Titlebook: Inverse Problems in Quantum Scattering Theory; K. Chadan,P. C. Sabatier,R. G. Newton Book 1989Latest edition Springer-Verlag New York Inc.

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K. Chadan,P. C. Sabatier,R. G. Newtone between them..This book will have valuable information for both students and faculties of engineering and agriculture in addition to research centers, water institutions and climate change specialists..978-3-030-38009-0978-3-030-38010-6Series ISSN 2213-784X Series E-ISSN 2213-7858

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,Bound States—Eigenfunction Expansions, We are going to study them in detail because, as is well known, they are necessary in the completeness relation, and therefore, as was mentioned before, enter into the inverse problem. We again consider the .-wave first. The assumptions on the potential are those of the last section of chapter I : .(b, ∞), . 0, W(r) ∈ L.(0, ., and .(0, ∞).

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Examples,.. In fact, in the third section of chapter IV we studied an even more general case consisting of an initial arbitrary potential for which everything is known, and an increment which has the effect of multiplying the initial Jost function by a rational function of ..

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Special Classes of Potentials,roblem for them can be dealt with either by the Gel’fand-Levitan or by the Marchenko method, a special technique has been found by Martin which permits solving the direct as well as the inverse problem by an iterative method based on special properties of the Laplace transform. We follow his method.