  We have derived orbital basis sets from scattering theory. They are expressed
as polynomial approximations to the energy dependence of a set of partial
waves, in quantized form. The corresponding matrices, as well as the
Hamiltonian and overlap matrices, are specified by the values on the energy
mesh of the screened resolvent and its first energy derivative. These orbitals
are a generalization of the 3rd-generation linear MTOs and should be useful for
electronic-structure calculations in general.
