The Siegert states have long been recognized as a potentially powerful tool in the formal scattering theory. Here we propose an efficient method to implement this power in practice. Our method yields bound states, complex-energy resonances, and scattering wave functions, i.e., a complete solution of the Schrödinger equation. We also obtain a representation of the Green function suitable for a variety of applications. The method is demonstrated by realistic examples of the $\mathrm{eep}$ and $\mathrm{dt}\mu$ three-body Coulomb systems.

• Received 18 April 1997

DOI:https://doi.org/10.1103/PhysRevLett.79.2026