Newtonian scattering in three dimensions
DOI:
https://doi.org/10.22199/S07160917.1992.0002.00002Keywords:
Dispersión newtonianaAbstract
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.
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.
[ 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.
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