摘要
构造了在超晶格物理中具有潜在应用价值的一维梯形势垒模型并解析地得到了粒子隧穿势垒的透射系数.给出了该透射系数在低能近似和微斜近似下的近似表达式,并指出它可以视为方势阱透射系数在低能下的修正.此外,区别于方势垒模型,梯形势垒透射系数的峰值并不一定对应于共振透射,但是峰值处对应的粒子入射能量近似地满足势垒高度和相应一维无限深梯形势阱中粒子能级之和的规律.
We construct a one-dimensional trapezoid potential barrier model with potential application in super -lattice physics, and obtain the transmission coefficient for the tunneling of particles analytically. By using the low energy approximation and small slope approximation, we get the asymptotic behavior of the transmission coefficient, which can be treated as the correction for square potential barrier model. Besides, unlike the square model, the peak values of the trapezoid barrier are not necessary to be the resonance tunneling. The incoming energy of the particles at peak satisfies the rule that it is the sum of the height of the potential barrier and the corresponding energy level for particles confined into trapezoid potential well approximately.
出处
《大学物理》
北大核心
2014年第12期42-45,65,共5页
College Physics
关键词
梯形势垒
透射系数
共振隧穿
trapezoid potential barrier
transmission coefficient
resonance tunneling
