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

蕨類

Some Explicit Examples,he solution to the inverse scattering problem is illustrated with various explicit examples, and it is demonstrated how the potential, boundary condition, and other relevant quantities are constructed from a given scattering data set. The use of Levinson’s theorem and the generalized Fourier map is

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Intentional

Glossy

https://doi.org/10.1007/978-3-662-58125-4om a given scattering matrix without having the bound-state information. From the given scattering matrix alone we show how to construct a scattering data set belonging to the Marchenko class so that the constructed scattering data set can be used as input into a properly posed inverse scattering pr

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0066-5452 g theory through explicit examples.Indicates how the inverseAuthored 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 cond

averse

Book 2021he 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,

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Direct Scattering II, that the scattering matrix defined in terms of the Jost matrix coincides with the scattering matrix derived from the scattering operator. Various other topics are considered such as the properties of the spectral shift function, trace formulas of Buslaev–Faddeev type, and a Bargmann–Birman–Schwinger bound on the number of bound states.