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Volume 10, Issue 4
A Generalized Stationary Algorithm for Resonant Tunneling: Multi-Mode Approximation and High Dimension

Naoufel Ben Abdallah & Hao Wu

DOI: 10.4208/cicp.040610.131010a

Commun. Comput. Phys., 10 (2011), pp. 882-898.

Published online: 2011-10

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  • Abstract

The multi-mode approximation is presented to compute the interior wave function of Schrödinger equation. This idea is necessary to handle the multi-barrier and high dimensional resonant tunneling problems where multiple eigenvalues are considered. The accuracy and efficiency of this algorithm is demonstrated via several numerical examples.

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@Article{CiCP-10-882, author = {}, title = {A Generalized Stationary Algorithm for Resonant Tunneling: Multi-Mode Approximation and High Dimension}, journal = {Communications in Computational Physics}, year = {2011}, volume = {10}, number = {4}, pages = {882--898}, abstract = {

The multi-mode approximation is presented to compute the interior wave function of Schrödinger equation. This idea is necessary to handle the multi-barrier and high dimensional resonant tunneling problems where multiple eigenvalues are considered. The accuracy and efficiency of this algorithm is demonstrated via several numerical examples.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.040610.131010a}, url = {http://global-sci.org/intro/article_detail/cicp/7466.html} }
TY - JOUR T1 - A Generalized Stationary Algorithm for Resonant Tunneling: Multi-Mode Approximation and High Dimension JO - Communications in Computational Physics VL - 4 SP - 882 EP - 898 PY - 2011 DA - 2011/10 SN - 10 DO - http://doi.org/10.4208/cicp.040610.131010a UR - https://global-sci.org/intro/article_detail/cicp/7466.html KW - AB -

The multi-mode approximation is presented to compute the interior wave function of Schrödinger equation. This idea is necessary to handle the multi-barrier and high dimensional resonant tunneling problems where multiple eigenvalues are considered. The accuracy and efficiency of this algorithm is demonstrated via several numerical examples.

Naoufel Ben Abdallah & Hao Wu. (2020). A Generalized Stationary Algorithm for Resonant Tunneling: Multi-Mode Approximation and High Dimension. Communications in Computational Physics. 10 (4). 882-898. doi:10.4208/cicp.040610.131010a
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