Hamiltonian Formalism for Solving the Vlasov-poisson Equations and Its Application to the Coherent Beam-beam Interaction
نویسندگان
چکیده
A Hamiltonian approach to the solution of the VlasovPoisson 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.
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تاریخ انتشار 2001