论文标题
相对论大型自旋0颗粒的瞬时隧道
Instantaneous tunneling of relativistic massive spin-0 particles
论文作者
论文摘要
隧道时间问题早些时候在Phys中进行了研究。 Rev. Lett 108 170402(2012)使用非权利主义的到达时间(TOA)操作员预测隧道时间是瞬时的。这就提出了一个问题,即瞬时隧道时间是否是使用非权利主义理论的结果。在这里,我们通过提出关于在存在相互作用势能通过量化的情况下对旋转0颗粒的相对论toa-oserator的构建的形式主义扩展的分析。然后,我们构建相应的屏障遍历时间操作员,并施加了屏障高度小于粒子的剩余质量能的条件。我们表明,只有入射波袋的动量分布的高级式能量成分有助于屏障遍历时间,而低级式组件则立即传输。
The tunneling time problem earlier studied in Phys. Rev. Lett 108 170402 (2012) using a non-relativistic time-of-arrival (TOA) operator predicted that tunneling time is instantaneous. This raises the question on whether instantaneous tunneling time is a consequence of using a non-relativistic theory. Here, we extend the analysis by proposing a formalism on the construction of relativistic TOA-operators for spin-0 particles in the presence of an interaction potential via quantization. We then construct the corresponding barrier traversal time operator and impose the condition that the barrier height is less than the rest mass energy of the particle. We show that only the above-barrier energy components of the incident wavepacket's momentum distribution contribute to the barrier traversal time while the below-barrier components are transmitted instantaneously.