Аннотация:
The matrix Schrödinger equation is considered on the half line with the general selfadjoint boundary condition and with a matrix-valued potential which is integrable, selfadjoint, and having a finite first moment. The relevant direct and inverse problems are described. The construction of the scattering data set is given, and such scattering data sets are characterized by providing a set of necessary and sufficient conditions assuring the existence and uniqueness of the one-to-one correspondence between the scattering data set and the input data set consisting of the potential and the boundary condition. This characterization yields a generalization of the classical result by Agranovich and Marchenko from the Dirichlet boundary condition to the general selfadjoint boundary condition.
The presentation is based on the joint work with Ricardo Weder of the National Autonomous University of Mexico.
Язык доклада: английский
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