Dynamics of a relativistic charged particle in a constant homogeneous magnetic field and a transverse homogeneous rotating electric field
- 1 November 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 54 (5) , 5681-5691
- https://doi.org/10.1103/physreve.54.5681
Abstract
The relativistic motion of a charged particle in a homogeneous time-independent magnetic field and a transverse circularly polarized homogeneous electric field is reduced to an integrable form. Using canonical transformations, it is shown that the equations of motion can be derived from a one degree of freedom time-dependent Hamiltonian that has a first integral. The trajectories and the dynamics of the particle are studied. Tractable approximate expressions for the maximum kinetic energy are derived in two situations of experimental interest. © 1996 The American Physical Society.Keywords
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