Relativistic acceleration of charged particles in uniform and mutually perpendicular electric and magnetic fields as viewed in the laboratory frame.

We obtain exact solutions in the laboratory frame for the relativistic position, velocity, and energy of a charged particle moving in constant, uniform, and mutually perpendicular electromagnetic fields. We also obtain an exact equation relating the proper time and the laboratory time, and examine all these quantities in the large and small time limits. Working in the laboratory frame makes the accelerated motion that can occur when /E/ > or = c/B/ easier to analyze and understand.