量子电子学报2026，Vol.43Issue(3)：394-411,18.DOI:10.3969/j.issn.1007-5461.2026.03.007
双梯形势垒中的量子透射与隧穿
Quantum transmission and tunneling in double trapezoidal barriers
摘要
Abstract
To investigate the quantum tunneling properties in double trapezoidal barriers,this study systematically examines the quantum transmission behavior in double trapezoidal barriers via rigorous theoretical analysis.The exact analytical solutions for the transmission coefficients of trapezoidal barrier structures are derived,and their essential distinctions from those of rectangular barriers are revealed.Firstly,the transmission peaks of trapezoidal barrier structures originate from the resonances of quasi-bound states formed within the gradient barrier structures,and the formation and characteristics of these quasi-bound states are governed by the slope,width,separation,and particle energy of the barriers.Crucially,the nonlinear phase accumulation inherent to the gradient profile prevents the complete destructive interference of reflected waves during resonance,leading to a mechanism fundamentally different from that in conventional rectangular barriers.Secondly,the transmission coefficients of trapezoidal barrier structures exhibit a distinct slope dependence,where positive slopes suppress transmission and negative slopes enhance it.The study also find that for trapezoidal barrier structures,transmission is suppressed when the incident energy lies below the initial barrier height,the transmission coefficient becomes independent of the barrier sequence when the energy significantly exceeds the initial barrier height,and the transmission coefficient of the trapezoidal barrier structure oscillates periodically with barrier spacing while decaying periodically with the increasing barrier width.This work elucidates the multidimensional tuning mechanisms governing quantum transmission in double trapezoidal barriers.关键词
量子力学/透射系数/传输矩阵法/双梯形势垒/Airy函数Key words
quantum mechanics/transmission coefficient/transfer matrix method/double trapezoidal barriers/Airy function分类
数理科学引用本文复制引用
赖检辉,吕俊毅,张瑞,张奕亮,平梦超,刘超飞..双梯形势垒中的量子透射与隧穿[J].量子电子学报,2026,43(3):394-411,18.基金项目
国家自然科学基金(12375014),江西省青年井冈学者计划以及江西理工大学清江拔尖人才计划 （12375014）
