Vlasov and Fokker-Planck Equations

  • Helmut Wiedemann


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.


Synchrotron Radiation Storage Ring Planck Equation Vlasov Equation Phase Space Density 
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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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