Study on quantum tunneling of one-dimensional triple square potential barriers
In this paper,the quantum tunneling characteristics of one-dimensional symmetric triple-square-po-tential barriers are studied by solving the stationary state Schrödinger equation in different areas.Moreover,the ex-act expression of the transmission coefficient is analytically attained,and the dependence of the transmission coeffi-cient on the barrier width,barrier spacing,and the incident energy of the particle is numerically simulated.Fur-thermore,the results show that when different potential barrier widths or different incident energies of the particle are taken,the periodic oscillation phenomenon of the transmission coefficient with the increasement of the barrier spacing is exhibited.Comparing with one-dimensional symmetric double barriers,the periods of the transmission coefficient oscillating with the barrier spacing increases are the same.However,the oscillation of the triple square potential barriers is more intense and the amplitude is larger.At a period,it is a bimodal curve for the triple-square potential barriers,while it is a unimodal curve for the double-square potential barriers.This characteristic provides theoretical guidance for designing novel nanodevices and resonant tunneling quantum devices.
triple square potential barriersquantum tunnelingresonant tunnelingstationary state Schrödinger equation
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