Scattering for newtonian evolution

Authors

  • Victor H. Cortés Departamento de Matemática, Faculdad de Matemáticas P. Universidad Católica de Chile.
  • Claudio Fernández Departamento de Matemática, Faculdad de Matemáticas P. Universidad Católica de Chile.

DOI:

https://doi.org/10.5902/2179460X26538

Abstract

In the study of many phenomena in the physical world, one is interested in describing the long time behavior of certain observables. That is the case, for example, of the principles that govern the radar, the sonar and the disperson of ligtht waves.

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References

M.A. Astaburuaga, V.H. Cortés, C. Fernández, The Direct and Inverse Problem in Newtonian scattering, Proceeding of R. Society of Edinburgh, 118A,(1991), 119-131.

M.A. Astaburuaga, V.H. Cortés, C. Fernández, Newtonian scattering in Hilbert space, J. Math. Analysis and App1.134,# 1,(1990),129-139.

M.A. Astaburuaga, V.H. Cortés, C. Fernández, Non-autonomous classical scattering, J. Math. Analysis and Appl., 134, (1988); 4JI-481.

J. Cook, Cargase Lectures in Theoretical Physics F. Lurchit, Ed. Gordon & Breach, New York, 1967.

Hunziker, W., The S-matrix in classical mechanics, Comm. Math. Phys. 8, (1968), 282-299.

H. Narnhofer and W. Thirring, W., Canonical scattering transformation in classical mechanics, Phys. Rev. A 23(1981), 1688-1697.

R. Prosser, On the asymptotic behavior of certain dynamical systems, J. Math. Phys., 13, No. 2 (1972), 186-196.

B. Simon, Wave operators for classical particle scattering, Comm. Math. Phys., 23, (1971),37-48.

Published

1996-12-09

How to Cite

Cortés, V. H., & Fernández, C. (1996). Scattering for newtonian evolution. Ciência E Natura, 18(18), 27–48. https://doi.org/10.5902/2179460X26538