Phys. Rev. ST Accel. Beams 5, 021001 (2002) [10 pages]Hamiltonian formalism for solving the Vlasov-Poisson equations and its applications to periodic focusing systems and coherent beam-beam interaction
Stephan I. Tzenov and Ronald C. Davidson Received 3 October 2001; published 4 February 2002 A Hamiltonian approach to the solution of the Vlasov-Poisson equations has been developed. Based on a nonlinear canonical transformation, the rapidly oscillating terms in the original Hamiltonian are transformed away, yielding a new Hamiltonian that contains slowly varying terms only. The formalism has been applied to the dynamics of an intense beam propagating through a periodic focusing lattice, and to the coherent beam-beam interaction. A stationary solution to the transformed Vlasov equation has been obtained. ©2002 The American Physical Society
URL: http://link.aps.org/abstract/PRSTAB/v5/e021001 [ Abstract | Previous article | Next article | Issue 2 ] |
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