The Inverse Problem of Scattering Theory
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The Inverse Problem of Scattering Theory
Book Details
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Brand: Dover
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Binding: Paperback
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Number of Pages: 304
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ISBN: 9780486842493
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Languages: English
About the Book
In the realm of mathematical physics, the inverse scattering problem is an essential technique for determining the characteristics of an object by analyzing how it scatters radiation or particles. This book, written by two esteemed Soviet authorities in mathematical physics, makes a significant contribution to the literature on this subject, providing a comprehensive and insightful treatment of the inverse scattering problem.
The monograph is divided into two parts, each exploring different facets of the problem. The first part delves into the boundary-value problem without singularities, covering topics such as particular solutions, the spectrum and scattering matrix for the problem, Parseval's equality, and the inverse problem. The second part shifts focus to the boundary-value problem with singularities, discussing special transformation operators, spectral analysis, and the process of reconstructing the problem from scattering data.
This book is designed for advanced undergraduates and graduate students in physics and related fields, offering a clear and rigorous approach to understanding this critical concept in mathematical physics. Supplemented by helpful appendices, it serves as a foundational text for those seeking to explore the complexities of inverse scattering theory.
