• DocumentCode
    2150437
  • Title

    The WKB approximation and the travelling-wave acceleration cavity

  • Author

    Carey, David C.

  • Author_Institution
    Fermi Nat. Accel. Lab., Batavia, IL, USA
  • fYear
    1991
  • fDate
    6-9 May 1991
  • Firstpage
    1618
  • Abstract
    The WKB approximation of quantum mechanics is shown to yield a very accurate solution for massive particles. It allows both the amplitude and the wave number of the trajectory to vary as the cavity is traversed. Solutions are approximately 30 times more accurate than previously published. Comparisons are made with numerical integration.<>
  • Keywords
    beam handling equipment; beam handling techniques; quantum theory; WKB approximation; amplitude; massive particles; numerical integration; quantum mechanics; travelling-wave acceleration cavity; wave number; Acceleration; Electron accelerators; Equations; Ion accelerators; Laboratories; Oscillators; Particle accelerators; Particle beams; Proton accelerators; Quantum mechanics;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Particle Accelerator Conference, 1991. Accelerator Science and Technology., Conference Record of the 1991 IEEE
  • Conference_Location
    San Francisco, CA, USA
  • Print_ISBN
    0-7803-0135-8
  • Type

    conf

  • DOI
    10.1109/PAC.1991.164722
  • Filename
    164722