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Geometric integration for particle accelerators

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Étienne Forest

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This paper is a very personal view of the field of geometric integration in accelerator physics—a field where often work of the highest quality is buried in lost technical notes or even not published; one has only to think of Simon van der Meer Nobel prize work on stochastic cooling—unpublished in any refereed journal. So I reconstructed the relevant history of geometrical integration in accelerator physics as much as I could by talking to collaborators and using my own understanding of the field. The reader should not be too surprised if this account is somewhere between history, science and perhaps even fiction.


PACS

29.20.-c Accelerators

02.50.Ey Stochastic processes

MSC

65Cxx Probabilistic methods, simulation and stochastic differential equations (For theoretical aspects, see 68U20 and 60H35)

15A90 Applications of matrix theory to physics

Subjects

Computational physics

Accelerators, beams and electromagnetism

Nuclear physics

Instrumentation and measurement

Particle physics and field theory

Dates

Issue 19 (12 May 2006)

Received 12 September 2005, in final form 7 March 2006

Published 24 April 2006



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