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Vlasov and Fokker-Planck Equations

  • Helmut Wiedemann

Abstract

Mathematical tools have been derived in previous chapters to describe the dynamics of singly charged particles in electromagnetic fields. While the knowledge of single-particle dynamics is essential for the development of particle beam transport systems, we are still missing a formal treatment of the behavior of multiparticle beams. In principle a multiparticle beam can be described simply by calculating the trajectories of every single particle within this beam, a procedure that is obviously too inefficient to be useful for the description of any real beam involving a very large number of particles.

Keywords

Synchrotron Radiation Storage Ring Planck Equation Vlasov Equation Phase Space Density 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer 2007

Authors and Affiliations

  • Helmut Wiedemann
    • 1
  1. 1.Department of Applied PhysicsStanford UniversityStanfordUSA

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