Lectures in Symmetries and Conservation Laws

Royal Holloway and UCL Autumn 2001

Lecture notes

1. Introduction, Coordinate Transformations in QM
2. Generators, Symmetries, Conserved Quantities, Parity

Groups

1. Groups, Representations, Lie Groups
2. U(n), SU(n) and U(1)
3. SU(2)
, more on Adjoint
4. More on SU(2)
5. SU(3)
6. More on SU(3)
7. Hadron States
8. Standard Model, Rotation Matrices

Question sheets

1. Symmetries
2. Groups
3. SU(2)
4. SU(3)
5. Hadron States

Notes to further clarify Questions.

These will be marked. Please hand answers in to

• Dr. Fabrizio Salvatore, at Royal Holloway.
• Dr. Nikos Konstantinidis, at UCL.

My hope is that you will learn from the Questions and therefore be able to answer them to your satisfaction. If you have problems with them, do not hesitate to contact me.

Stephen Haywood      S.Haywood@rl.ac.uk    Tel 01235 446761