DOAJ Open Access 2020

Covariant Hamiltonian approach for time-dependent potentials applied to a pill-box cavity

E. Laface B. T. Folsom

Abstrak

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.

Topik & Kata Kunci

Nuclear and particle physics. Atomic energy. Radioactivity

Penulis (2)

E. Laface

B. T. Folsom

Format Sitasi

APA MLA BibTeX

Laface, E., Folsom, B.T. (2020). Covariant Hamiltonian approach for time-dependent potentials applied to a pill-box cavity. https://doi.org/10.1103/PhysRevAccelBeams.23.104001

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Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.1103/PhysRevAccelBeams.23.104001
Akses: Open Access ✓