Titlebook: Direct and Inverse Sturm-Liouville Problems; A Method of Solution Vladislav V. Kravchenko Book 2020 The Editor(s) (if applicable) and The A

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Solution of the Inverse Quantum Scattering Problem on the Half-LineHere we consider the inverse problem formulated in Chap. .. Given the scattering data (.), find the corresponding short-range potential ..

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尾巴

Quantum Scattering Problem on the Half-Linealled the .and the quotient . is traditionally called the scattering matrix, or simply .(see, e.g., [.]). Notice that due to (.) we have that . Instead of the initial condition (.), consider the condition

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The Inverse Sturm–Liouville Problem on a Finite Intervall numbers . and . such that .. < .. for . < ., .. > 0, and the relations (.) are valid. Find the real-valued potential .(.) and the real numbers . and ., such that . is the spectrum of the Sturm–Liouville problem . and .., . = 0, 1, … are the corresponding norming constants.

Institution

https://doi.org/10.1007/978-3-030-47849-0scattering problem; inverse scattering problem; spectral parameter power series; Neumann series of Bess

存在主义

978-3-030-47848-3The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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Vladislav V. KravchenkoExplains in detail direct and simple methods for solving direct and inverse Sturm-Liouville and scattering problems on finite and infinite intervals.Includes a brief introduction to the notion and pro

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Frontiers in Mathematicshttp://image.papertrans.cn/e/image/280638.jpg