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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 = {Naoufel Ben Abdallah and Hao Wu}, 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 AU - Naoufel Ben Abdallah & Hao Wu 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 and Hao Wu. (2011). 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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