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ELEPHANT: A MATLAB-code for Hamiltonians, Lie algebra, normal form and particle tracking
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, High Energy Physics.
2017 (English)Report (Other academic)
Abstract [en]

In this report we explain the structure and functionality of ELEPHANT: a MATLAB-code developed for particle tracking and treating Hamiltonians in the Lie formalism with applications for accelerator physics. The code can operate on Hamiltonians and using the similarity transform and the Campbell-Baker-Hausdorff formula to express a map as an effective Hamiltonian and a linear map.The code can also express a map in a normal form and from this calculate the amplitude-dependenttune-shifts. Finally, the code can analyze the standard linear transverse dynamics and do particletracking. The purpose of the code is to treat nonlinear fields analytically and cross-check with tracking results.

Place, publisher, year, edition, pages
2017. , p. 44
Series
FREIA Report ; 2017/09
Keyword [en]
Tracking code, nonlinear dynamics, normal form
National Category
Accelerator Physics and Instrumentation
Identifiers
URN: urn:nbn:se:uu:diva-334015OAI: oai:DiVA.org:uu-334015DiVA, id: diva2:1158505
Available from: 2017-11-20 Created: 2017-11-20 Last updated: 2017-11-21Bibliographically approved

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fulltext(3785 kB)29 downloads
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CiteExportLink to record
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Citation style
  • apa
  • ieee
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  • Other style
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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
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  • asciidoc
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