Covariant Hamiltonian approach for time-dependent potentials applied to a pill-box cavity
The typical 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 a reference particle spends in the cavity. Such an approach, using the so-called transit-time factor, uses time as the independent...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2020-10-01
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| Series: | Physical Review Accelerators and Beams |
| Online Access: | http://doi.org/10.1103/PhysRevAccelBeams.23.104001 |
| Summary: | The typical 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 a 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 a potential’s time component like any other space component. We show how to calculate the dynamics of particles in a pill-box cavity using an explicit symplectic integrator. Finally, we compare the results with the simulator tracewin. |
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| ISSN: | 2469-9888 |