论文标题
一维相对论量子力学中的定位
Localization in one-dimensional relativistic quantum mechanics
论文作者
论文摘要
我们在一个维度上介绍了安德森本地化的相对论类似物。我们使用DIRAC方程来计算旋转 - $ \ frac {1} {2} $粒子在矩形屏障上入射的传输概率。使用转移矩阵形式主义，我们通过数值计算大量相同屏障在一个维度随机扩散的情况下的传输概率。当入射粒子具有三个成分动量并显示旋转叶片现象时的特殊情况。我们的计算表明，相对论粒子的定位行为与安德森本地化相似。还获得了许多是非相关案例的概括的结果。
We present the relativistic analogue of Anderson localization in one dimension. We use Dirac equation to calculate the transmission probability for a spin-$\frac{1}{2}$ particle incident upon a rectangular barrier. Using the transfer matrix formalism, we numerically compute the transmission probability for the case of a large number of identical barriers spread randomly in one dimension. The particular case when the incident particle has three component momentum and shows spin-flip phenomena is also considered. Our calculations suggest that the incident relativistic particle shows localization behaviour similar to that of Anderson localization. A number of results which are generalizations of the non-relativistic case are also obtained.
