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These lecture notes are intended as a non-technical overview of scattering theory. The point of view adopted throughout is that scattering theory provides a parameterization of the continuous spectrum of an elliptic operator on a complete manifold with uniform structure at infinity. The simple and fundamental case of the Laplacian or Euclidean space is described in the first two lectures to introduce the basic framework of scattering theory. In the next three lectures various results on Euclidean scattering, and the methods used to prove them, are outlined. In the last three lectures these ideas are extended to non-Euclidean settings. These lecture notes will be of interest to graduate students and researchers in the field of applied mathematics.

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Book Details

ISBN: 9780521498104
ISBN-10: 0521498104
Format: Paperback
(228mm x 152mm x 8mm)
Pages: 132
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 28-Jul-1995
Country of Publication: United Kingdom

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Books By Author Richard B. Melrose

Geometric Scattering Theory by Richard B. Melrose

Geometric Scattering Theory

Hardback, July 1995