书目名称 | Inverse Problems in Scattering |
副标题 | An Introduction |
编辑 | G. M. L. Gladwell |
视频video | http://file.papertrans.cn/475/474699/474699.mp4 |
丛书名称 | Solid Mechanics and Its Applications |
图书封面 |  |
描述 | .Inverse Problems in Scattering. exposes some of themathematics which has been developed in attempts to solve theone-dimensional inverse scattering problem. Layered media are treatedin Chapters 1--6 and quantum mechanical models in Chapters 7--10.Thus, Chapters 2 and 6 show the connections between matrix theory,Schur‘s lemma in complex analysis, the Levinson--Durbin algorithm,filter theory, moment problems and orthogonal polynomials. Thechapters devoted to the simplest inverse scattering problems inquantum mechanics show how the Gel‘fand--Levitan and Marchenkoequations arose. The introduction to this problem is an excursionthrough the inverse problem related to a finite difference version ofSchrödinger‘s equation. One of the basic problems in inversequantum scattering is to determine what conditions must be imposed onthe scattering data to ensure that they correspond to a regularpotential, which involves Lebesque integrable functions, which areintroduced in Chapter 9.. |
出版日期 | Book 1993 |
关键词 | Potential; algorithms; complex analysis; inverse scattering problem; mathematics; mechanics; quantum mecha |
版次 | 1 |
doi | https://doi.org/10.1007/978-94-011-2046-3 |
isbn_softcover | 978-0-7923-2478-2 |
isbn_ebook | 978-94-011-2046-3Series ISSN 0925-0042 Series E-ISSN 2214-7764 |
issn_series | 0925-0042 |
copyright | Springer Science+Business Media Dordrecht 1993 |