Taking into account the anomalous magnetic moment of the electron by adding the socalled Pauli anomalous interaction term to the usual Dirac Hamiltonian for an electron in a constant magnetic field H, we conclude that spontaneous pair creation may occur for values of H of the order of m²c⁴e³, a "critical field" beyond which classical electro-dynamics breaks down.
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R. F. O’Connell (1968) studied this question.
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