Uniqueness of approximate solutions to the Gelfand Levitan equation
Keywords:Gelfand-Levitan Equation, Inverse Scattering, Ambiguities, Approximation Methods.
This brief paper considers a potential issue of using iterative solutions for the Gelfand-Levitan equation. Iterative solutions require approx-imation methods and this could lead to a loss of uniqueness of solutions. The calculations in this paper demonstrate that this is not the case and that uniqueness is preserved.
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