论文标题
根据量子波阻抗功能重新重新制定传输和反射问题
Reformulation of a transmission and reflection problems in terms of a quantum wave impedance function
论文作者
论文摘要
在1Dshrödinger方程的底座上，得出了量子波阻抗函数的非线性一阶微分方程（Ricatti类型）。对于单个矩形屏障的情况，讨论并证明了这种方法的优势。散射和结合状态问题均根据量子波阻抗进行了重新校正，并考虑了其解决这两个问题的应用。在量子波阻抗方法的底部发现了反射和传输系数的表达式。
On the base of a 1D Shrödinger equation the non-linear first-order differential equation (Ricatti type) for a quantum wave impedance function was derived. The advantages of this approach were discussed and demonstrated for a case of a single rectangular barrier. Both the scattering and the bound states problem were reformulated in terms of a quantum wave impedance and its application for solving both these problems was considered. The expressions for a reflection and a transmission coefficient were found on the base of a quantum wave impedance approach.
