A novel method for quantum transmission across arbitrary potential barriers

A simple method for calculating transmission and reflection coefficients of an electron with a variable effective mass across arbitrary potential barriers is presented by using the combination of a transfer matrix procedure and the numerical solution of the wave functions. This method is capable of...

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Bibliographic Details
Published in:Journal of luminescence 2000-05, Vol.87, p.369-371
Main Authors: Ban, S.L., Hasbun, J.E., Liang, X.X.
Format: Article
Language:English
Subjects:
Arbitrary potentials
Numerical method
Quantum transmission
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Summary:A simple method for calculating transmission and reflection coefficients of an electron with a variable effective mass across arbitrary potential barriers is presented by using the combination of a transfer matrix procedure and the numerical solution of the wave functions. This method is capable of yielding the wave functions, and is applicable to various potential barriers, wells and multilayered systems. The numerical results obtained for GaAs/Al x Ga 1− x As double barrier structures are in agreement with those obtained using a multistep potential approximation. The wave functions at the resonant states are also given.
ISSN:0022-2313
1872-7883
DOI:10.1016/S0022-2313(99)00398-1