Abstract
The momentum and energy of a charged particle obey the equations, where the momentum p = γm o v and γ = (1 − v 2∕c 2)−1∕2. The kinetic energy \(\mathcal E\) of the particle changes in time and energy is not conserved when an electric field is present along v. Unlike a particle moving in magnetic field only, there are no simple solutions for the velocity of the particle. Understanding the motions of charged particles in E and B fields is fundamental for space plasmas.
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Parks, G.K. (2018). Charged Particle Acceleration. In: Characterizing Space Plasmas. Astronomy and Astrophysics Library. Springer, Cham. https://doi.org/10.1007/978-3-319-90041-4_2
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