  We obtain L2-series solutions of the nonrelativistic three-dimensional wave
equation for a large class of non-central potentials that includes, as special
cases, the Aharonov-Bohm, Hartmann, and magnetic monopole potentials. It also
includes contributions from the potential term, cos(theta)/r^2 (in spherical
coordinates). The solutions obtained are for all energies, the discrete (for
bound states) as well as the continuous (for scattering states). The L2 bases
of the solution space are chosen such that the matrix representation of the
wave operator is tridiagonal. The expansion coefficients of the radial and
angular components of the wavefunction are written in terms of orthogonal
polynomials satisfying three-term recursion relations resulting from the matrix
wave equation.
