Newtonian scattering in three dimensions

• Astaburuaga, M. A. ^[1] ; Fernández, Claudio ^[1] ; Cortes, Víctor H. ^[2]
  1. [1] Pontificia Universidad Católica de Chile

     Pontificia Universidad Católica de Chile

     Santiago, Chile

     
  2. [2] Universidad de Chile

     Universidad de Chile

     Santiago, Chile

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 11, Nº. 2, 1992, págs. 103-111
• Idioma: inglés
• DOI: 10.22199/S07160917.1992.0002.00002
• Enlaces
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• Resumen

  • In this paper we study the direct scattering problem on the phase space for a classical particle moving in IR3 under the influence of a radial conservative force. An explicit representation of the canonical map is given.

• Referencias bibliográficas
  • Citas [ 1] Astaburuaga, M.A.; Cortés, V.; Fernández, C.: Non-autonomous classical scattering. J. Math. Analysis and Appl., 134, pp 471-481,...
  • [ 2] Astaburuaga, M.A.; Cortés V.; Fernández, C.: The Direct and lnverse Problem in Newtonian Scattering. Proc. Royal Soc. Edinburgh A., 118A,...
  • [ 3] Hunziker, W.: The S-matrix in Classical Mechanics. Comm. Math. Phys., 8, pp 282-299, 1968.
  • [ 4] Simon, B.: Wave Operators for Classical Particle Scattering. Comm. Math. Phys., 23, pp 37-48, 1971.
  • [ 5] Narnhofer, H.; Thirring, W.: Canonical Scattering Transformation in Classical Mechanics. Physical Review A, 23, N°4, pp 1688-1697, 1981.