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Titlebook: Direct and Inverse Scattering for the Matrix Schr?dinger Equation; Tuncay Aktosun,Ricardo Weder Book 2021 Springer Nature Switzerland AG 2

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發(fā)表于 2025-3-21 18:48:22 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Direct and Inverse Scattering for the Matrix Schr?dinger Equation
編輯Tuncay Aktosun,Ricardo Weder
視頻videohttp://file.papertrans.cn/281/280637/280637.mp4
概述Presents a complete and detailed matrix Marchenko method with general boundary conditions.Illustrates a comprehensive treatment of scattering theory through explicit examples.Indicates how the inverse
叢書名稱Applied Mathematical Sciences
圖書封面Titlebook: Direct and Inverse Scattering for the Matrix Schr?dinger Equation; Tuncay Aktosun,Ricardo Weder Book 2021 Springer Nature Switzerland AG 2
描述Authored by two experts in the field who have been long-time collaborators, this monograph treats the scattering and inverse scattering problems for the matrix Schr?dinger equation on the half line with the general selfadjoint boundary condition. The existence, uniqueness, construction, and characterization aspects are treated with mathematical rigor, and physical insight is provided to make the material accessible to mathematicians, physicists, engineers, and applied scientists with an interest in scattering and inverse scattering. The material presented is expected to be useful to beginners as well as experts in the field. The subject matter covered is expected to be interesting to a wide range of researchers including those working in quantum graphs and scattering on graphs. The theory presented is illustrated with various explicit examples to improve the understanding of scattering and inverse scattering problems.?.The monograph introduces a specific class of input data sets consisting of a potential and a boundary condition and a specific class of scattering data sets consisting of a scattering matrix and bound-state information. The important problem of the characterization i
出版日期Book 2021
關(guān)鍵詞Matrix Schrodinger Equations; General Boundary Conditions; Marchenko Method; Inverse Scattering; Scatter
版次1
doihttps://doi.org/10.1007/978-3-030-38431-9
isbn_softcover978-3-030-38433-3
isbn_ebook978-3-030-38431-9Series ISSN 0066-5452 Series E-ISSN 2196-968X
issn_series 0066-5452
copyrightSpringer Nature Switzerland AG 2021
The information of publication is updating

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書目名稱Direct and Inverse Scattering for the Matrix Schr?dinger Equation網(wǎng)絡(luò)公開度學(xué)科排名




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書目名稱Direct and Inverse Scattering for the Matrix Schr?dinger Equation讀者反饋學(xué)科排名




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發(fā)表于 2025-3-21 22:50:57 | 只看該作者
Direct Scattering I,ing of a matrix potential and a self-adjoint boundary condition. We establish the properties of some of the main quantities arising in the direct scattering problem such as the Jost solution, the Jost matrix, the scattering matrix, the physical solution, and the regular solution. We consider various
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Some Explicit Examples,xplicitly solved examples when its kernel contains a matrix exponential and hence becomes separable. The necessity of the integrability of the potential is demonstrated when a general self-adjoint boundary condition is used rather than only the Dirichlet boundary condition. The characterization of t
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Tuncay Aktosun,Ricardo WederPresents a complete and detailed matrix Marchenko method with general boundary conditions.Illustrates a comprehensive treatment of scattering theory through explicit examples.Indicates how the inverse
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Applied Mathematical Scienceshttp://image.papertrans.cn/e/image/280637.jpg
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978-3-030-38433-3Springer Nature Switzerland AG 2021
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