I-N-1 Siegert Pseudo-States as a Universal Tool: Resonances, S-Matrix, Green Function

Oleg I. Tolstikhin (Lebedev Inst., Russia and IMS), Valentine N. Ostrovsky (Univ. St. Petersburg, Russia and IMS) and Hiroki Nakamura

[Phys. Rev. Lett. 79, 2026 (1997)]

The Siegert states have been long 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 eep and dtµ three-body Coulomb systems.


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