ERS approximation for solving Schr\"odinger's equation and applications
Disordered Systems and Neural Networks
2019-10-02 v1 Quantum Physics
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.
Keywords
Cite
@article{arxiv.1810.11682,
title = {ERS approximation for solving Schr\"odinger's equation and applications},
author = {Hichem Eleuch and Michael Hilke},
journal= {arXiv preprint arXiv:1810.11682},
year = {2019}
}
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6 pages