書(shū)目名稱 | Inverse Problems in Scattering | 副標(biāo)題 | An Introduction | 編輯 | G. M. L. Gladwell | 視頻video | http://file.papertrans.cn/475/474699/474699.mp4 | 叢書(shū)名稱 | Solid Mechanics and Its Applications | 圖書(shū)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 ofSchr?dinger‘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 | 關(guān)鍵詞 | 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 |
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