An improved algorithm for reconstructing reflectionless potentials
Quantum Physics
2015-01-20 v1
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.
Cite
@article{arxiv.1501.04190,
title = {An improved algorithm for reconstructing reflectionless potentials},
author = {Matti Selg},
journal= {arXiv preprint arXiv:1501.04190},
year = {2015}
}