Classical Mechanics and Electromagnetism in Accelerator Physics

Preface.- Part I Classical Mechanics.- The Basic Formulation of Mechanics: Lagrangian and Hamiltonian Equations of Motion.- Canonical Transformations.- Action-angle Variables and Liouville's Theorem.- Linear and Non-Linear Oscillations.- Coordinate System and Hamiltonian for a Circular Accelerator.- Equations of Motion in Accelerators.- Action-Angle Variables for Betatron Oscillations.- Magnetic Field and Energy Errors.- Non-Linear Resonance and Resonance Overlapping.- The Kinetic Equation.- Part II Electricity and Magnetism.- Self Field of a Relativistic Beam.- Effect of Environment on Electromagnetic Field of a Beam.- Plane Electromagnetic Waves and Gaussian Beams.- Waveguides and RF Cavities.- Radiation and Retarded Potentials.- Dipole Radiation and Scattering of Electromagnetic Waves.- Transition and Diffraction Radiation.- Synchrotron Radiation.- Undulator radiation.- Formation Length of Radiation and Coherent Effects.- Topics in Laser-Driven Acceleration.- Radiation Damping Effects.- Part III End Matter.- Appendix A: Maxwell's Equations, equations of motion, and energy balance in an electromagnetic field.- Appendix B: Lorentz transformations and the relativistic Doppler effect.- Index.