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A Generalized Stationary Algorithm for Resonant Tunneling: Multi-Mode Approximation and High Dimension

Published online by Cambridge University Press:  20 August 2015

Naoufel Ben Abdallah  and
Hao Wu
Hao Wu*
Affiliation:
Department of Mathematical Sciences, Tsinghua University, Beijing, 10084, China Institut de Mathématiques de Toulouse, Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse Cedex, France
*
Corresponding author.Email:hwu@tsinghua.edu.cn
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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.

Keywords

35C9965N9981Q05Schrädinger equationnumerical schemeresonant tunnelingmulti-mode approximationhigh dimension
Type
Research Article
Information
Communications in Computational Physics , Volume 10 , Issue 4 , October 2011 , pp. 882 - 898
Copyright
Copyright © Global Science Press Limited 2011

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