Hamiltonian Formalism for Solving the Vlasov-Poisson Equations and Its Application to the Coherent Beam-Beam Interaction

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dc.creatorTzenov, Stephan I.
dc.creatorDavidson, Ronald C.
dc.date2001-06-01
dc.date.accessioned2026-07-07T11:32:47Z
dc.date.available2026-07-07T11:32:47Z
dc.descriptionA 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 coherent beam-beam interaction, and a stationary solution to the transformed Vlasov equation has been obtained.
dc.descriptionLaTeX, 3 pages, To be presented at the Particle Accelerator Conference (PAC 2001)
dc.identifierhttps://arxiv.org/abs/physics/0106003
dc.identifierhttp://arxiv.org/abs/physics/0106003
dc.identifierConf.Proc.C0106181:2075-2077,2001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197716
dc.subjectAccelerator Physics
dc.titleHamiltonian Formalism for Solving the Vlasov-Poisson Equations and Its Application to the Coherent Beam-Beam Interaction
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