Charged particle motion in static fields

Abstract

This chapter is concerned with introducing a number of model problems, based on the relativistic motion of charged particles in static electric and magnetic field configurations. It discusses that these configurations include uniform dipole magnetic fields, uniform electric fields, quadrupole magnetic and electric fields, superpositions of uniform electric and magnetic fields, periodic magnetic dipole field or magnetic undulator. It explains that these model problems also allowed this chapter to introduce some rudimentary examples of analyses that are based on both relativistic and Hamiltonian formalisms. It adds that these analyses will help form the basis of more complex investigations of charged particle motion.