2006•Hebei ke-ji daxue xuebaoOpen access

Transfer matrix method in the study of quantum transmission for rectangular barrier

Hongmei Zhang

Abstract

Transmission coefficient of electron tunneling through rectangular barrier has been calculated based on the exact solution of the one-dimensional time-independent Schrdinger equation with the transfer matrix method;furthermore,the dependence of the transmission coefficient on the effective masses and parameters of rectangular barrier also has been studied.Numerical analysis shows that the effective masses cannot be ignored in comparison with parameters of rectangular barrier for the transmission coefficient.

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Available abstract

Key concepts: Transmission coefficient, Quantum tunnelling, Rectangular potential barrier, Transfer matrix, Transfer-matrix method (optics), Transmission (telecommunications), Matrix (chemical analysis), Schrödinger equation