Abstract:
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.
Registro:
Documento: |
Artículo
|
Título: | Beat structure in the solution of scattering problems with nondecaying sources* |
Autor: | Ambrosio, M.J.; Ancarani, L.U.; Gómez, A.I.; Gasaneo, G.; Mitnik, D.M. |
Filiación: | Instituto de Astronomía y Física del Espacio (IAFE), Universidad de Buenos Aires, C1428, EGA Buenos Aires, Argentina Departamento de Física, Universidad de Buenos Aires, C1428, EGA Buenos Aires, Argentina Théorie, Modélisation, Simulation, SRSMC, UMR CNRS 7565, Université de Lorraine, Metz, 57078, France IFISUR, Universidad Nacional del Sur, CONICET, Departamento de Física – UNS, Av. L. N. Alem 1253, B8000, CPB – Bahía Blanca, Argentina Consejo Nacional de Investigaciones Cientificas y Tecnicas (CONICET), Buenos Aires, Argentina
|
Año: | 2017
|
Volumen: | 71
|
Número: | 3
|
DOI: |
http://dx.doi.org/10.1140/epjd/e2017-70542-y |
Título revista: | European Physical Journal D
|
Título revista abreviado: | Eur. Phys. J. D
|
ISSN: | 14346060
|
CODEN: | EPJDF
|
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14346060_v71_n3_p_Ambrosio |
Referencias:
- Bransden, B.H., Joachain, C.J., (2003) Physics of atoms and molecules, , Englewood Cliffs, NJ: Prentice-Hall
- Newton, R.G., Scattering Theory of Waves and Particles, 2nd edn (2002) (Dover Publications
- Gasaneo, G., Ancarani, L.U., Mitnik, D.M., Randazzo, J.M., Frapiccini, A.L., Colavecchia, F.D., (2013) Adv. Quant. Chem., 67, p. 153
- Bray, I., (1999) J. Phys. B, 32, p. L119
- Bray, I., (2002) Phys. Rev. Lett., 89, p. 273201
- McCurdy, C.W., Rescigno, T.N., Byrum, D., (1997) Phys. Rev. A, 56, p. 1958
- Jones, S., Stelbovics, A.T., (2000) Phys. Rev. Lett., 84, p. 1878
- Bray, I., Fursa, D.V., Kadyrov, A.S., Stelbovics, A.T., Kheifets, A.S., Mukhamedzhanov, A.M., (2012) Phys. Rep., 520, p. 135
- Gómez, A.I., Gasaneo, G., Mitnik, D.M., (2015) J. Phys.: Conf. Ser., 635, p. 092123
- Gómez, A.I., Gasaneo, G., Mitnik, D.M., Ambrosio, M.J., Ancarani, L.U., (2016) Eur. Phys. J. D, 70, p. 207
- Horner, D.A., Morales, F., Rescigno, T.N., Martín, F., McCurdy, C.W., (2007) Phys. Rev. A, 76, p. 030701(R)
- Horner, D., McCurdy, C., Rescigno, T., (2008) Phys. Rev. A, 78, p. 043416
- Hasegawa, H., Takahashi, E.J., Nabekawa, Y., Ishikawa, K.L., Midorikawa, K., (1992) J. Phys. A, 71, p. 023407
- Rudenko, A., Foucar, L., Kurka, M., Ergler, T., Kühnel, K.U., Jiang, Y.H., Voitkiv, A., Ullrich, J., (2008) Phys. Rev. Lett., 101, p. 073003
- Sorokin, A.A., Wellhöfer, M., Bobashev, S.V., Tiedtke, K., Richter, M., (2007) Phys. Rev. A, 75, p. 051402(R)
- Ambrosio, M.J., Del Punta, J.A., Rodriguez, K.V., Gasaneo, G., Ancarani, L.U., (2012) J. Phys. A, 45, p. 015201
- McCurdy, C.W., Baertschy, M., Rescigno, T.N., (2004) J. Phys. B, 37, p. R137
