求解Vlasov-Poisson方程的Hamilton形式及其在相干光束相互作用中的应用
Hamiltonian Formalism for Solving the Vlasov-Poisson Equations and Its Application to the Coherent Beam-Beam Interaction
摘要：
本文发展了一种求解Vlasov-Poisson方程的Hamilton方法。基于非线性正则变换，原哈密顿量中的快速振荡项被变换掉，产生一个新的哈密顿量，它只包含慢变项。将该方法应用于相干光束-光束互作用，得到了变换后的Vlasov方程的定态解。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
