Title :
Hamiltonian Description of the Electron and its Radiated Field in a Periodic Structure
Author :
Frédéric André;Pierre Bernardi;Nikita M. Ryskin;Fabrice Doveil;Yves Elskens
Author_Institution :
Thales Electron Devices, rue Laté
Abstract :
We present an Hamiltonian formulation of dynamics of the electron and the electro-magnetic field it radiates. The relativistic electron dynamics is governed by the Lorentz force and the fields by Maxwell equations. It is shown that this set of equations can be derived from an Hamiltonian that will be detailed in this presentation.
Keywords :
"Mathematical model","Lorentz covariance","Electrodynamics","Quantum mechanics","Maxwell equations"
Conference_Titel :
Vacuum Electronics Conference (IVEC), 2013 IEEE 14th International
Print_ISBN :
978-1-4673-5976-4
DOI :
10.1109/IVEC.2013.6571107