classification and explicit construction of the UIRs of SO(3) and SU(2). Haar measure. Cartan classification of semi-simple Lie algebras.

Prior Experience

Linear algebra.

Type of Assessment for UE in Q2

• Written examination

Q2 UE Assessment Comments

The exam consists of two parts. Part 1 on finite groups and Part 2 on Lie groups. 

Each of these two parts is marked over 20. The final mark is obtained by taking the geometrical mean of the two marks.
 

Type of Assessment for UE in Q3

• Written examination

Q3 UE Assessment Comments

The exam consists of two parts. Part 1 on finite groups and Part 2 on Lie groups. 

Each of these two parts is marked over 20. The final mark is obtained by taking the geometrical mean of the two marks.