Hamiltonian systems in accelerator physics

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General features of the design of annular particle accelerators or storage rings are outlined and the Hamiltonian character of individual-ion motion is indicated. Examples of phase plots are presented, for the motion in one spatial degree of freedom, of an ion subject to a periodic nonlinear focusing force. A canonical transformation describing coupled nonlinear motion also is given, and alternative types of graphical display are suggested for the investigation of long-term stability in such cases. 7 figs.

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Pages: 15

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Laslett, L.J. June 1, 1985.

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Description

General features of the design of annular particle accelerators or storage rings are outlined and the Hamiltonian character of individual-ion motion is indicated. Examples of phase plots are presented, for the motion in one spatial degree of freedom, of an ion subject to a periodic nonlinear focusing force. A canonical transformation describing coupled nonlinear motion also is given, and alternative types of graphical display are suggested for the investigation of long-term stability in such cases. 7 figs.

Physical Description

Pages: 15

Notes

NTIS, PC A02/MF A01.

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  • Orbital dynamics and applications to accelerators workshop, Berkeley, CA, USA, 7 Mar 1985

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  • Other: DE85016565
  • Report No.: LBL-19797
  • Report No.: CONF-8503105-8
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 5317545
  • Archival Resource Key: ark:/67531/metadc1074193

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Office of Scientific & Technical Information Technical Reports

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  • June 1, 1985

Added to The UNT Digital Library

  • Feb. 4, 2018, 10:51 a.m.

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  • April 24, 2018, 7:16 p.m.

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Laslett, L.J. Hamiltonian systems in accelerator physics, article, June 1, 1985; [Berkeley,] California. (digital.library.unt.edu/ark:/67531/metadc1074193/: accessed August 15, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.