  We study bound states of abelian gauge theory in D=1+1 dimensions using an
equal-time, Poincare-covariant framework. The normalization of the linear
confining potential is determined by a boundary condition in the solution of
Gauss' law for the instantaneous A^0 field. As in the case of the Dirac
equation, the norm of the relativistic fermion-antifermion (f\bar{f}) wave
functions gives inclusive particle densities. However, while the Dirac spectrum
is known to be continuous, we find that regular f\bar{f} solutions exist only
for discrete bound state masses. The f\bar{f} wave functions are consistent
with the parton picture when the kinetic energy of the fermions is large
compared to the binding potential. We verify that the electromagnetic form
factors of the bound states are gauge invariant and calculate the parton
distributions from the transition form factors in the Bjorken limit. For
relativistic states we find a large sea contribution at low Bjorken x. Since
the potential is independent of the gauge coupling the bound states may serve
as "Born terms" in a perturbative expansion, in analogy to the usual plane wave
in and out states.
