双梯形势垒中的量子透射与隧穿OA

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.