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arXiv · 1810.11682

ERS approximation for solving Schr\"odinger's equation and applications

Hichem Eleuch·Michael Hilke
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Abstract

A new technique was recently developed to approximate the solution of the Schroedinger equation. This approximation (dubbed ERS) is shown to yield a better accuracy than the WKB-approximation. Here, we review the ERS approximation and its application to one and three-dimensional systems. In particular, we treat bound state solutions. We further focus on random potentials in a quantum wire and discuss the solution in the context of Anderson localization.

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Hichem Eleuch, Michael Hilke. 2018-10-27. ERS approximation for solving Schr\"odinger's equation and applications. https://arxiv.org/abs/1810.11682

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