Question: Show that in vacuum, an electron cannot directly recombine with a hole in the Dirac sea, that is, a positron, by emission of a single

Show that in vacuum, an electron cannot directly recombine with a hole in the Dirac sea, that is, a positron, by emission of a single photon, because this would violate energy and momentum conservation. Electron– positron recombination requires emission of two photons, unlike electron–hole recombination between bands in semiconductors.

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