ERS approximation for solving Schrödinger’s equation and applications
A new technique was recently developed to approximate the solution of the Schrödinger 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 particula...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2018-12-01
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| Series: | Results in Physics |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379718320084 |
| Summary: | A new technique was recently developed to approximate the solution of the Schrödinger 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: ERS approximation, Schrödinger solution, Random media |
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| ISSN: | 2211-3797 |