- Gasaneo, G., Mitnik, D.M., Randazzo, J.M., Ancarani, L.U., Colavecchia, F.D., (2013) Phys. Rev. A, 87, p. 042707
- Ambrosio, M.J., Gasaneo, G., Colavecchia, F.D., (2014) Phys. Rev. A, 89, p. 012713
- Ambrosio, M.J., Ancarani, L.U., Mitnik, D.M., Colavecchia, F.D., Gasaneo, G., (2014) Few-Body Syst., 55, p. 825
- Granados-Castro, C., Ancarani, L., Gasaneo, G., Mitnik, D., (2014) Few-Body Syst., 55, p. 1029
- Randazzo, J.M., Mitnik, D., Gasaneo, G., Ancarani, L.U., Colavecchia, F.D., (2015) Eur. Phys. J. D, 69, p. 189
- Ambrosio, M.J., Colavecchia, F.D., Gasaneo, G., Mitnik, D.M., Ancarani, L.U., (2015) J. Phys. B, 48, p. 055204
- Ambrosio, M.J., Mitnik, D.M., Ancarani, L.U., Gasaneo, G., Gaggioli, E.L., (2015) Phys. Rev. A, 92, p. 042704
- Ambrosio, M.J., Mitnik, D.M., Dorn, A., Ancarani, L.U., Gasaneo, G., (2016) Phys. Rev. A, 93, p. 032705
- Fischer, D., Moshammer, R., Dorn, A., Crespo López-Urrutia, J.R., Feuerstein, B., Höhr, C., Schröter, C.D., Ullrich, J., (2003) Phys. Rev. Lett., 90, p. 243201
- Dorn, A., Kheifets, A., Schröter, C.D., Najjari, B., Höhr, C., Moshammer, R., Ullrich, J., (2002) Phys. Rev. A, 65, p. 032709
- Lahmam-Bennani, A., Duguet, A., Gaboriaud, M.N., Taouil, I., Lecas, M., Kheifets, A.S., Berakdar, J., Dal Cappello, C., (2001) J. Phys. B, 34, p. 3073
- Randazzo, J.M., Buezas, F., Frapiccini, A.L., Colavecchia, F.D., Gasaneo, G., (2011) Phys. Rev. A, 84, p. 052715
- Joachain, C.J., Quantum Collision Theory (American Elsevier Publishing Co (1975) Inc., 52. , Vanderbilt Ave., New York
- Gasaneo, G., Ancarani, L.U., (2010) Phys. Rev. A, 82, p. 042706
- Alhaidari, A.D., Heller, E.J., Yamani, H.A., Abdelmonem, M.S., The J-matrix Method: Developments and Applications, 1st edn (2008) (Springer
- Yamani, H.A., Fishman, L., (1975) J. Math. Phys., 16, p. 410
- (2007) Johnson, , Atomic Structure Theory: Lectures on Atomic Physics (Springer-Verlag
- http://mathworld.wolfram.com/En-Function.html, Exponential integral e – from wolfram mathworld; http://www.netlib.org/lapack/, Lapack – linear algebra package
Citas:
---------- APA ----------
Ambrosio, M.J., Ancarani, L.U., Gómez, A.I., Gasaneo, G. & Mitnik, D.M.
(2017)
. Beat structure in the solution of scattering problems with nondecaying sources*. European Physical Journal D, 71(3).
http://dx.doi.org/10.1140/epjd/e2017-70542-y---------- CHICAGO ----------
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*"
. European Physical Journal D 71, no. 3
(2017).
http://dx.doi.org/10.1140/epjd/e2017-70542-y---------- MLA ----------
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*"
. European Physical Journal D, vol. 71, no. 3, 2017.
http://dx.doi.org/10.1140/epjd/e2017-70542-y---------- VANCOUVER ----------
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*. Eur. Phys. J. D. 2017;71(3).
http://dx.doi.org/10.1140/epjd/e2017-70542-y