{"product_id":"9789401049061","title":"Solid Mechanics and Its Applications: An Introduction","description":"\u003ch1\u003eSolid Mechanics and Its Applications: An Introduction\u003c\/h1\u003e \u003ch2\u003eGladwell, G.M.L.\u003c\/h2\u003e \u003cp\u003e\u003cem\u003eInverse Problems in Scattering\u003c\/em\u003e exposes some of the  mathematics which has been developed in attempts to solve the  one-dimensional inverse scattering problem. Layered media are treated  in 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. The  chapters devoted to the simplest inverse scattering problems in  quantum mechanics show how the Gel'fand--Levitan and Marchenko  equations arose. The introduction to this problem is an excursion  through the inverse problem related to a finite difference version of  Schrödinger's equation. One of the basic problems in inverse  quantum scattering is to determine what conditions must be imposed on  the scattering data to ensure that they correspond to a regular  potential, which involves Lebesque integrable functions, which are  introduced in Chapter 9.\u003cbr\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2012-10-14\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9789401049061\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-94-011-2046-3\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 366\u003c\/p\u003e ","brand":"Springer Netherlands","offers":[{"title":"Default Title","offer_id":46607338078348,"sku":"9789401049061","price":152.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9789401049061.jpg?v=1773277048","url":"https:\/\/lateknightbooks.com\/products\/9789401049061","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}