Difference between revisions of "USPAS spring 2023"

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==Note==
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Lectures 1,2 and 4 will be taught remotely - Instructor will be at Conferences
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==Course Content==
 
==Course Content==
* Principle of least actions, relativistic mechanics and E&D, 4D notations
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The course will start with a description of Hamiltonian and non-Hamiltonian processes in particle accelerators. Examples of beam invariants, cooling decrements  and diffusion processes will be discussed. Four cooling methods - classical electron cooling, stochastic and optical stochastic cooling, and coherent electron cooling - and their applications will be presented in detail.
* N-dimensional phase space, Canonical transformations, symplecticity and invariants of motion
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* Relativistic beams, Reference orbit and Accelerator Hamiltonian
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* Parameterization of linear motion in accelerators, Transport matrices, matrix functions, Sylvester's formula, stability of the motion
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* Invariants of motion, Canonical transforms to the action and phase variables, emittance of the beam, perturbation methods. Poincare diagrams
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* Standard problems in accelerators: closed orbit, excitation of oscillations, radiation damping and quantum excitation, natural emittance
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* Non-linear effects, Lie algebras and symplectic maps
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* Vlasov and Fokker-Plank equations, collective instabilities & Landau Damping
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* Spin motion in accelerators
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* Types and Components of Accelerators
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Revision as of 17:35, 9 January 2023

Class meet time and dates Instructors
  • Monday to Thursday:

9:00-10:30: Lecture 1 10:45-12:15: Lecture 2 14:00-15:30: Lecture 3 16:00-16:30: HWs Q&A 19:30-21:00: Recitations, Discussions

  • Friday

9:00 - 11:00: Final Exam

  • Prof. Vladimir Litvinenko
  • Prof. Yichao Jing
  • Prof. Irina Petrushina
  • Dr. Jun Ma
Image: 600 pixels



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

The course will start with a description of Hamiltonian and non-Hamiltonian processes in particle accelerators. Examples of beam invariants, cooling decrements and diffusion processes will be discussed. Four cooling methods - classical electron cooling, stochastic and optical stochastic cooling, and coherent electron cooling - and their applications will be presented in detail.