Newtonian scattering in three dimensions

Authors

  • M. A. Astaburuaga Pontificia Universidad Católica de Chile.
  • Claudio Fernández Pontificia Universidad Católica de Chile.
  • Víctor H. Cortes Universidad de Chile.

DOI:

https://doi.org/10.22199/S07160917.1992.0002.00002

Keywords:

Dispersión newtoniana

Abstract

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.

Author Biographies

M. A. Astaburuaga, Pontificia Universidad Católica de Chile.

Facultad de Matemáticas.

 

Claudio Fernández, Pontificia Universidad Católica de Chile.

Facultad de Matemáticas.

Víctor H. Cortes, Universidad de Chile.

Departamento de Matemáticas, Facultad de Ciencias.

References

[ 1] Astaburuaga, M.A.; Cortés, V.; Fernández, C.: Non-autonomous classical scattering. J. Math. Analysis and Appl., 134, pp 471-481, 1988.

[ 2] Astaburuaga, M.A.; Cortés V.; Fernández, C.: The Direct and lnverse Problem in Newtonian Scattering. Proc. Royal Soc. Edinburgh A., 118A, pp 119-131, 1991.

[ 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.

Published

2018-04-02

How to Cite

[1]
M. A. Astaburuaga, C. Fernández, and V. H. Cortes, “Newtonian scattering in three dimensions”, Proyecciones (Antofagasta, On line), vol. 11, no. 2, pp. 103-111, Apr. 2018.

Issue

Section

Artículos