1 - Space charge force
2 - Effects of space charge in circular accelerators
3 - Wake fields and coupling impedances
4 - Effects of wake fields in linear accelerator: the Beam Break Up example
5 - Brief remarks on effects of wake fields in circular accelerators.
1- maths: differential equations and Fourier transform.
2- mechanics: free and driven oscillators.
3- basic electromagnetism and boundary conditions.