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 m...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.展开更多
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.
文摘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.