Hamiltonian formalism for solving the Vlasov-Poisson equations and its applications to periodic focusing systems and coherent beam-beam interaction

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...

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Bibliographic Details
Main Authors: Stephan I. Tzenov, Ronald C. Davidson
Format: Article
Language:English
Published: American Physical Society 2002-02-01
Series:Physical Review Special Topics. Accelerators and Beams
Online Access:http://doi.org/10.1103/PhysRevSTAB.5.021001