Reconstruction of the Potential Function (original) (raw)

2012

Abstract

Inverse problem for Schrodinger operator consists of reconstruction potential function of this operator by its spectrum and norming constants. In this study, we solve an inverse problem for Schrodinger operator using the nodal set of eigenfunctions. We prove the uniqueness theorem and give a reconstruction formula for the potential function. The technique that we use to obtain the results is an adaptation of the method discussed in the references [1], [2].

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