论文标题
适用于药盒腔的时间相关电位的协变量哈密顿方法
Covariant Hamiltonian approach for time-dependent potentials applied to a pill-box cavity
论文作者
论文摘要
时间相关电位的常见处理，例如用于射频腔的电位，是通过参考粒子在空腔中花费的间隔平均平均电位的时间组成部分。这种方法使用所谓的运输时间因素，将时间用作哈密顿量的自变量。在本文中，我们提出了一个完全协变量的哈密顿量，以像其他任何空间组件一样处理电势的时间成分。我们展示了如何使用显式符号积分器计算药盒腔中粒子的动力学。最后，我们将结果与模拟器TraceWin进行比较。
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.
