PHY564 fall 2015

Class meet time and dates	Instructors
When: Mon, 4:00p-7:00p Where: Brookhaven National Laboratory, Building 820	Prof. Vladimir Litvinenko Prof. Yichao Jing Prof. Gang Wang

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