阶跃指数衰减势垒和平方势垒中的量子反射  

Quantum Reflection in Step-Exponential Barrier and Parabolic Barrier

作　　者：许田[1] 解霞[1] 方靖淮[1] 

机构地区：[1]南通大学理学院,江苏南通226007

出　　处：《南通大学学报（自然科学版）》2010年第4期65-68,共4页Journal of Nantong University(Natural Science Edition)　

基　　金：南通大学自然科学基金项目(09ZY001)

摘　　要：采用转移矩阵方法(ATMM)得到精确的透射和反射系数,并且把它应用到高于势垒高度的量子反射问题中.通过计算阶跃指数衰减势垒和平方势垒,发现用ATMM得到的结果要比用WKB近似法得到的结果精确.当粒子入射能量高于势垒高度时,ATMM仍然能够精确得到结论;而WKB对此无能为力.计算结果显示反射率是一个渐变过程,说明其中发生了量子反射,而ATMM恰恰可以用来解决这类问题.We calculate transition and reflection coefficients of arbitrary barrier by analytical transfer matrix method （ATMM）, and then apply the method to the quantum reflection above the barrier. The results in step-exponential barrier and parabolic barrier by ATMM are more accurate than those by WKB approximation. Furthermore, when the energy of the particle is greater than the barrier maximum, only ATMM rather than WKB can get precise results. The results show that reflection coefficients gradually change to zero, where quantum reflection happens. These problems can be solved by ATMM exactly.

关 键 词：阶跃指数衰减势垒 平方势垒 量子反射 转移矩阵方法 

分 类 号：O413.1[理学—理论物理]