Prove that the probability per unit volume per unit time that the external
potential
\[ \vec{A}= (0,0,a\cos\omega t), A_0=0\]
creates an electron-positron pair in the vacuum is given by
\[ R = \frac{2}{3} \frac{e^2}{4\pi} \Big(\frac{|a|^2}{2} \Big) \omega^2 \Big(
1+ \frac{2m^2}{\omega^2}\Big) \sqrt{1- \frac{4m^2}{\omega^2}} \]
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4727:Diamond Point
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