Inverse problem for an inhomogeneous Schrödinger equation

Details Inverse problem for an inhomogeneous Schrödinger equation Inverse problem for an inhomogeneous Schrödinger equation

1999-11-27

arxiv.org/abs/math-ph/9911044v1

Jour. Math.Phys., 40,N8, (1999), 3876-3880

Physics

Mathematical Physics

Scientific paper

10.1063/1.532930

An inverse problem is considered for an inhomogeneous Schr\"odinger equation. Assuming that the potential vanishes outside a finite interval and satisfies some other technical assumptions, one proves the uniqueness of the recovery of this potential from the knowledge of the wave function at the ends of the above interval for all energies. An algorithm is given for the recovery of the potential from the above data.

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