Difference between revisions of "PHY564 fall 2015"
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* Spin motion in accelerators | * Spin motion in accelerators | ||
* Types and Components of Accelerators | * Types and Components of Accelerators | ||
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| + | ==Learning Goals== | ||
| + | Students who have completed this course should: | ||
| + | * Have a full understanding of transverse and longitudinal particles dynamics in accelerators | ||
| + | * Being capable of solving problems arising in modern accelerator theory | ||
| + | * Understand modern methods in accelerator physics | ||
| + | * Being capable to fully understand modern accelerator literature | ||
| + | |||
| + | ==Main Texts and ''suggested materials''== | ||
| + | *Lecture notes presented after each class should be used as the main text. Presently there is no textbook, which covers the material of this course. | ||
| + | *''H. Wiedemann, "Particle Accelerator Physics" Springer, 2007 S. Y. Lee, "Accelerator Physics”, World Scientific, 2011'' | ||
| + | *''L.D. Landau, Classical theory of fields'' | ||
Revision as of 14:07, 24 August 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
Learning Goals
Students who have completed this course should:
- Have a full understanding of transverse and longitudinal particles dynamics in accelerators
- Being capable of solving problems arising in modern accelerator theory
- Understand modern methods in accelerator physics
- Being capable to fully understand modern accelerator literature
Main Texts and suggested materials
- Lecture notes presented after each class should be used as the main text. Presently there is no textbook, which covers the material of this course.
- H. Wiedemann, "Particle Accelerator Physics" Springer, 2007 S. Y. Lee, "Accelerator Physics”, World Scientific, 2011
- L.D. Landau, Classical theory of fields
