轴对称静电场中粒子非线性轨道的Lie代数分析

来源 :高能物理与核物理 | 被引量 : 0次 | 上传用户：hang_925

【摘要】

：

用Lie代数方法分析了相对论脉冲束在轴对称静电场中的非线性传输,得到粒子在六维相空间(x,x′,y,y′,τ,pτ)中的三级近似轨迹.在分析中,以静电加速管为例,把静电加速管分成

【作者】

：

吕建钦

【机构】

：

北京大学重离子物理研究所

【出处】

：

高能物理与核物理

【发表日期】

：

2004年期

【关键词】

：

轴对称静电场 Lie映射三级近似

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论文部分内容阅读

用Lie代数方法分析了相对论脉冲束在轴对称静电场中的非线性传输,得到粒子在六维相空间(x,x′,y,y′,τ,pτ)中的三级近似轨迹.在分析中,以静电加速管为例,把静电加速管分成三个单元,即入口膜片透镜-匀加速场-出口膜片透镜,对每个单元施加Lie变换,从而得到轨迹的各级近似.此方法可以推广到一般的轴对称静电场.

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轴对称静电场中粒子非线性轨道的Lie代数分析

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