Abstract
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.
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© 1989 Springer-Verlag Berlin Heidelberg
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Newton, R.G. (1989). The Regular Solution. In: Inverse Schrödinger Scattering in Three Dimensions. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83671-8_4
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DOI: https://doi.org/10.1007/978-3-642-83671-8_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-83673-2
Online ISBN: 978-3-642-83671-8
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