title: The appreciation of stochastic motion in particle accelerators
creator: Symon, Keith
creator: Sessler, Andrew
contributor: USDOE Director. Office of Science. Office of High Energy and
 Nuclear Physics. Division of High Energy Physics
publisher: Lawrence Berkeley National Laboratory
date: 2003-08-03
language: English
description: A description is given of the analytic and numerical work,
 performed from July 1955 through August 1956, so as to develop, and then
 study, the process of making intense proton beams, suitable for colliding
 beams. It is shown how this investigation led, in a most natural way, to the
 realization that stochasticity can arise in a simple Hamiltonian system.
 Furthermore, the criterion for the onset of stochasticity was understood, and
 carefully studied, in two different situations. The first situation was the
 proposed (and subsequently used) ''stacking process'' for developing an
 intense beam, where stochasticity occurs as additional particles are added to
 the intense circulating beam. The second situation occurs when one seeks to
 develop ''stochastic accelerators'' in which particles are accelerated
 (continuously) by a collection of radio frequency systems. It was in the last
 connection that the well-known criterion for stochasticity, resonance overlap,
 was obtained.
subject: Resonance
subject: 43 Particle Accelerators
subject: Physics
subject: Proton Beams
subject: Colliding Beams
subject: Accelerators
subject: Hamiltonians
subject: Nuclear Physics
source: Dynamical Chaos in Classical and Quantum Physics, Budker Institute of
 Nuclear Physics,Novosibirsk,Russia, August 4-9, 2003
type: Article
format: Text
identifier: rep-no: LBNL--55858
identifier: rep-no: CBP Note - 618
identifier: grantno: AC03-76SF00098
identifier: osti: 842368
identifier: https://digital.library.unt.edu/ark:/67531/metadc779420/
identifier: ark: ark:/67531/metadc779420