  A simple analytical solution is found to the Dirac equation for the
combination of a Coulomb potential with a linear confining potential. An
appropriate linear combination of Lorentz scalar and vector linear potentials,
with the scalar part dominating, can be chosen to give a simple Dirac wave
function. The binding energy depends only on the Coulomb strength, and is not
affected by the linear potential. The method works for the ground state, or for
the lowest state with $l=j-{1/2}$, for any $j$.
