DYNAMICS OF A RELATIVISTIC CHARGED-PARTICLE IN A CONSTANT HOMOGENEOUSMAGNETIC-FIELD AND A TRANSVERSE HOMOGENEOUS ROTATING ELECTRIC-FIELD

Authors
BOURDIER A VALENTINI M VALAT J
Citation
A. Bourdier et al., DYNAMICS OF A RELATIVISTIC CHARGED-PARTICLE IN A CONSTANT HOMOGENEOUSMAGNETIC-FIELD AND A TRANSVERSE HOMOGENEOUS ROTATING ELECTRIC-FIELD, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(5), 1996, pp. 5681-5691
Citations number
14
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
54
Issue
5
Year of publication
1996
Pages
5681 - 5691
Database
ISI
SICI code
1063-651X(1996)54:5<5681:DOARCI>2.0.ZU;2-Y
Abstract
The relativistic motion of a charged particle in a homogeneous time-in dependent magnetic field and a transverse circularly polarized homogen eous electric field is reduced to an integrable form. Using canonical transformations, it is shown that the equations of motion can be deriv ed 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 ene rgy are derived in two situations of experimental interest.