Covariant Hamiltonian approach for time-dependent potentials applied to a pill-box cavity
Accelerator Physics
2020-10-14 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2006.15910,
title = {Covariant Hamiltonian approach for time-dependent potentials applied to a pill-box cavity},
author = {Emanuele Laface and Benjamin Tyler Folsom},
journal= {arXiv preprint arXiv:2006.15910},
year = {2020}
}