书目名称 | Direct and Inverse Scattering for the Matrix Schrödinger Equation |
编辑 | Tuncay Aktosun,Ricardo Weder |
视频video | |
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 |
丛书名称 | Applied Mathematical Sciences |
图书封面 |  |
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 Schrödinger 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 |
关键词 | Matrix Schrodinger Equations; General Boundary Conditions; Marchenko Method; Inverse Scattering; Scatter |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-38431-9 |
isbn_softcover | 978-3-030-38433-3 |
isbn_ebook | 978-3-030-38431-9Series ISSN 0066-5452 Series E-ISSN 2196-968X |
issn_series | 0066-5452 |
copyright | Springer Nature Switzerland AG 2021 |