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Journal of China West Normal University

Transmission Coefficients of One-dimensional Symmetric Double Rectangular Potential andδPotential

Luo Zhi-Quan

Published Jan 1, 2011• 0 citations
OpenAlex

Abstract

The scattering of a free particle by one - dimensional symmetric double rectangular potential(ODSDRP) andδpotential barriers is analyzed.Bound - states energy levels of the free particle in the ODSDRP andδpotential wells are discussed.Transmission coefficients and equation of bound -states energy levels are strictly derived.

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The exact analytical solutions of the Schrödinger equation for the generalized symmetrical Woods-Saxon potential are examined for the scattering, bound, and quasi-bound states in one dimension. The reflection and transmission coefficients are analytically obtained. Then, the correlations between the potential parameters and the reflection-transmission coefficients are investigated, and a transmission resonance condition is derived. Occurrence of the transmission resonance has been shown when incident energy of the particle is equal to one of the resonance energies of the quasi-bound states.
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