关键词: 三方势垒, 量子隧穿, 共振隧穿, 定态薛定谔方程

Abstract: In this paper, the quantum tunneling characteristics of onedimensional symmetric triplesquarepotential barriers are studied by solving the stationary state Schrdinger equation in different areas. Moreover, the exact expression of the transmission coefficient is analytically attained, and the dependence of the transmission coefficient on the barrier width, barrier spacing, and the incident energy of the particle is numerically simulated. Furthermore, 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.

Key words:  triple square potential barriers, quantum tunneling, resonant tunneling, stationary state Schrdinger equation