Lecture
This lecture covers the longitudinal dynamics of particles in accelerators, including the evolution of particle velocity, acceleration mechanisms, energy gain, and unit of energy. It delves into the impact of RF fields on non-relativistic particles, dispersion functions, and the concept of momentum compaction. The lecture also explores resonance conditions, dynamic aperture, and the effects of nonlinearities on particle stability, with a focus on beam-beam interactions and chaotic behavior.