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Transformation-matrix method for tunnel-effect simulation

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Abstract

The problem of numerically simulating steady-state scattering and the tunneling transfer of electrons was considered for a 1D potential barrier with an arbitrary shape. An effective numerical approach to solving this problem was developed on the basis of the transformation-matrix method. To test this approach, a computer program was written and applied to calculations of the tunneling processes. The convergence of the method proposed was further investigated in numerical experiments.

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Fedirko, V.A., Polyakov, S.V. & Zenyuk, D.A. Transformation-matrix method for tunnel-effect simulation. Phys. Part. Nuclei Lett. 8, 463–466 (2011). https://doi.org/10.1134/S1547477111050062

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