Physics – Accelerator Physics
Scientific paper
2001-10-04
Phys.Rev.ST Accel.Beams 5 (2002) 021001
Physics
Accelerator Physics
REVTEX, 19 pages, Submitted to the Physical Review Special Topics - Accelerators and Beams
Scientific paper
10.1103/PhysRevSTAB.5.021001
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.
Davidson Ronald C.
Tzenov Stephan I.
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