Title :
Hamiltonian formalism for solving the Vlasov-Poisson equations and its application to the coherent beam-beam interaction
Author :
Tzenov, Stephan I. ; Davidson, Ronald C.
Author_Institution :
Plasma Phys. Lab., Princeton Univ., NJ, USA
Abstract :
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 coherent beam-beam interaction, and a stationary solution to the transformed Vlasov equation has been obtained
Keywords :
Poisson equation; Vlasov equation; integral equations; particle beam dynamics; transforms; Hamiltonian formalism; Vlasov-Poisson equations; charged particle beam evolution; coherent beam-beam interaction; collective self-field excitations; equilibrium beam densities; nonlinear canonical transformation; nonlinear integral equations; radiation effects; storage rings; Ear; Laboratories; Maxwell equations; Particle accelerators; Particle beams; Perturbation methods; Physics; Plasma applications; Poisson equations; Storage rings;
Conference_Titel :
Particle Accelerator Conference, 2001. PAC 2001. Proceedings of the 2001
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-7191-7
DOI :
10.1109/PAC.2001.987281
