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

作　　者：Naoufel Ben Abdallah Hao Wu 

机构地区：[1]Department of Mathematical Sciences,Tsinghua University,Beijing,10084,China [2]Institut de Math´ematiques de Toulouse,Universite Paul Sabatier,118,route de Narbonne,31062 Toulouse Cedex,France.

出　　处：《Communications in Computational Physics》2011年第9期882-898,共17页计算物理通讯（英文）

基　　金：supported by the Conseil regional Midi Pyrenees(http://www.midipyrenees.fr/)entitled"Methodes Numeriques Multi-echelles pour le transport quantique"and by the ANR Project No.BLAN07-2212988 entitled"QUATRAIN");support from NSFC Projects 11071139 and NSFC Projects 10971115.

摘　　要：The multi-mode approximation is presented to compute the interior wave function of Schr¨odinger 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.

关 键 词：Schrodinger equation numerical scheme resonant tunneling multi-mode approximation high dimension. 

分 类 号：O17[理学—数学]