III: Scattering Theory - 1st Edition - ISBN: 9780125850032, 9780080925387

III: Scattering Theory, Volume 3

1st Edition

Authors: Michael Reed Barry Simon
Hardcover ISBN: 9780125850032
eBook ISBN: 9780080925387
Imprint: Academic Press
Published Date: 28th April 1979
Page Count: 463
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Description

Scattering theory is the study of an interacting system on a scale of time and/or distance which is large compared to the scale of the interaction itself. As such, it is the most effective means, sometimes the only means, to study microscopic nature. To understand the importance of scattering theory, consider the variety of ways in which it arises. First, there are various phenomena in nature (like the blue of the sky) which are the result of scattering. In order to understand the phenomenon (and to identify it as the result of scattering) one must understand the underlying dynamics and its scattering theory. Second, one often wants to use the scattering of waves or particles whose dynamics on knows to determine the structure and position of small or inaccessible objects. For example, in x-ray crystallography (which led to the discovery of DNA), tomography, and the detection of underwater objects by sonar, the underlying dynamics is well understood. What one would like to construct are correspondences that link, via the dynamics, the position, shape, and internal structure of the object to the scattering data. Ideally, the correspondence should be an explicit formula which allows one to reconstruct, at least approximately, the object from the scattering data. The main test of any proposed particle dynamics is whether one can construct for the dynamics a scattering theory that predicts the observed experimental data. Scattering theory was not always so central the physics. Even thought the Coulomb cross section could have been computed by Newton, had he bothered to ask the right question, its calculation is generally attributed to Rutherford more than two hundred years later. Of course, Rutherford's calculation was in connection with the first experiment in nuclear physics.

Readership

Advanced undergraduates, and graduate students in studying mathematics, and physics.


Details

No. of pages:
463
Language:
English
Copyright:
© Academic Press 1979
Published:
Imprint:
Academic Press
eBook ISBN:
9780080925387
Hardcover ISBN:
9780125850032

About the Authors

Michael Reed Author

Affiliations and Expertise

Duke University, North Carolina

Barry Simon Author

Affiliations and Expertise

Princeton University, New Jersey