Title
Construction of the half-line potential from the Jost function
Abstract
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.
Related to
Institute for Mathematics and Its Applications>IMA Preprints Series
Suggested Citation
Aktosun, Tuncay.
(2003).
Construction of the half-line potential from the Jost function.
Retrieved from the University of Minnesota Digital Conservancy,
https://hdl.handle.net/11299/3927.