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

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 expec...

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Autores principales: Ambrosio, M.J., Ancarani, L.U., Gómez, A.I., Gasaneo, G., Mitnik, D.M.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_14346060_v71_n3_p_Ambrosio
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_14346060_v71_n3_p_Ambrosio2023-10-03T16:15:48Z Beat structure in the solution of scattering problems with nondecaying sources* Ambrosio, M.J. Ancarani, L.U. Gómez, A.I. Gasaneo, G. Mitnik, D.M. 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: [Figure not available: see fulltext.] © 2017, EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_14346060_v71_n3_p_Ambrosio
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description 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: [Figure not available: see fulltext.] © 2017, EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.
format JOUR
author Ambrosio, M.J.
Ancarani, L.U.
Gómez, A.I.
Gasaneo, G.
Mitnik, D.M.
spellingShingle Ambrosio, M.J.
Ancarani, L.U.
Gómez, A.I.
Gasaneo, G.
Mitnik, D.M.
Beat structure in the solution of scattering problems with nondecaying sources*
author_facet Ambrosio, M.J.
Ancarani, L.U.
Gómez, A.I.
Gasaneo, G.
Mitnik, D.M.
author_sort Ambrosio, M.J.
title Beat structure in the solution of scattering problems with nondecaying sources*
title_short Beat structure in the solution of scattering problems with nondecaying sources*
title_full Beat structure in the solution of scattering problems with nondecaying sources*
title_fullStr Beat structure in the solution of scattering problems with nondecaying sources*
title_full_unstemmed Beat structure in the solution of scattering problems with nondecaying sources*
title_sort beat structure in the solution of scattering problems with nondecaying sources*
url http://hdl.handle.net/20.500.12110/paper_14346060_v71_n3_p_Ambrosio
work_keys_str_mv AT ambrosiomj beatstructureinthesolutionofscatteringproblemswithnondecayingsources
AT ancaranilu beatstructureinthesolutionofscatteringproblemswithnondecayingsources
AT gomezai beatstructureinthesolutionofscatteringproblemswithnondecayingsources
AT gasaneog beatstructureinthesolutionofscatteringproblemswithnondecayingsources
AT mitnikdm beatstructureinthesolutionofscatteringproblemswithnondecayingsources
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