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Viser: Direct and Inverse Scattering for the Matrix Schrödinger Equation
Direct and Inverse Scattering for the Matrix Schrödinger Equation
Tuncay Aktosun og Ricardo Weder
(2020)
Sprog: Engelsk
Detaljer om varen
- Hardback
- Udgiver: Springer International Publishing AG (Maj 2020)
- Forfattere: Tuncay Aktosun og Ricardo Weder
- ISBN: 9783030384302
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 is solved by establishing a one-to-one correspondence between the two aforementioned classes. The characterization result is formulated in various equivalent forms, providing insight and allowing a comparison of different techniques used to solve the inverse scattering problem. The past literature treated the type of boundary condition as a part of the scattering data used as input to recover the potential. This monograph provides a proper formulation of the inverse scattering problem where the type of boundary condition is no longer a part of the scattering data set, but rather both the potential and the type of boundary condition are recovered from the scattering data set.