The appreciation of stochastic motion in particle accelerators Metadata

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  • Main Title The appreciation of stochastic motion in particle accelerators


  • Author: Symon, Keith
    Creator Type: Personal
  • Author: Sessler, Andrew
    Creator Type: Personal


  • Sponsor: USDOE Director. Office of Science. Office of High Energy and Nuclear Physics. Division of High Energy Physics
    Contributor Type: Organization


  • Name: Lawrence Berkeley National Laboratory
    Place of Publication: Berkeley, California
    Additional Info: Ernest Orlando Lawrence Berkeley National Laboratory, Berkeley, CA (United States)


  • Creation: 2003-08-03


  • English


  • Content 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.


  • Keyword: Resonance
  • STI Subject Categories: 43 Particle Accelerators
  • Keyword: Physics
  • Keyword: Proton Beams
  • Keyword: Colliding Beams
  • Keyword: Accelerators
  • Keyword: Hamiltonians
  • Keyword: Nuclear Physics


  • Conference: Dynamical Chaos in Classical and Quantum Physics, Budker Institute of Nuclear Physics,Novosibirsk,Russia, August 4-9, 2003


  • Name: Office of Scientific & Technical Information Technical Reports
    Code: OSTI


  • Name: UNT Libraries Government Documents Department
    Code: UNTGD

Resource Type

  • Article


  • Text


  • Report No.: LBNL--55858
  • Report No.: CBP Note - 618
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 842368
  • Archival Resource Key: ark:/67531/metadc779420