Beat structure in the solution of scattering problems with nondecaying sources

M.J. AMBROSIO, L.U. ANCARANI, A.I. GOMEZ, G. GASANEO, AND D.M. MITNIK

EUROPEAN JOURNAL OF PHYSICS

IOP PUBLISHING LTD

Lugar: Londres; Año: 2017 vol. 71 p. 54 - 65

0143-0807

In this contribution we study mathematical properties of scattering solutions of Schr¨odingertypeequations with nondecaying, outgoing type, driven terms. We analyze in some details the two-bodyframe, where an analytical treatment is possible, and find how the scattering solution is expected to containa beating type structure. The analytical formulation is first presented, and then fully and successfullyconfirmed with two numerical implementations: the Exterior Complex Scaling and the Generalized SturmianFunctions methods. Our results illustrate the underlying mathematical structure that can be foundin, for example, the photoionization of atoms or molecules, in the case when several photons are absorbedor in second order calculations for a single photon absorption. A test case within the three-body frame isalso presented, illustrating numerically the presence of beat structures in separately the single and doublecontinuum channels.