QED外场问题的时间演化
Time Evolution of the External Field Problem in QED
摘要：
我们构造了具有光滑、紧支撑、含时电磁势的第二量子化Dirac方程的时间演化，并确定了所涉及的自由度。早期的工作（如Ruijsenaars）观察到了Shale-Stinespring条件，并表明当且仅当外部场的磁分量为零时，单粒子时间演化可以提升到Fock空间。我们仔细研究的想法，观察到较早的Fierz和Scharf，时间演化可以实现时变Fock空间之间。为了定义这些福克空间，我们被引导考虑参考真空和极化类。我们表明，这种实现是一个独立的阶段所选择的参考真空或极化和所有诱导跃迁概率是明确的和唯一的。
英文摘要：
We construct the time-evolution for the second quantized Dirac equation subject to a smooth, compactly supported, time dependent electromagnetic potential and identify the degrees of freedom involved. Earlier works on this (e.g. Ruijsenaars) observed the Shale-Stinespring condition and showed that the one-particle time-evolution can be lifted to Fock space if and only if the external field had zero magnetic components. We scrutinize the idea, observed earlier by Fierz and Scharf, that the time-evolution can be implemented between time varying Fock spaces. In order to define these Fock spaces we are led to consider classes of reference vacua and polarizations. We show that this implementation is up to a phase independent of the chosen reference vacuum or polarization and that all induced transition probabilities are well-defined and unique.
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