The Siegert pseudostate ͑SPS͒ formulation of scattering theory, originally developed by Tolstikhin, Ostrovsky, and Nakamura ͓Phys. Rev. A, 58, 2077 ͑1998͔͒ for s-wave scattering in a spherically symmetric finiterange potential, is generalized to nonzero angular momenta. The orthogonality and completeness properties of SPSs are established and SPS expansions for the outgoing-wave Green's function, physical states, and scattering matrix are obtained. The present formulation completes the theory of SPSs in the one-channel case, making its application to three-dimensional problems possible. The results are illustrated by calculations for several model potentials.
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