AI 中文总结
研究通过非对称势垒的克莱因隧穿，证明左右入射传输概率相同，利用含时维格纳函数模拟确定势垒内部方向性，指出克莱因区域定向控制在于对产生而非传输电流。
AI 中文摘要
我们证明，当每个渐近端在每个方向上都有一个单一传播通道时，通过空间非对称势垒的克莱因隧穿的传输概率对于左右入射是相同的。含时维格纳函数模拟证实了这一点，并确定了势垒内部缺失的方向性，其中尖锐边缘产生的势垒下负能量粒子数比平滑边缘多几倍。因此，克莱因区域中的定向控制在于对产生而非传输电流。
英文摘要
We prove that the transmission probability for the Klein tunneling through a spatially asymmetric barrier is the same for left and right incidence whenever each asymptotic lead carries a single propagating channel per direction. Time-dependent Wigner-function simulations confirm this and locate the missing directionality in the barrier's interior, where a sharp edge generates several times more under-barrier negative-energy population than a smooth one. Directional control in the Klein regime therefore resides in pair production rather than in the transmitted current.
Comments6 pages, 3 figures
