论文标题
超越相对论波函数的轻曲传播：数值结果
Beyond the light-cone propagation of relativistic wavefunctions: numerical results
论文作者
论文摘要
众所周知，当传播器仅限于正能量部门时，相对论波形在光锥上正式传播。通过构造，这种情况是Salpeter（或相对论Schrödinger）方程的解决方案，或者在Foldy-Wouthuysen代表中定义的Klein-Gordon和Dirac波形。在这项工作中，我们对不同类型的波袋的自由繁殖的非伴侣性程度均具有最初紧凑的空间支持。在研究的示例中，我们发现非造成性是一种小的瞬态效应，在大多数情况下可能会被忽略。我们显示了几个数值结果，并讨论了有关此特殊动力学特征的发现的基本和实际后果。
It is known that relativistic wavefunctions formally propagate beyond the light cone when the propagator is limited to the positive energy sector. By construction, this is the case for solutions of the Salpeter (or relativistic Schrödinger) equation or for Klein-Gordon and Dirac wavefunctions defined in the Foldy-Wouthuysen representation. In this work we investigate quantitatively the degree of non-causality for free propagation for different types of wavepackets all having initially a compact spatial support. In the studied examples we find that non-causality appears as a small transient effect that can in most cases be neglected. We display several numerical results and discuss the fundamental and practical consequences of our findings concerning this peculiar dynamical feature.
