- Obtain an expression for the amplitude of oscillation of the quantum field oscillators as a function of radius from a single stationary electron, assuming there is nothing else in the universe.
- Prove the uniqueness of the QED Lagrangian.
- Explain how representation theory creates a physical difference between singlet and triplet atomic states.
- Explain the non electromagnetic-like terms in the linearized gravitational force law.
- Explain why the Yukawa-Wick argument uses E=mc^2 instead of the relativistic form.
- Understand Ohanian's "What is Spin?" paper.
- Explain why even spin mediators are always attractive.
- Derive the gauge transformation rule for fields from the concept of gauge transformations in EM.
- Prove the theorem about the metric and fully anti-symmetric tensor being the only relativistic invariant tensors.
- Spin tells you the number of indices
- Anything that can happen does happen (list some examples)
- There is no tree level flavor-changing neutral current (experimental fact, but is there a theoretical reason?)