Title: Relativistic Quantum Field Theory Approach to Wavepacket Tunneling: Lack of Superluminal Transmission Show Chinese title

Title: 相对论量子场论方法研究波包隧穿：缺乏超光速传输

Abstract: We investigate relativistic wavepacket dynamics for an electron tunneling through a potential barrier employing space-time resolved solutions to relativistic quantum field theory (QFT) equations. We prove by linking the QFT property of micro-causality to the wavepacket behavior that the tunneling dynamics is fully causal, precluding instantaneous or superluminal effects that have recently been reported in the literature. We illustrate these results by performing numerical computations for an electron tunneling through a potential barrier for standard tunneling as well for Klein tunneling. In all cases (Klein tunneling \ or regular tunneling across a standard or a supercritical potential) the transmitted wavepacket remains in the causal envelope of the propagator, even when its average position lies ahead of the average position of the corresponding freely propagated wavepacket. Show Chinese abstract

Abstract: 我们研究电子通过势垒的相对论波包动力学，采用相对论量子场论（QFT）方程的空间-时间解析解。 我们通过将QFT的微观因果性属性与波包行为联系起来进行证明，得出隧穿动力学是完全因果的，排除了近期文献中报告的瞬时或超光速效应。 我们通过数值计算来说明这些结果，对电子通过势垒的标准隧穿以及Klein隧穿进行了计算。 在所有情况下（Klein隧穿或通过标准势或超临界势的常规隧穿），透射波包始终处于传播子的因果包络内，即使其平均位置位于相应自由传播波包的平均位置之前。