  Two-dimensional QCD with adjoint fermions has many attractive features, yet
its single-particle content remains largely unknown. To lay the foundation for
a crucially improved approximation of the theory's spectrum, we developed a
method to find the basis of eigenstates using the symmetry structure of the
asymptotic theory where pair production is disallowed. This method produces
complete sets of multi-dimensional harmonic functions for the massless and the
massive theory. Previously only part of such a basis was known. The method
presented here should be applicable to other theories and has the promise of
factoring out the long-range Coulomb-type part of interactions. The role of
pair production and implications for the bosonized theory in the case of
adjoint QCD$_2$ are discussed.
