The Regular Solution
In the one-dimensional case it is customary and very useful to define a solution of the Schrödinger equation by a k-independent boundary condition at a point. Such a solution is necessarily an entire analytic function of k of exponential type |x|. It is this property that is exploited in the solution technique of the inverse spectral problem due to Gel’fand and Levitan.
KeywordsSpectral Function Spherical Harmonic Regular Solution Exponential Type Schrodinger Equation
Unable to display preview. Download preview PDF.