The Response to a Perturbation in the Reflection Amplitude

Physics – Mathematical Physics

Scientific paper

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16 pages, no figures

Scientific paper

10.1088/0305-4470/37/43/016

We apply inverse scattering theory to calculate the functional derivative of
the potential $V(x)$ and wave function $\psi(x,k)$ of a one-dimensional
Schr\"odinger operator with respect to the reflection amplitude $r(k)$.

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