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Bustamante, M.G.; Miraglia, J.E.; Colavecchia, F.D. "Computation of a generalized Nordsieck integral" (2005) Computer Physics Communications. 171(1):40-48
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Abstract:

In this work we introduce two analytical representations of a generalized Nordsieck integral. These integrals arise in the calculations of scattering properties of systems of Coulomb-charged particles using the natural base, which includes general solutions of the two-body Coulomb equation. We study the numerical convergence of these representations against the direct Fortran numerical integration. We test the performance of the different strategies as a function of the momentum transfer, which is typically a relevant variable in collision processes. We also discuss the advantages and disadvantages of the different approaches. © 2005 Elsevier B.V. All rights reserved.

Registro:

Documento: Artículo
Título:Computation of a generalized Nordsieck integral
Autor:Bustamante, M.G.; Miraglia, J.E.; Colavecchia, F.D.
Filiación:Instituto de Astronomia y Física del Espacio, Universidad de Buenos Aires, C.C. 67, Suc. 28, 1428 Buenos Aires, Argentina
Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina
Centro Atomico Bariloche, 8400 R.N., Argentina
Palabras clave:Analytical continuation; Coulomb wave condition; Extended Nordsieck integral; Natural base; Numerical convergence; Numerical quadrature; Scattering system; Charged particles; Computational methods; Convergence of numerical methods; High energy physics; Integration; Numerical analysis; Problem solving; Scattering; Analytical continuation; Coulomb wave condition; Extended Nordsieck integral; Natural base; Numerical convergence; Numerical quadrature; Scattering systems; Integral equations
Año:2005
Volumen:171
Número:1
Página de inicio:40
Página de fin:48
DOI: http://dx.doi.org/10.1016/j.cpc.2005.04.007
Título revista:Computer Physics Communications
Título revista abreviado:Comput Phys Commun
ISSN:00104655
CODEN:CPHCB
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00104655_v171_n1_p40_Bustamante

Referencias:

  • Nordsieck, A., (1954) Phys. Rev, 93, p. 785
  • Garibotti, C.R., Miraglia, J.E., (1980) Phys. Rev. A, 21, p. 572
  • Miraglia, J.E., Bustamante, M.G., MacRi, P.A., (1999) Phys. Rev. A, 60, p. 4532
  • Gasaneo, G., Colavecchia, F.D., Otranto, S., Garibotti, C.R., (2001) J. Phys. A, 34, p. 8531
  • Landau, L.D., Lifshitz, E.M., (1959) Quantum Mechanics, Nonrelativistic Theory, , Pergamon Press
  • Gasaneo, G., Colavecchia, F.D., Garibotti, C.R., Miraglia, J.E., MacRi, P., (1997) Phys. Rev. A, 55, pp. 2809-2820
  • Gravielle, M.S., Miraglia, J.E., (1992) Comput. Phys. Comm., 69, p. 53
  • Colavecchia, F.D., (1999), Thesis doctoral, Bariloche; Watson, G.N., (1966) A Treatise on the Theory of Bessel Functions, , Cambridge University Press
  • Erdélyi, A., (1953) Higher Transcendental Functions, , McGraw-Hill New York
  • Srivastava, H.M., Manocha, H.L., (1978) A Treatise on Generating Functions, , Ellis Horwood Limited Chichester
  • Colavecchia, F.D., Gasaneo, G., Garibotti, C.R., (1997) J. Math. Phys., 38 (12), pp. 2809-2820

Citas:

---------- APA ----------
Bustamante, M.G., Miraglia, J.E. & Colavecchia, F.D. (2005) . Computation of a generalized Nordsieck integral. Computer Physics Communications, 171(1), 40-48.
http://dx.doi.org/10.1016/j.cpc.2005.04.007
---------- CHICAGO ----------
Bustamante, M.G., Miraglia, J.E., Colavecchia, F.D. "Computation of a generalized Nordsieck integral" . Computer Physics Communications 171, no. 1 (2005) : 40-48.
http://dx.doi.org/10.1016/j.cpc.2005.04.007
---------- MLA ----------
Bustamante, M.G., Miraglia, J.E., Colavecchia, F.D. "Computation of a generalized Nordsieck integral" . Computer Physics Communications, vol. 171, no. 1, 2005, pp. 40-48.
http://dx.doi.org/10.1016/j.cpc.2005.04.007
---------- VANCOUVER ----------
Bustamante, M.G., Miraglia, J.E., Colavecchia, F.D. Computation of a generalized Nordsieck integral. Comput Phys Commun. 2005;171(1):40-48.
http://dx.doi.org/10.1016/j.cpc.2005.04.007