Numerical study of electronic states in finite multiple potential wells

JIANG Junqin; SHEN Huajia

doi:10.16854/j.cnki.1000-0712.2016.0158

College Physics >

2016 , Vol. 35 >Issue 11: 13 - 17

DOI: https://doi.org/10.16854/j.cnki.1000-0712.2016.0158

Numerical study of electronic states in finite multiple potential wells

JIANG Junqin ,
SHEN Huajia

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Department of Physics，Guangdong University of Education，Guangzhou，Guangdong 510303，China

Received date: 2015-11-23

Revised date: 2016-03-01

Online published: 2016-11-20

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Abstract

The electronic states in the symmetric N - potential wells are studied. Based on the Schrdinger equation，the linear equations determined by the standard conditions in the case of N = 1，2，3 and 4 are solved，the energy level and wave function are accurately calculated by using Mathematica. The mechanism of the energy level splitting into energy band is exhibited.

Key words： numerical analysis;finite multiple potential wells;Schr dinger equation;energy level and wave ; function; energy bands

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JIANG Junqin , SHEN Huajia . Numerical study of electronic states in finite multiple potential wells[J]. College Physics, 2016 , 35(11) : 13 -17 . DOI: 10.16854/j.cnki.1000-0712.2016.0158

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