- Access by Xinjiang University
Orbits of Charged Particles in Constant Fields
Phys. Rev. 73, 786 – Published 1 April, 1948
DOI: https://doi.org/10.1103/PhysRev.73.786
Abstract
Solutions of the relativistic equations of motion of a charged particle in a constant electromagnetic field are obtained in terms of a Lorentz transformation determined by the tensor describing the field. Some results of O. Veblen, J. W. Givens, and the author on Lorentz transformations are summarized in Appendiz A and are used to obtain explicit expressions for the orbits. The methods used may be applied to the orbit of a charged particle in the field of a plane wave. The latter orbits are discussed in detail in Appendix B.