We present a fully covariant solution to the problem of a charged part
icle in a time-independent, spatially uniform electromagnetic field F-
alpha beta. No restrictions are imposed on the strengths or orientatio
ns of the electric and magnetic fields E, B. Our general result is the
n applied to a few special cases, and the answers are shown to reduce
to expressions available in the literature once a specific inertial fr
ame is chosen. (C) 1997 American Association of Physics Teachers.