标题： Goos-H{ä}nchen Shift for Relativistic Particles Based on Dirac's Equation 显示英文标题

标题： Goos-H{ä}nchen Shift for Relativistic Particles Based on Dirac's Equation

摘要： 哥-亨钦（GH）位移是一种特殊的光学现象，描述的是当有限宽度的光在介质界面发生全内反射时，在入射平面内平行于反射光的位移。 尽管在光学中GH位移已被广泛实验观察到，但在相对论量子力学中，由于克莱因悖论的存在，其推广尚未完全被揭示。 最近，王基于在相应能量区域对狄拉克方程采用的不同解，解决了克莱因悖论。 \href{https://dx.doi.org/10.1088/2399-6528/abd340}{[J. Phys. Commun.{\bf 4}, 125010 (2020)]}。 根据王的方法，我们计算了当相对论条件下的狄拉克费米子以倾斜角度入射到三维无限势垒时的GH位移。 此外，我们发现相对论量子GH位移可以是负的，这与非相对论情况不同。 显示英文摘要

摘要： The Goos-H{\"a}nchen (GH) shift is a specifical optical phenomenon that describes a shift parallel to the reflected light inside the plane of incidence, when a finite-width light undergoes total internal reflection at the interface of medium. Although the GH shift in optics has been widely observed experimentally, its generalization remains uncovered completely in relativistic quantum mechanics for the existence of Klein's paradox. Recently, Wang has solved Klein's paradox based on the different solutions adpoted for Dirac's equation with step potential in corresponding energy regions \href{https://dx.doi.org/10.1088/2399-6528/abd340}{[J. Phys. Commun. {\bf 4}, 125010 (2020)]}. In the light of Wang's method, we calculate the GH shift for Dirac fermions under relativistic conditions when they are incident obliquely on a three-dimensional infinite potential barrier. Furthermore, we find that the relativistic quantum GH shift can be negative, which is different from the non-relativistic case.