• DocumentCode
    1798500
  • Title

    Automation of the matrix formalism the field equations and equations of motion

  • Author

    Andrianov, Serge N. ; Kirsanov, Alexander V.

  • Author_Institution
    St. Petersburg State Univ., St. Petersburg, Russia
  • fYear
    2014
  • fDate
    June 30 2014-July 4 2014
  • Firstpage
    1
  • Lastpage
    2
  • Abstract
    In this paper we are considering the problem of automated construction of symbolic representations of objects needed for modeling (analytical and numerical) control systems for charged particle beams. The basis of the approach is the matrix formalism for Lie algebraic methods describing the evolution of the particle beam as a collective object in the nonlinear electromagnetic fields.
  • Keywords
    Lie algebras; beam handling techniques; control systems; field equations; Lie algebraic method; automated symbolic object representations construction; charged particle beam; collective object; equation-of-motion; field equation; matrix formalism; matrix formalism automation; modeling control system; nonlinear electromagnetic field; particle beam evolution; Electromagnetics; Equations; Mathematical model; Particle accelerators; Particle beams; Structural beams; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Beam Dynamics and Optimization (BDO), 2014 20th International Workshop on
  • Conference_Location
    St. Petersburg
  • Print_ISBN
    978-1-4799-5319-6
  • Type

    conf

  • DOI
    10.1109/BDO.2014.6889995
  • Filename
    6889995