Construction of the half-line potential from the Jost function

For the one-dimensional Schrödinger equation, the analysis is provided to recover the portion of the potential lying to the right (left) of any chosen point. The scattering data used consists of the left (right) Jost solution or its spatial derivative evaluated at that point, or the amplitudes of such functions. Various uniqueness and nonuniqueness results are established, and the recovery is illustrated with some explicit examples.

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Aktosun, Tuncay. (2003). Construction of the half-line potential from the Jost function. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/3927.

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University of Minnesota Twin Cities

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Construction of the half-line potential from the Jost function

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