B2 Symmetry and Relativity

B2 SYMMETRY AND RELATIVITY
Third year course, St. Catherine’s College, Michaelmas Term 2016.

course content

The Persistency of Memory

  • Lorentz transformations
  • four-vectors
  • electromagnetic fields of moving charges
  • classical field theory (classical Klein-Gordon & Dirac equations)
  • symmetries: CPT

bibliography

➡ Relativity made relatively easy, A. M. Steane (Oxford University Press)
Introduction to Special Relativity, W. Rindler (Oxford University Press)
Six not-so-easy pieces: Einstein’s relativity, symmetry and space-time, R. P. Feynman (Allen Lane)
Introducing Special Relativity, W. S. C. Williams (Taylor & Francis)

The Special Theory of Relativity, H. Muirhead (Macmillian)
An Introduction to Special Relativity and Its Applications, F. N. H. Robinson (World Scientific)
Classical Electrodynamics, J. D. Jackson
(John Wiley & Sons)

lecture notes

Part I: Lorentz transformations, dynamics, and kinematics
Part II: relativity & electromagnetism, tensors, and index notation
Part III: spinors
Part IV: classical field theory

See Prof. A. Steane’s website for more resources.

problem sets

All work should be handed in the day before the tutorial by 1pm. Please write your name and ‘B2’, and place it in the pigeonhole ‘A’ (Denys Wilkinson Building).

Problem Set 1 (due 25/Oct)
Problem Set 2 (due 2/Nov)
Problem Set 3 (due 9/Nov)
Problem Set 4 (due 23/Nov)
Problem Set 5 (due 30/Nov)

tutorials

1st Tutorial
Wednesday 26/Oct, Bernard Sunley room A at St. Catz.
Problems: 2, 3, 4, 5, 9, 10, 13, 14, 15, 16, 18

2nd Tutorial
Thursday 3/Nov, Quad 14.1 at St. Catz.
Problems: 1, 3, 4, 8, 10, 11, 12, 14, 15, 16, 17, 18

3rd Tutorial
Thursday 10/Nov, Bernard Sunley room A at St. Catz.
Problems: 2, 3, 4, 5, 6, 7, 11, 12, 14 (i, ii), 15

4th Tutorial
Thursday 24/Nov, Bernard Sunley room A at St. Catz.
Suggested reading: pages 303-314 of A. Steane’s book (tensors and index notation)
Problems: 1, 2, 4, 5 6, 7, 8, 9, 11, 14, 15, 16 (use index notation whenever possible)

5th Tutorial
Thursday 1/Dec, Bernard Sunley room A at St. Catz.
Suggested reading: An introduction to spinors
Problems: PS2: 20, 25; PS3: 16, 20; PS4: 17, 22, 23, 24, 25, 26, 27