Super Gaussian enhancers in the Schwinger mechanism

Ibrahim Akal

Figure 1. A comparison of function g plotted versus t. The numbers in the legend correspond to the integer N in (6). The pink curve corresponds to a modified Sauter pulse with the frequency shift $\omega \to \omega \pi /2$ leading to the same ${{ \mathcal W }}_{0}$ as the Lorentzian (blue). For $N\to \infty $ we approach the usual rectangular potential barrier.