SIEGERT PSEUDO-STATES AS A UNIVERSAL TOOL - RESONANCES, S-MATRIX, GREEN-FUNCTION

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