Beat structure in the solution of scattering problems with nondecaying sources*

  • Marcelo J. Ambrosio
  • Lorenzo U. Ancarani
  • Antonio I. Gómez
  • Gustavo Gasaneo
  • Darío M. Mitnik
Regular Article

DOI: 10.1140/epjd/e2017-70542-y

Cite this article as:
Ambrosio, M.J., Ancarani, L.U., Gómez, A.I. et al. Eur. Phys. J. D (2017) 71: 54. doi:10.1140/epjd/e2017-70542-y
Part of the following topical collections:
  1. Topical Issue: Many Particle Spectroscopy of Atoms, Molecules, Clusters and Surfaces

Abstract

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

Graphical abstract

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  • Marcelo J. Ambrosio
    • 1
    • 2
    • 5
  • Lorenzo U. Ancarani
    • 3
  • Antonio I. Gómez
    • 4
    • 5
  • Gustavo Gasaneo
    • 4
    • 5
  • Darío M. Mitnik
    • 1
    • 2
    • 5
  1. 1.Instituto de Astronomía y Física del Espacio (IAFE), Universidad de Buenos AiresEGA Buenos AiresArgentina
  2. 2.Departamento de Física, Universidad de Buenos AiresEGA Buenos AiresArgentina
  3. 3.Théorie, Modélisation, Simulation, SRSMC, UMR CNRS 7565, Université de LorraineMetzFrance
  4. 4.IFISUR, Universidad Nacional del Sur, CONICET, Departamento de Física – UNSCPB – Bahía BlancaArgentina
  5. 5.Consejo Nacional de Investigaciones Cientificas y Tecnicas (CONICET)Buenos AiresArgentina