药盒腔中时变势的协变哈密顿方法

E. Laface, B. Folsom
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引用次数: 2

摘要

与时间相关的势的常用处理方法,例如用于射频腔的那些,是通过参考粒子在腔中度过的间隔来平均势的时间分量。这种方法使用了所谓的瞬变时间因子,将时间作为哈密顿函数的自变量。在本文中,我们提出了一个完全协变哈密顿量来像对待任何其他空间分量一样对待势的时间分量。我们展示了如何使用显式辛积分器计算药盒腔中粒子的动力学。最后,将仿真结果与TraceWin进行了比较。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Covariant Hamiltonian approach for time-dependent potentials applied to a pill-box cavity
The common treatment of time-dependent potentials, such as those used for radio frequency cavities, is to average a potential's time component through the interval that the reference particle spends in the cavity. Such an approach, using the so-called transit-time factor, uses time as the independent variable in the Hamiltonian. In this paper, we instead propose a fully covariant Hamiltonian to treat the time component of the potential like any other space component. We show how to calculate the dynamics of the particles in a pill-box cavity using an explicit sympletic integrator. Finally, we compare the results with the simulator TraceWin.
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