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This chapter begins by introducing particle accelerators in their scientific and historical context. It reviews methods in Lagrangian and Hamiltonian dynamics as well as special relativity in a unified way in order to build up the tools needed to examine the dynamics of charged particle beams.

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It notes that these general subjects gave way to describing the motion of charged particles in beams. It investigates the notion of phase space, and the conservation of its density in Hamiltonian systems — the Louiville theorem. It introduces the concept of the design trajectory that allows nearby trajectories to be defined.

Introduction to beam physics - Oxford Scholarship

It adds that the design trajectory also gives one the freedom to analyse the motion using distance along such a trajectory as the independent variable, instead of time. Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

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Not registered? Sign up. Topics covered include: transfer matrices, mechanics and electrodynamics, nonlinear motion, differential algebra, the structure of the classes, computer implementations, nonlinear maps, one pass systems, and repetitive systems.

MSU Spring Semester online graduate courses in Beam Physics

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Equilibrium with beams and masses

An Introduction to Beam Physics. Paperback 1. Description of this Book An Introduction to Beam Physics covers the principles and applications of differential algebra, a powerful new mathematical tool.

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