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arXiv · 1501.04190

An improved algorithm for reconstructing reflectionless potentials

Matti Selg
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Abstract

A fully algebraic approach to reconstructing one-dimensional reflectionless potentials is described. A simple and easily applicable general formula is derived, using the methods of the theory of determinants. In particular, useful properties of special determinants - the alternants - have been exploited. The main formula takes an especially simple form if one aims to reconstruct a symmetric reflectionless potential. Several examples are presented to illustrate the efficiency of the method.

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Matti Selg. 2015-01-17. An improved algorithm for reconstructing reflectionless potentials. https://arxiv.org/abs/1501.04190

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