PHY564 fall 2015
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Course Overview
This graduate level course focuses on the fundamental physics and explored in depth advanced concepts of modern particle accelerators and theoretical concept related to them.
Course Content
- Principle of least actions, relativistic mechanics and E&D, 4D notations
- N-dimensional phase space, Canonical transformations, simplecticity and invariants of motion
- Relativistic beams, Reference orbit and Accelerator Hamiltonian
- Parameterization of linear motion in accelerators, Transport matrices, matrix functions, Sylvester's formula, stability of the motion
- Invariants of motion, Canonical transforms to the action and phase variables, emittance of the beam, perturbation methods. Poincare diagrams
- Standard problems in accelerators: closed orbit, excitation of oscillations, radiation damping and quantum excitation, natural emittance
- Non-linear effects, Lie algebras and symplectic maps
- Vlasov and Fokker-Plank equations, collective instabilities & Landau Damping
- Spin motion in accelerators
- Types and Components of Accelerators
