论文标题
解决克莱因的悖论
Solving Klein's paradox
论文作者
论文摘要
当狄拉克粒子遇到无限宽度的台阶电位时，我们找出著名的克莱因悖论是由反射问题引起的。关键是要以一种方式分组求解dirac方程，以使粒子能量E大于（较小）的区域大于电位V，采用正（负）能量分支的解决方案。对于具有分段常数电势的klein-gordon方程，该方程将脱耦到正能量方程，并且反射问题以相同的方式解决。都考虑了无限且有限的潜力。反射系数永远不会超过1。将结果应用于讨论没有质量或质量很小的颗粒的传输。
We figure out the famous Klein's paradox arising from the reflection problem when a Dirac particle encounters a step potential with infinite width. The key is to piecewise solve Dirac equation in such a way that in the region where the particle's energy E is greater (less) than the potential V, the solution of the positive (negative) energy branch is adopted. In the case of Klein-Gordon equation with a piecewise constant potential, the equation is decoupled to positive and negative energy equations, and reflection problem is solved in the same way. Both infinitely and finitely wide potentials are considered. The reflection coefficient never exceeds 1. The results are applied to discuss the transmissions of particles with no mass or with very small mass.
